Which property of addition is shown? 7 + (6 + 2) = (7 + 6) + 2 Choices: (A)associative (B)commutative

Identify Structure: Identify the structure of the equation. The equation shows a number added to a grouped addition on one side and a different grouping of addition on the other side; Compare Properties: Compare the equation to addition properties. The associative property allows us to change the grouping of addition without changing the result. This matches our equation where (6 + 2) is grouped together first, and then (7 + 6) is grouped on the other side; Verify by Simplifying: Verify by simplifying both sides. Left Side: 7 + (6 + 2) = 7 + 8 = 15, Right Side: (7 + 6) + 2 = 13 + 2 = 15, Both sides equal 15, confirming the property used is associative;

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which property of addition is shown? $\newline$ $7 + (6 + 2) = (7 + 6) + 2$ $\newline$ Choices: $\newline$ (A)associative $\newline$ (B)commutative

View step-by-step help

Home

Math Problems

Grade 7

Properties of addition and multiplication

Full solution

Q. Which property of addition is shown?

\newline

7 + (6 + 2) = (7 + 6) + 2

\newline

Choices:

\newline

(A)associative

\newline

(B)commutative

Identify Structure: Identify the structure of the equation. $\newline$ The equation shows a number added to a grouped addition on one side and a different grouping of addition on the other side;
Compare Properties: Compare the equation to addition properties. $\newline$ The associative property allows us to change the grouping of addition without changing the result. This matches our equation where $(6 + 2)$ is grouped together first, and then $(7 + 6)$ is grouped on the other side;
Verify by Simplifying: Verify by simplifying both sides. $\newline$ Left Side: $7 + (6 + 2) = 7 + 8 = 15$ , $\newline$ Right Side: $(7 + 6) + 2 = 13 + 2 = 15$ , $\newline$ Both sides equal $15$ , confirming the property used is associative;