Which property of multiplication is shown? 5 × (1 × 3) = (5 × 1) × 3 Choices: (A)associative (B)commutative

Identify Structure: Identify the structure of the equation and relate it to multiplication properties. In the equation 5 × (1 × 3) = (5 × 1) × 3, we see that the grouping of numbers changes but the order of multiplication remains the same.Check Calculations: Check if the equation holds true by performing the calculations on both sides. Left side: 5 × (1 × 3) = 5 × 3 = 15. Right side: (5 × 1) × 3 = 5 × 3 = 15. Both sides are equal, confirming the equation is correct.Determine Property: Determine which property of multiplication is illustrated. The associative property allows us to change the grouping of numbers in multiplication without changing the product. This property is shown here as the product remains 15 regardless of how the numbers are grouped.

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Which property of multiplication is shown? $\newline$ $5 \times (1 \times 3) = (5 \times 1) \times 3$ $\newline$ 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 multiplication is shown?

\newline

5 \times (1 \times 3) = (5 \times 1) \times 3

\newline

Choices:

\newline

(A)associative

\newline

(B)commutative

Identify Structure: Identify the structure of the equation and relate it to multiplication properties. $\newline$ In the equation $5 \times (1 \times 3) = (5 \times 1) \times 3$ , we see that the grouping of numbers changes but the order of multiplication remains the same.
Check Calculations: Check if the equation holds true by performing the calculations on both sides. $\newline$ Left side: $5 \times (1 \times 3) = 5 \times 3 = 15$ . $\newline$ Right side: $(5 \times 1) \times 3 = 5 \times 3 = 15$ . $\newline$ Both sides are equal, confirming the equation is correct.
Determine Property: Determine which property of multiplication is illustrated. $\newline$ The associative property allows us to change the grouping of numbers in multiplication without changing the product. This property is shown here as the product remains $15$ regardless of how the numbers are grouped.