Which equation shows the identity property of multiplication? Choices: (A)(p + q) · r = p · r + q · r (B)p = p · 1 (C)p + r = p · q (D)q · p = p · q

Understand Identity Property: Understand the identity property of multiplication. The identity property of multiplication states that any number multiplied by 1 gives the number itself. This means that if we have a number 'p', then p multiplied by 1 should give us 'p'.Analyze Choices: Analyze each choice to see which one represents the identity property of multiplication. (A) (p + q) · r = p · r + q · r - This is the distributive property, not the identity property.Check Remaining Choices: Continue analyzing the choices. (B) p = p · 1 - This choice shows that p multiplied by 1 gives us p, which is exactly the identity property of multiplication.Check the remaining choices for completeness. (C) p + r = p · q - This does not represent any property of multiplication related to the identity property. (D) q · p = p · q - This is the commutative property of multiplication, not the identity property.

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Math Problems

Algebra 1

Properties of addition and multiplication

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Q. Which equation shows the identity property of multiplication?

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Choices:

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(A)

(p + q) \cdot r = p \cdot r + q \cdot r

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(B)

p = p \cdot 1

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(C)

p + r = p \cdot q

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(D)

q \cdot p = p \cdot q

Understand Identity Property: Understand the identity property of multiplication. The identity property of multiplication states that any number multiplied by $1$ gives the number itself. This means that if we have a number ' $p$ ', then $p$ multiplied by $1$ should give us ' $p$ '.
Analyze Choices: Analyze each choice to see which one represents the identity property of multiplication. $\newline$ (A) $(p + q) \cdot r = p \cdot r + q \cdot r$ - This is the distributive property, not the identity property.
Check Remaining Choices: Continue analyzing the choices. $\newline$ (B) $p = p \cdot 1$ - This choice shows that $p$ multiplied by $1$ gives us $p$ , which is exactly the identity property of multiplication.
Check Remaining Choices: Continue analyzing the choices. $\newline$ (B) $p = p \cdot 1$ - This choice shows that $p$ multiplied by $1$ gives us $p$ , which is exactly the identity property of multiplication.Check the remaining choices for completeness. $\newline$ (C) $p + r = p \cdot q$ - This does not represent any property of multiplication related to the identity property. $\newline$ (D) $q \cdot p = p \cdot q$ - This is the commutative property of multiplication, not the identity property.