Chapter 4: Q60. (page 166)

Name the property illustrated by each equation.
60. $7 + (w + 5) = (7 + w) + 5$

Short Answer

Expert verified

The property illustrated by the equation $7 + (w + 5) = (7 + w) + 5$ is associative property of addition.

Step by step solution

- Define associative property of addition

The associative property of addition is if $a + (b + c) = (a + b) = c$ , that is the order in which the numbers are added does not change the sum.

- State an example

Give an example to illustrate the inverse property of multiplication. Let $a = 5$ , $b = 8$ and $c = 2$ , then

$\begin{matrix} 5 + (8 + 2) = 5 + (10) \\ = 15 \\ (5 + 8) + 2 = 13 + 2 \\ = 15 \\ 5 + (8 + 2) = (5 + 8) + 2 \end{matrix}$

- State the conclusion

Since it is given that $7 + (w + 5) = (7 + w) + 5$ , therefore, as per the definition of associative property of addition, the order in which we add doesn’t change the sum, therefore they illustrate associative property of addition.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Name the property illustrated by each equation.
60. $7 + (w + 5) = (7 + w) + 5$

Short Answer

Step by step solution

- Define associative property of addition

- State an example

- State the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Mechanics Maths

Decision Maths

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Name the property illustrated by each equation.60. 7+w+5=7+w+5

Short Answer

Step by step solution

- Define associative property of addition

- State an example

- State the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Mechanics Maths

Decision Maths

Applied Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Name the property illustrated by each equation.
60. $7 + (w + 5) = (7 + w) + 5$