Which equation shows the zero property of multiplication? Choices: (A)j · (k + m) = j · k + j · m (B)k · j = j · k (C)(j · k) · m = j · (k · m) (D)0 = 0 · j

Zero Property Explanation: Understand the zero property of multiplication. The zero property of multiplication states that any number multiplied by zero is zero. The mathematical representation of this property is a * 0 = 0 or 0 * a = 0, where 'a' can be any real number.Analyze Choices: Analyze each choice to see which one represents the zero property of multiplication. (A) j · (k + m) = j · k + j · m - This is the distributive property, not the zero property.Distributive Property: Continue analyzing the choices. (B) k · j = j · k - This is the commutative property of multiplication, not the zero property.Commutative Property: Continue analyzing the choices. (C) (j · k) · m = j · (k · m) - This is the associative property of multiplication, not the zero property.Associative Property: Continue analyzing the choices. (D) 0 = 0 · j - This choice shows that zero multiplied by any number 'j' is zero, which is a direct representation of the zero property of multiplication.

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Which equation shows the zero property of multiplication? $\newline$ Choices: $\newline$ (A) $j \cdot (k + m) = j \cdot k + j \cdot m$ $\newline$ (B) $k \cdot j = j \cdot k$ $\newline$ (C) $(j \cdot k) \cdot m = j \cdot (k \cdot m)$ $\newline$ (D) $0 = 0 \cdot j$

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Math Problems

Grade 6

Properties of multiplication

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Q. Which equation shows the zero property of multiplication?

\newline

Choices:

\newline

(A)

j \cdot (k + m) = j \cdot k + j \cdot m

\newline

(B)

k \cdot j = j \cdot k

\newline

(C)

(j \cdot k) \cdot m = j \cdot (k \cdot m)

\newline

(D)

0 = 0 \cdot j

Zero Property Explanation: Understand the zero property of multiplication. The zero property of multiplication states that any number multiplied by zero is zero. The mathematical representation of this property is $a \times 0 = 0$ or $0 \times a = 0$ , where ' $a$ ' can be any real number.
Analyze Choices: Analyze each choice to see which one represents the zero property of multiplication. (A) $j \cdot (k + m) = j \cdot k + j \cdot m$ - This is the distributive property, not the zero property.
Distributive Property: Continue analyzing the choices. $\newline$ (B) $k \cdot j = j \cdot k$ - This is the commutative property of multiplication, not the zero property.
Commutative Property: Continue analyzing the choices. $\newline$ (C) j \cdot k) \cdot m = j \cdot (k \cdot m)\ - This is the associative property of multiplication, not the zero property.
Associative Property: Continue analyzing the choices.\(\newline(D) $0 = 0 \cdot j$ - This choice shows that zero multiplied by any number ' $j$ ' is zero, which is a direct representation of the zero property of multiplication.