Which equation shows the identity property of multiplication? Choices: (A)5 · (8 · 6) = (5 · 8) · 6 (B)(9 · 4) · 2 = 9 · (4 · 2) (C)1 · 3 = 3 (D)6 · 9 = 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6

Understand Identity Property: Step 1: Understand the identity property of multiplication, which states that any number multiplied by 1 remains unchanged, i.e., a * 1 = a. Examine Choices: Step 2: Examine each choice to see which one fits the identity property: (A) 5 · (8 · 6) = (5 · 8) · 6 - This shows the associative property, not the identity property. (B) (9 · 4) · 2 = 9 · (4 · 2) - This also shows the associative property. (C) 1 · 3 = 3 - This fits the identity property because multiplying 3 by 1 gives 3, unchanged. (D) 6 · 9 = 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 - This is an example of repeated addition, not multiplication properties.

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Which equation shows the identity property of multiplication? $\newline$ Choices: $\newline$ (A) $5 \cdot (8 \cdot 6) = (5 \cdot 8) \cdot 6$ $\newline$ (B) $(9 \cdot 4) \cdot 2 = 9 \cdot (4 \cdot 2)$ $\newline$ (C) $1 \cdot 3 = 3$ $\newline$ (D) $6 \cdot 9 = 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6$

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Math Problems

Grade 6

Properties of multiplication

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Q. Which equation shows the identity property of multiplication?

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Choices:

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(A)

5 \cdot (8 \cdot 6) = (5 \cdot 8) \cdot 6

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(B)

(9 \cdot 4) \cdot 2 = 9 \cdot (4 \cdot 2)

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(C)

1 \cdot 3 = 3

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(D)

6 \cdot 9 = 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6

Understand Identity Property: Step $1$ : Understand the identity property of multiplication, which states that any number multiplied by $1$ remains unchanged, i.e., $a \times 1 = a$ .
Examine Choices: Step $2$ : Examine each choice to see which one fits the identity property: $\newline$ (A) $5 \cdot (8 \cdot 6) = (5 \cdot 8) \cdot 6$ - This shows the associative property, not the identity property. $\newline$ (B) $(9 \cdot 4) \cdot 2 = 9 \cdot (4 \cdot 2)$ - This also shows the associative property. $\newline$ (C) $1 \cdot 3 = 3$ - This fits the identity property because multiplying $3$ by $1$ gives $3$ , unchanged. $\newline$ (D) $6 \cdot 9 = 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6$ - This is an example of repeated addition, not multiplication properties.