Which property of addition is shown? 7 + (3 + 5) = (7 + 3) + 5 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 to Addition Properties: Compare the equation to the properties of addition. The associative property allows us to change the grouping of the numbers that are being added without changing the sum. This property is shown here as the grouping of numbers changes but their sum remains the same. Verify by Simplifying: Verify the property by simplifying both sides. 7 + (3 + 5) simplifies to 7 + 8 = 15. (7 + 3) + 5 simplifies to 10 + 5 = 15. Both sides equal 15, confirming the property used is associative.

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Which property of addition is shown? $\newline$ $7 + (3 + 5) = (7 + 3) + 5$ $\newline$ Choices: $\newline$ (A)associative $\newline$ (B)commutative

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Math Problems

Grade 7

Properties of addition and multiplication

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Q. Which property of addition is shown?

\newline

7 + (3 + 5) = (7 + 3) + 5

\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 to Addition Properties: Compare the equation to the properties of addition. $\newline$ The associative property allows us to change the grouping of the numbers that are being added without changing the sum. This property is shown here as the grouping of numbers changes but their sum remains the same.
Verify by Simplifying: Verify the property by simplifying both sides. $\newline$ $7 + (3 + 5)$ simplifies to $7 + 8 = 15$ . $\newline$ $(7 + 3) + 5$ simplifies to $10 + 5 = 15$ . $\newline$ Both sides equal $15$ , confirming the property used is associative.