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## Unit: Addition and subtraction

Basic addition and subtraction.

- Basic addition (Opens a modal)
- Basic subtraction (Opens a modal)
- Add and subtract: pieces of fruit (Opens a modal)
- Relating addition and subtraction (Opens a modal)
- Add within 5 7 questions Practice
- Subtract within 5 7 questions Practice
- Add within 10 7 questions Practice
- Subtract within 10 7 questions Practice
- Relate addition and subtraction 7 questions Practice
- Getting to 10 by filling boxes (Opens a modal)
- Adding to 10 (Opens a modal)
- Make 10 (grids and number bonds) 7 questions Practice
- Make 10 7 questions Practice

## Addition and subtraction word problems within 10

- Addition word problems within 10 (Opens a modal)
- Subtraction word problems within 10 (Opens a modal)
- Addition word problems within 10 7 questions Practice
- Subtraction word problems within 10 7 questions Practice

## Addition and subtraction within 20

- Adding within 20 using place value blocks (Opens a modal)
- Adding within 20 using ten frames (Opens a modal)
- Adding 7 + 6 (Opens a modal)
- Adding 8 + 7 (Opens a modal)
- Adding with arrays (Opens a modal)
- Subtracting different ways (Opens a modal)
- Subtract within 20 using a number line (Opens a modal)
- Subtract within 20 using place value blocks (Opens a modal)
- Subtract within 20 using ten frames (Opens a modal)
- Subtracting 14 - 6 (Opens a modal)
- Add within 20 visually 7 questions Practice
- Add within 20 7 questions Practice
- Adding with arrays 4 questions Practice
- Subtract within 20 visually 7 questions Practice
- Subtract within 20 7 questions Practice
- Find missing number (add and subtract within 20) 7 questions Practice
- Add & subtract within 20 7 questions Practice

## Word problems within 20

- Addition and subtraction word problems: superheroes (Opens a modal)
- Addition and subtraction word problems: gorillas (Opens a modal)
- Addition and subtraction word problems 1 7 questions Practice
- Addition and subtraction word problems 2 7 questions Practice
- Add and subtract within 20 word problems 7 questions Practice

## Word problems with "more" and "fewer"

- Comparison word problems: marbles (Opens a modal)
- Comparison word problems: roly-polies (Opens a modal)
- Word problems with "more" and "fewer" 2 7 questions Practice

## Intro to addition with 2-digit numbers

- Adding 2-digit numbers without regrouping (Opens a modal)
- Adding 2-digit numbers without regrouping 1 (Opens a modal)
- Example: Adding 2-digit numbers (no carrying) (Opens a modal)
- Breaking apart 2-digit addition problems (Opens a modal)
- Regrouping to add 1-digit number (Opens a modal)
- Adding up to four 2-digit numbers 4 questions Practice
- Break apart 2-digit addition problems 4 questions Practice
- Regroup when adding 1-digit numbers 7 questions Practice

## Intro to subtraction with 2-digit numbers

- Subtracting two-digit numbers without regrouping (Opens a modal)
- Subtracting 2-digit numbers without regrouping 1 (Opens a modal)
- Subtracting a 1-digit number with regrouping (Opens a modal)
- Subtract within 100 using place value blocks 4 questions Practice
- Subtract within 100 using a number line 4 questions Practice
- Subtract 1-digit numbers with regrouping 7 questions Practice

## Strategies for adding and subtracting within 100

- Adding 53+17 by making a group of 10 (Opens a modal)
- Adding by making a group of 10 (Opens a modal)
- Strategies for adding 2-digit numbers (Opens a modal)
- Addition and subtraction with number lines (Opens a modal)
- Add 2-digit numbers by making tens 4 questions Practice
- Add 2-digit numbers by making tens 2 4 questions Practice
- Select strategies for adding within 100 4 questions Practice
- Add within 100 using a number line 4 questions Practice

## Addition within 100

- Understanding place value when adding ones (Opens a modal)
- Understanding place value when adding tens (Opens a modal)
- Adding with regrouping (Opens a modal)
- Add within 100 using place value blocks 4 questions Practice

## Subtraction within 100

## Word problems within 100

- Adding and subtracting on number line word problems (Opens a modal)
- Adding two digit numbers on a number line (Opens a modal)
- Subtraction word problem: tennis balls (Opens a modal)
- Addition word problem: horses (Opens a modal)
- Subtraction word problem: snow (Opens a modal)
- Subtraction word problem: crayons (Opens a modal)
- Multi step addition word problem (Opens a modal)
- Multi-step subtraction word problem (Opens a modal)
- Add and subtract on the number line word problems 4 questions Practice
- Addition word problems within 100 4 questions Practice
- Subtraction word problems within 100 4 questions Practice
- 2-step addition word problems within 100 4 questions Practice
- 2-step subtraction word problems within 100 4 questions Practice

## Adding 1s, 10s, and 100s

- Adding 10 or 100 (Opens a modal)
- Adding 1s, 10s, and 100s (Opens a modal)
- Adding 3-digit numbers (no regrouping) (Opens a modal)
- Add 10s and 100s (no regrouping) 4 questions Practice
- Add within 1,000 using place value blocks 4 questions Practice

## Subtracting 1s, 10s, and 100s

- Subtracting 1, 10, or 100 (Opens a modal)
- Subtracting 1s, 10s, and 100s (Opens a modal)
- Subtracting 3-digit numbers (no regrouping) (Opens a modal)
- Subtract 10s and 100s (no regrouping) 7 questions Practice
- Subtract within 1,000 using place value blocks 4 questions Practice

## Strategies for adding 2- and 3-digit numbers

- Breaking apart 3-digit addition problems (Opens a modal)
- Solving 3-digit addition in your head (Opens a modal)
- Addition using groups of 10 and 100 (Opens a modal)
- Adding and subtracting on number line (Opens a modal)
- Break apart 3-digit addition problems 4 questions Practice
- Add using groups of 10 and 100 4 questions Practice
- Add on a number line 4 questions Practice
- Select strategies for adding within 1000 4 questions Practice

## Addition with regrouping within 1000

- Using place value to add 3-digit numbers: part 2 (Opens a modal)
- Adding 3-digit numbers (Opens a modal)
- Add within 1000 4 questions Practice

## Subtraction with regrouping within 1000

- Worked example: Subtracting 3-digit numbers (regrouping) (Opens a modal)
- Worked example: Subtracting 3-digit numbers (regrouping twice) (Opens a modal)
- Worked example: Subtracting 3-digit numbers (regrouping from 0) (Opens a modal)
- Subtracting in your head (no regrouping) (Opens a modal)
- Subtract on a number line 4 questions Practice
- Subtract within 1000 4 questions Practice

## Addition and subtraction missing value problems

- Missing numbers in addition and subtraction (Opens a modal)
- Missing number for 3-digit addition within 1000 (Opens a modal)
- Find the missing number (add and subtract within 100) 4 questions Practice
- Find the missing number (add and subtract within 1000) 4 questions Practice

## Addition and subtraction greater than 1000

- Relate place value to standard algorithm for multi-digit addition (Opens a modal)
- Multi-digit addition with regrouping (Opens a modal)
- Multi-digit subtraction with regrouping: 6798-3359 (Opens a modal)
- Multi-digit subtraction with regrouping: 7329-6278 (Opens a modal)
- Multi-digit subtraction with regrouping twice (Opens a modal)
- Alternate mental subtraction method (Opens a modal)
- Adding multi-digit numbers: 48,029+233,930 (Opens a modal)
- Relate place value to standard algorithm for multi-digit subtraction (Opens a modal)
- Multi-digit subtraction: 389,002-76,151 (Opens a modal)
- Multi-digit addition 4 questions Practice
- Multi-digit subtraction 4 questions Practice

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## Home, Sweet Home: Additional Ways to Practice Addition Are Under Your Roof

- For a new twist on the traditional card game “war,” remove all the 10s and face cards, and split the remaining cards into two equal stacks. After you each turn over a card, have your child mentally add the two numbers. If she gets the correct answer within a certain time limit (say, 10 seconds), she gets to keep the cards. If not, you get to the keep the cards.
- Next time the family socks come out of the dryer, place them in piles based on color. Have your child first estimate how many socks are in each pile, then add those numbers. Then let him count the socks in each pile and add those numbers. Finally, ask him if he can subtract the smaller number from larger number and give you the correct answer.
- Lastly, your kitchen is loaded with items that can quickly be turned into addition problems, from fruit, cereal, and chips to pasta, eggs, and slices of bread.

## Problem Solving on Addition

Number of boys were playing cricket = 3

Number of boys came along and played cricket with them = 2

Therefore, total number of boys were playing cricket = 3 + 2 = 5

2. Harry had 5 stamps. Mother gave him 4 more. How many stamps in all did Harry have?

Number of stamps Harry had = 5

Number of stamps his mother gave him = 4

Therefore, total number of stamps he have = 5 + 4 = 9

3. Rachael had 6 stamps. Father gave her 2 stamps. How many stamps does Rachael have now?

Number of stamps Rachael had = 6

Number of stamps her father gave her = 4

Therefore, total number of stamps she have now = 6 + 4 = 10

Therefore, total number of tables in a classroom = 2 + 1 + 3 = 6

Amount of money Jack spent for a pen = $5

Amount of money he spent for a color box = $3

Amount of money he spent for a pencil box = $2

Therefore, total amount of money he spend altogether = $5 + $3 + $2 = 10

6. There were 6 yellow hats, 2 red hats and 6 blue hats. How many hats were there?

Therefore, total number of hats were there = 6 + 2 + 6 = 14

7. Alex had 4 books on cars, 5 on airplanes and 7 on boats. How many books did he have in all?

Number of books on cars Alex had = 4

Number of books on airplanes = 5

Therefore, total number of books he have in all = 4 + 5 + 7 = 16

More examples on statement problem solving on addition:

Number of score Mary had in her first turn = 8

Number of score in her second turn = 5

Number of score in her third turn = 7

Therefore, total number of score Mary had in a game = 8 + 5 + 7 = 20

9. Sarah had 25 cards. She got 7 cards more. How many cards did she have then?

Number of cards Sarah had = 25

Number of cards she got more = 7

Therefore, total number of cards she have then = 25 + 7 = 32

10. A farmer had 45 sheep before he bought 25 more. How many sheep did he have then?

Number of sheep a farmer had = 45

Number of sheep he bought more = 25

Therefore, total number of sheep he have then = 45 + 25 = 70

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## Addition Word Problem Worksheets

Single-digit Addition Word Problems

Addition Word Problems: Sum up to 20

Addition Problems: Two-digit and Single-digit

Two-digit Addition Problems - No Regrouping

Two-digit Addition Problems - With Regrouping

Three-digit and Two-digit Addition

Three-digit Addition Word Problems

Multi-digit Addition Word Problems: Adding Large Numbers

» Multiplication Word Problems

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## Problem Solving on Addition | Addition Word Problems with Answers

## What is meant by Addition? | Addition – Definition | Meaning of Addition

## Addition Word Problems

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## Career Sidekick

## Interview Answers

26 Good Examples of Problem Solving (Interview Answers)

300+ Interview Questions Answered.

300+ Interview Questions with Expert Answers.

## Examples of Problem Solving Scenarios in the Workplace

- Correcting a mistake at work, whether it was made by you or someone else
- Overcoming a delay at work through problem solving and communication
- Resolving an issue with a difficult or upset customer
- Overcoming issues related to a limited budget, and still delivering good work through the use of creative problem solving
- Overcoming a scheduling/staffing shortage in the department to still deliver excellent work
- Troubleshooting and resolving technical issues
- Handling and resolving a conflict with a coworker
- Solving any problems related to money, customer billing, accounting and bookkeeping, etc.
- Taking initiative when another team member overlooked or missed something important
- Taking initiative to meet with your superior to discuss a problem before it became potentially worse
- Solving a safety issue at work or reporting the issue to those who could solve it
- Using problem solving abilities to reduce/eliminate a company expense
- Finding a way to make the company more profitable through new service or product offerings, new pricing ideas, promotion and sale ideas, etc.
- Changing how a process, team, or task is organized to make it more efficient
- Using creative thinking to come up with a solution that the company hasn’t used before
- Performing research to collect data and information to find a new solution to a problem
- Boosting a company or team’s performance by improving some aspect of communication among employees
- Finding a new piece of data that can guide a company’s decisions or strategy better in a certain area

## Problem Solving Examples for Recent Grads/Entry Level Job Seekers

- Coordinating work between team members in a class project
- Reassigning a missing team member’s work to other group members in a class project
- Adjusting your workflow on a project to accommodate a tight deadline
- Speaking to your professor to get help when you were struggling or unsure about a project
- Asking classmates, peers, or professors for help in an area of struggle
- Talking to your academic advisor to brainstorm solutions to a problem you were facing
- Researching solutions to an academic problem online, via Google or other methods
- Using problem solving and creative thinking to obtain an internship or other work opportunity during school after struggling at first

## Interview Answers to “Give an Example of an Occasion When You Used Logic to Solve a Problem”

## Example Answer 1:

At my current job, I recently solved a problem where a client was upset about our software pricing. They had misunderstood the sales representative who explained pricing originally, and when their package renewed for its second month, they called to complain about the invoice. I apologized for the confusion and then spoke to our billing team to see what type of solution we could come up with. We decided that the best course of action was to offer a long-term pricing package that would provide a discount. This not only solved the problem but got the customer to agree to a longer-term contract, which means we’ll keep their business for at least one year now, and they’re happy with the pricing. I feel I got the best possible outcome and the way I chose to solve the problem was effective.

## Example Answer 2:

In my last job, I had to do quite a bit of problem solving related to our shift scheduling. We had four people quit within a week and the department was severely understaffed. I coordinated a ramp-up of our hiring efforts, I got approval from the department head to offer bonuses for overtime work, and then I found eight employees who were willing to do overtime this month. I think the key problem solving skills here were taking initiative, communicating clearly, and reacting quickly to solve this problem before it became an even bigger issue.

## Example Answer 3:

In my current marketing role, my manager asked me to come up with a solution to our declining social media engagement. I assessed our current strategy and recent results, analyzed what some of our top competitors were doing, and then came up with an exact blueprint we could follow this year to emulate our best competitors but also stand out and develop a unique voice as a brand. I feel this is a good example of using logic to solve a problem because it was based on analysis and observation of competitors, rather than guessing or quickly reacting to the situation without reliable data. I always use logic and data to solve problems when possible. The project turned out to be a success and we increased our social media engagement by an average of 82% by the end of the year.

## Answering Questions About Problem Solving with the STAR Method

Finally, describe a positive result you got.

## What Are Good Outcomes of Problem Solving?

Below are good outcomes of problem solving:

- Saving the company time or money
- Making the company money
- Pleasing/keeping a customer
- Obtaining new customers
- Solving a safety issue
- Solving a staffing/scheduling issue
- Solving a logistical issue
- Solving a company hiring issue
- Solving a technical/software issue
- Making a process more efficient and faster for the company
- Creating a new business process to make the company more profitable
- Improving the company’s brand/image/reputation
- Getting the company positive reviews from customers/clients

## Tips to Improve Your Problem Solving Skills

Related interview questions & answers:

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## Why should we hire you?

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## What to say in a job interview

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## Why did you apply for this position?

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## Follow up email after interview

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## Problem Solving Scenarios With Examples and Solutions

## What is Problem Solving?

## Problem Solving Scenario we come Across at Work

## Examples of Problem Solving Scenario

## Problem-Solving Examples and Solutions

## What is a good example of problem-solving for interview?

## What is problem-solving explain with an example?

## RELATED ARTICLES MORE FROM AUTHOR

## What is Addition in Maths?

## Addition Definition

## Addition Symbol

## Parts of Addition

An addition statement can be split into the following parts.

- Addend: The numbers that are added are known as the addends.
- Addition Symbol: There is the addition symbol (+) which is placed in between the addends. If the statement is written horizontally as shown below, then we place an equal to sign (=) just before the sum is written.
- Sum: The final result obtained after adding the addends is known as the sum.

## Addition Formula

## How to Solve Addition Sums?

## Addition Without Regrouping

Solution: We will use the following given steps and try to relate them with the following figure.

- Step 1: Start with the digits in ones column. (4 + 3 = 7)
- Step 2: Move to the digits in tens column. (3 + 2 = 5)
- Step 3: Now add the digits in hundreds column. (2 + 1 = 3)
- Step 4: After this, add the digits in thousands column. (1 + 1 = 2)
- Step 5: Finally, add the digits in ten thousands column. (1 + 2 = 3)
- Step 6: 11234 + 21123 = 32357

## Addition With Regrouping

Solution: Let us follow the given steps and try to relate them with the following figure.

- Step 1: Start with the digits in ones place. (5 + 5 = 10). Here the sum is 10. The tens digit of the sum, that is, 1, will be carried to the preceding column.
- Step 2: Add the digits in the tens column along with the carryover 1. This means, 1 (carry-over) + 7 + 6 = 14. Here the sum is 14. The tens digit of the sum, that is, 1, will be carried to the hundreds column.
- Step 3: Now, add the digits in the hundreds place along with the carryover digit 1. This means, 1 (carry-over) + 4 + 8 = 13. Here the sum is 13. The tens digit of the sum, that is, 1, will be carried to the thousands column.
- Step 4: Now, add the digits in the thousands place along with the carryover digit 1, that is, 1 (carry-over) + 3 + 2 = 6
- Step 5: Therefore, the sum of 3475 + 2865 = 6340

## Number Line Addition

Example: Add 10 + 3 using a number line

## Addition Properties

While performing addition we commonly use the properties listed below:

- Commutative Property: According to this property, the sum of two or more addends remains the same irrespective of the order of the addends. For example, 8 + 7 = 7 + 8 = 15
- Associative Property : According to this property, the sum of three or more addends remains the same irrespective of the grouping of the addends. For example, 5 + (7 + 3) = (5 + 7) + 3 = 15
- Additive Identity Property : According to this property of addition, if we add 0 to any number, the resultant sum is always the actual number. For example, 0 + 7 = 7.

## Addition Word Problems

- Step 1: Add the digits in the ones place. (5 + 2 = 7)
- Step 2: Add the digits in the tens place. (3 + 3 = 6)
- Step 3: Add the digits in the hundreds place. (5 + 3 = 8)
- Step 4: Now add digits in the thousands place. (4 + 2 = 6)
- Step 5: 4535 + 2332 = 6867

Therefore, the total number of spectators present in the match = 6867

Here are a few tips and tricks that you can follow while performing addition in your everyday life.

- Words like 'put together, 'in all', 'altogether', 'total' give a clue that you need to add the given numbers.
- Start with the larger number and add the smaller number to it. For example, adding 12 to 43 is easier than adding 43 to 12.
- Break numbers according to their place values to make addition easier. For example, 22 + 64 can be split as 20 + 2 + 60 + 4. While this looks difficult, it makes mental addition easier.
- When adding different digit numbers, make sure to place the numbers one below the other in the correct column of their place value.
- Adding zero to any number gives the number itself.
- When 1 is added to any number, the sum is the successor of that number.
- The sign used to denote addition is '+'
- The order in which you add a set of numbers doesn't matter, the sum remains the same. For example, 2 + 5 + 3 = 10; and 5 + 3 + 2 = 10. It is called the associative property of addition.

- What is regrouping in math addition?
- Addition Calculator
- Addition of Algebraic Expressions
- Addition of Fractions
- Adding Decimals

## Addition Examples

Number of bees who set off to suck nectar = 8

Number of bees who joined them = 7

Therefore, on performing addition, the total number of bees who went together were: 8 + 7= 15.

Example 2: Using addition tricks, solve the following addition word problem.

Number of shells collected by Jerry = 89

Number of shells collected by Eva = 54

Therefore, the total number of sea shells collected by both of them = 89 + 54 = 143

Number of easter eggs found in the Clubhouse = 2403

Number of easter eggs found in the park = 50

Number of easter eggs found in the Town Hall = 12

Answer: Therefore, the total number of eggs found in that day's hunt is 2465.

go to slide go to slide go to slide

## Practice Questions on Addition

## FAQs on Addition

## Where do we use Addition?

## What are the Types of Addition?

## What are Addition Strategies?

## What are the Real-Life Examples of Addition?

## What are the Properties of Addition?

- Commutative Property : According to this property, the sum of two or more addends remains the same even if the order of the addends changes. For example, 3 + 7 = 7 + 3 = 10
- Associative Property : According to this property, the sum of three or more addends remains the same irrespective of the grouping of the addends. For example, (8 + 7) + 2 = 8 + (7 + 2) = 17
- Additive Identity Property: According to this property of addition, if we add 0 to any number, the resultant sum is always the actual number. For example, 0 + 16 = 16.

## What are the Parts of Addition?

- Addend: In addition, the numbers or terms that are added together are known as the addends. In this case, 4, 7, and 2 are the addends.
- Addition symbol (+) and the equal-to sign (=) : The addition symbol is used in between the addends and the equal-to sign is placed just before the sum.
- Sum: The final result obtained after performing addition is known as the sum. Here, the sum is 13.

## What is the Identity Property of Addition?

## What is the Difference Between Addition and Subtraction?

## How to Write an Addition Sentence?

## How to do Addition with Regrouping?

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A jolt of creativity would help. But it doesn’t come.

There are 120 examples in total.

The list of examples is supplemented by tips to create engaging and challenging math word problems.

## 120 Math word problems, categorized by skill

Best for: 1st grade, 2nd grade

## Subtraction word problems

Best for: 1st grade, second grade

## Practice math word problems with Prodigy Math

## Multiplication word problems

Best for: 2nd grade, 3rd grade

## Division word problems

Best for: 3rd grade, 4th grade, 5th grade

## Mixed operations word problems

## Ordering and number sense word problems

33. Composing Numbers: What number is 6 tens and 10 ones?

## Fractions word problems

Best for: 3rd grade, 4th grade, 5th grade, 6th grade

## Decimals word problems

Best for: 4th grade, 5th grade

## Comparing and sequencing word problems

Best for: Kindergarten, 1st grade, 2nd grade

53. Comparing 1-Digit Integers: You have 3 apples and your friend has 5 apples. Who has more?

54. Comparing 2-Digit Integers: You have 50 candies and your friend has 75 candies. Who has more?

## Time word problems

## Money word problems

Best for: 1st grade, 2nd grade, 3rd grade, 4th grade, 5th grade

## Physical measurement word problems

Best for: 1st grade, 2nd grade, 3rd grade, 4th grade

## Ratios and percentages word problems

Best for: 4th grade, 5th grade, 6th grade

## Probability and data relationships word problems

Best for: 4th grade, 5th grade, 6th grade, 7th grade

## Geometry word problems

Best for: 4th grade, 5th grade, 6th grade, 7th grade, 8th grade

99. Understanding 2D Shapes: Kevin draws a shape with 4 equal sides. What shape did he draw?

102. Understanding 3D Shapes: Martha draws a shape that has 6 square faces. What shape did she draw?

## Variables word problems

Best for: 6th grade, 7th grade, 8th grade

## How to easily make your own math word problems & word problems worksheets

- Link to Student Interests: By framing your word problems with student interests, you’ll likely grab attention. For example, if most of your class loves American football, a measurement problem could involve the throwing distance of a famous quarterback.
- Make Questions Topical: Writing a word problem that reflects current events or issues can engage students by giving them a clear, tangible way to apply their knowledge.
- Include Student Names: Naming a question’s characters after your students is an easy way make subject matter relatable, helping them work through the problem.
- Be Explicit: Repeating keywords distills the question, helping students focus on the core problem.
- Test Reading Comprehension: Flowery word choice and long sentences can hide a question’s key elements. Instead, use concise phrasing and grade-level vocabulary.
- Focus on Similar Interests: Framing too many questions with related interests -- such as football and basketball -- can alienate or disengage some students.
- Feature Red Herrings: Including unnecessary information introduces another problem-solving element, overwhelming many elementary students.

## Final thoughts about math word problems

## Addition Property of Equality: Definition, Formula, Examples

## Addition Property of Equality Definition

## Related Games

Consider an equation $x = y$, where x and y are real numbers.

If $x = y$ , then $x + c = y + c$

## Related Worksheets

We know the addition property of equality, so we will verify it by taking a few examples.

Arithmetically, we know that $13 + 9 = 22$.

Now, if we add 7 to both sides of the equation, we have

## Addition Property of Equality for Fractions

The addition property of equality can also be applied to equations including fractions.

$\Rightarrow \frac{a}{b} + \frac{c}{d} = \frac{p}{q} + \frac{c}{d}$

Solution: Initially, Martha is holding 7 marbles in both hands.

Solution: It is given that $y = z$ and $z = 7\;-\;x$

4. Using the addition property of equality, find the value of x in the equation $2x \;-\; 3 = 6$ .

Solution: The given equation is $2x \;-\; 3 = 6$

Divide both sides by 2, we get

## Addition Property of Equality: Definition with Examples

Attend this quiz & Test your knowledge.

## There are two packets of flour of the same weight. If 15 ounces of flour is added to each bag, what will be the equation of the new weights of the packets?

Can the number that we add to both sides be 0 in the addition property of equality?

What is the addition property of inequality?

Can the number that we add to both sides be negative in the addition property of equality?

Yes, the number which we add to both sides can be negative.

What are the applications of the addition property of equality?

How to solve the addition property of equality with fractions?

Example: $x \;-\; \frac{1}{2} = \frac{3}{2}$

Thus, $x \;-\; \frac{1}{2} + \frac{1}{2} = 1 + \frac{1}{2}$

## RELATED POSTS

- Multiplicative Comparison – Definition with Examples
- Distance Between Two Points
- Division – Definition with Examples
- What is Associative Property? Definition With Examples

## Math Word Problems

- Question : Understand what the question is asking. What operation or operations do you need to use to solve this question? Ask for help to understand the question if you can't do it on your own.
- Estimate : Use an estimation strategy, so you can check your answer for reasonableness in the evaluate step. Try underestimating and overestimating, so you know what range the answer is supposed to be in. Be flexible in rounding numbers if it will make your estimate easier.
- Strategize : Choose a strategy to solve the problem. Will you use mental math, manipulatives, or pencil and paper? Use a strategy that works for you. Save the calculator until the evaluate stage.
- Calculate : Use your strategy to solve the problem.
- Evaluate : Compare your answer to your estimate. If you under and overestimated, is the answer in the correct range. If you rounded up or down, does the answer make sense (e.g. is it a little less or a little more than the estimate). Also check with a calculator.

## Most Popular Math Word Problems this Week

## Various Word Problems

Various word problems for students who have mastered basic arithmetic and need a further challenge.

## Addition word problems

## Subtraction word problems

## Multiplication word problems

## Division word problems

## Multi-Step word problems

## Problem Solving in Mathematics

## Use Established Procedures

## Look for Clue Words

Common clue words for addition problems:

Common clue words for subtraction problems:

Common clue words for multiplication problems:

Common clue words for division problems:

## Read the Problem Carefully

- Ask yourself if you've seen a problem similar to this one. If so, what is similar about it?
- What did you need to do in that instance?
- What facts are you given about this problem?
- What facts do you still need to find out about this problem?

## Develop a Plan and Review Your Work

- Define your problem-solving strategy or strategies. This might mean identifying patterns, using known formulas, using sketches, and even guessing and checking.
- If your strategy doesn't work, it may lead you to an ah-ha moment and to a strategy that does work.

If it seems like you’ve solved the problem, ask yourself the following:

- Does your solution seem probable?
- Does it answer the initial question?
- Did you answer using the language in the question?
- Did you answer using the same units?

If you feel confident that the answer is “yes” to all questions, consider your problem solved.

## Tips and Hints

Some key questions to consider as you approach the problem may be:

- What are the keywords in the problem?
- Do I need a data visual, such as a diagram, list, table, chart, or graph?
- Is there a formula or equation that I'll need? If so, which one?
- Will I need to use a calculator? Is there a pattern I can use or follow?

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## Appendix A: Applications

Apply a problem-solving strategy to basic word problems, learning outcomes.

- Practice mindfulness with your attitude about word problems
- Apply a general problem-solving strategy to solve word problems

## Approach Word Problems with a Positive Attitude

Negative thoughts about word problems can be barriers to success.

When it comes to word problems, a positive attitude is a big step toward success.

If we take control and believe we can be successful, we will be able to master word problems.

## Use a Problem-Solving Strategy for Word Problems

Step 6. Check the answer in the problem and make sure it makes sense.

Step 7. Answer the question with a complete sentence.

If this were a homework exercise, our work might look like this:

https://ohm.lumenlearning.com/multiembedq.php?id=142694&theme=oea&iframe_resize_id=mom1

We list the steps we took to solve the previous example.

## Problem-Solving Strategy

- Read the word problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the internet.
- Identify what you are looking for.
- Name what you are looking for. Choose a variable to represent that quantity.
- Translate into an equation. It may be helpful to first restate the problem in one sentence before translating.
- Solve the equation using good algebra techniques.
- Check the answer in the problem. Make sure it makes sense.
- Answer the question with a complete sentence.

For a review of how to translate algebraic statements into words, watch the following video.

Let’s use this approach with another example.

https://ohm.lumenlearning.com/multiembedq.php?id=142722&theme=oea&iframe_resize_id=mom2

In the next example, we will apply our Problem-Solving Strategy to applications of percent.

https://ohm.lumenlearning.com/multiembedq.php?id=142735&theme=oea&iframe_resize_id=mom3

https://ohm.lumenlearning.com/multiembedq.php?id=142761&theme=oea&iframe_resize_id=mom4

- Write Algebraic Expressions from Statements: Form ax+b and a(x+b). Authored by : James Sousa (Mathispower4u.com) for Lumen Learning. Located at : https://youtu.be/Hub7ku7UHT4 . License : CC BY: Attribution
- Question ID 142694, 142722, 142735, 142761. Authored by : Lumen Learning. License : CC BY: Attribution . License Terms : IMathAS Community License, CC-BY + GPL
- Prealgebra. Provided by : OpenStax. License : CC BY: Attribution . License Terms : Download for free at http://cnx.org/contents/[email protected]

## Addition & Subtraction Word Problems

Related Topics: More Math Word Problems Math Worksheets

How to use bar models to solve addition and subtraction word problems? Examples:

- The Toyota car factory makes 7,736 cars a day. It makes 1,372 more cars a day than the Honda car factory. a) How many cars does the Honda factory make each day? b) If the Honda factory sells 3,459 cars today, how many cars will the Honda factory have left?
- A high school has 4,268 students. It has 768 less students than the college. a) How many students does the college have? b) How many students do both schools have altogether?
- The Chicago tribune, a newspaper, prints 483 papers on Tuesday. The newspaper prints 87 fewer newspapers on Thursday. a) How many newspapers does the paper print on Thursday? b) How many papers does the Chicago Tribune print on both Tuesday and Thursday?

How to use tape diagrams in Part-whole Model and Additive Comparison Model problems? Examples:

- The office supply closet had 25,473 large paperclips, 13,648 medium paperclips and 15,306 small paperclips. How many paperclips were in the closet?
- Raffle tickets were sold for a school fundraiser to parent, teachers, and students. 563 tickets were sold to teachers. 888 mire tickets were sold to students than to teachers. 904 tickets were sold to parents. a) About how many tickets were sold to parents, teachers, and students? Round each number to the nearest hundred to find your estimate. b) Exactly how many tickets were sold to parents, teachers, and students? c) Assess the reasonableness of your answer in (b). Use your estimate from (a) to explain.
- During the month of March 68,025 pounds of king crab were caught. If 15,614 pounds were caught in the first week of March, how many pounds were caught in the rest of the month?

## Addition and Subtraction of Decimals

## Addition of Decimals

## How to Add Decimals?

Addition of decimals is performed using the following steps:

Step 2: The numbers are lined up vertically along with each other as given in the below figure.

Let us understand the concept more clearly with the help of the following examples:

## Examples of Decimal Addition

Let us see some examples of adding decimals.

Example 1: Addition 1.091 + 1.33.

Example 2: Addition 0.0075 + 5.

Example 3: Add 9.1, 3.22, and 0.66.

As we can see, 9.1 has only one digit after the decimal but 3.22 and 0.66 have two digits.

Hence, we can write 9.1 as 9.10

Now add all the three decimals.

Click here to know about multiplying decimals .

## Subtraction of decimals

## How to Subtract Decimals?

Subtraction of decimals is performed using the following steps:

Step 2: The numbers are lined up vertically along with each other as shown below.

## Examples on Decimal Subtraction

Example 1: Subtraction: 7.304 – 1.15

Example 2: Subtraction 4.1 – 0.94

## Practice Questions

## Frequently Asked Questions – FAQs

Put your understanding of this concept to test by answering a few MCQs. Click ‘Start Quiz’ to begin!

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Addition and subtraction word problems within 10. 9 questions. Addition and subtraction within 20. Word problems within 20. Word problems with "more" and "fewer". 11 questions. Intro to addition with 2-digit numbers. Intro to subtraction with 2-digit numbers. Strategies for adding and subtracting within 100.

Kids solve addition problems with two-digit addends and no regrouping on this second grade math worksheet. 2nd grade. Math. Worksheet. Adding Up To 20. Worksheet. Adding Up To 20. Adding numbers within 20 is as easy as counting balloons with this colorful and simple worksheet. Kindergarten.

More examples on statement problem solving on addition: 8. In a game Mary had the best score. She made 8 in her first turn, 6 in her second and 5 in her third. What was her total score? Number of score Mary had in her first turn = 8 Number of score in her second turn = 5 Number of score in her third turn = 7

Simple addition word problems. These third grade math worksheets have word problems on simple addition. The focus here is on solving real life situations by using addition. Worksheet #1 Worksheet #2 Worksheet #3 Worksheet #4 Worksheet #5. Worksheet #6 Worksheet #7 Worksheet #8.

Addition Word Problem Worksheets. The addition word problem worksheets presented here involve performing addition operations with regrouping and without regrouping. Our extensive and well-researched word problem worksheets feature real-life scenarios that involve single-digit addition, two-digit addition, three-digit addition, and addition of ...

For example, the addition of 6 and 5 can be written as 6+5 the sum or result of adding those numbers is 11. As many times as required, the plus sign ('+') will be used. Addition Word Problems Example 1: Sony had 10 chocolates. His friend gave him 6 more chocolates. How many chocolates in all did Sony have? Solution: In the given question,

Solution: Step 1: Find the total cost of the computer and the printer. 1709 + 280 = 1989 The total cost of the computer and the printer is $1989. Step 2: Find the total cost of the 3 items. 1989 + 190 = 2179 The total cost of the 3 items is $2179. Example: Lily saved $1620. Poly saved $1923 more than Lily. How much did they save altogether?

Problem Solving Examples for Recent Grads/Entry Level Job Seekers Coordinating work between team members in a class project Reassigning a missing team member's work to other group members in a class project Adjusting your workflow on a project to accommodate a tight deadline

This type of word problem uses the part-whole model. Because the whole is missing, this is an addition problem. Example: Mr. Gray sold 64 drinks in the morning. Mr. Frank sold 25 drinks at night. How many drinks did they sell altogether? Show Video Lesson How to solve addition problem using part-whole model? Example: Maya had some stamps.

What is a good example of problem-solving for interview? A time when a candidate overcame a tight budget is a terrific illustration of problem-solving in action that they might use in a job interview. Even outside of accounting, finding innovative solutions to financial issues is always desired.

Addition. Addition is the process of adding two or more items together. Addition in Maths is the method of calculating the sum of two or more numbers. It is a primary arithmetic operation that is used commonly in our day-to-day life. One of the most common uses of addition is when we work with money, calculate our grocery bills, or calculate time.

This resource is your jolt of creativity. It provides examples and templates of math word problems for 1st to 8th grade classes. There are 120 examples in total. The list of examples is supplemented by tips to create engaging and challenging math word problems.

We begin by solving the equation a + c = 10 for a. We get a = 10 - c after subtracting the c from both sides. Now, we can substitute a = 10 - c into the second equation, the 3 c + 5 a = 44. We...

Solution: k − 5 = 15. The addition property of equality states that we should add the same number to both sides of an equation. To solve for k, we need to isolate the variable (keep only k on the left side and move the other terms on the right side). Add 5 to the left side of the equation. k − 5 + 5 = 15 + 5.

For example, students may need a way to figure out what 7 × 8 is or have previously memorized the answer before you give them a word problem that involves finding the answer to 7 × 8. There are a number of strategies used in solving math word problems; if you don't have a favorite, try the Math-Drills.com problem-solving strategy:

Some key problem-solving skills include: Active listening Analysis Research Creativity Communication Decision-making Team-building Problem-solving skills are important in every career at every level. As a result, effective problem-solving may also require industry or job-specific technical skills.

The first thing to do when you encounter a math problem is to look for clue words. This is one of the most important skills you can develop. If you begin to solve problems by looking for clue words, you will find that those words often indicate an operation. Common clue words for addition problems: Sum. Total.

Addition and subtraction using common denominator Example 1: ( 1 6 + 2 5 ) We apply the method of equivalent fractions. For this we need a common denominator, or a common multiple of the two denominators 6 and 5, that is, 30. 1 6 + 2 5 = ( 5 30 + 12 30 ) [Rewrite 1 6 as 1 × 5 6 × 5 = 5 30 and 2 5 as 2 × 6 5 × 6 = 12 30] = 5 + 12 30 = 17 30

We write 1 down and carry the 1 over to the 2 + 0 so that we are adding an additional 1 to this spot. So 2 + 0 becomes 2 + 1 and we get 3. Because we passed the decimal point, we make sure we ...

Word problems are no different. Even if you have struggled with word problems in the past, you have acquired many new math skills that will help you succeed now! Use a Problem-Solving Strategy for Word Problems. In earlier chapters, you translated word phrases into algebraic expressions, using some basic mathematical vocabulary and symbols.

These examples of addition and subtraction word problems and solutions will illustrate how to use the block diagrams (Singapore Math) method and tape diagrams (Common Core Math) to solve word problems. Go to Math Word Problems for more examples. How to use bar models to solve addition and subtraction word problems? The Toyota car factory makes ...

Problem solving worksheets and online activities. Free interactive exercises to practice online or download as pdf to print. ... Problem solving in addition and subtraction Grade/level: 3 by Iswiyanto: Problem solving Grade/level: Grade 2 by Dreamboy181988: Word Problem Addition Grade/level: kg. 3 by serendra_shea: Look for Patterns problem ...

Generally speaking, problem solving skills stem from experience whereby individuals who have solved many problems in an environment of urgency and constraints eventually gets good at it. The following are examples of problems solving skills. A/B Testing. Abductive Reasoning. Agent of Change. Big Picture Thinking. Brainstorming. Business Analysis.

Examples on Decimal Subtraction. Let us understand the concept more clearly with the help of the following examples: Example 1: Subtraction: 7.304 - 1.15 Example 2: Subtraction 4.1 - 0.94. Practice Questions. Try solving the following practice problems to get a thorough understanding of the addition and subtraction of decimal numbers.

This escape room challenges students to practice math skills in a fun way! Students solve escape room challenges throughout the game and as each lock is unlocked they get one step closer to solving the Boom Learning Cards - Escape Room!A wide range of skills are practiced, including:- problem-solving- critical thinking- addition- currency / money- written problems.Great for group and ...