Which property of multiplication is shown? (6 · 4) · 9 = 6 · (4 · 9) Choices: (A)identity (B)distributive (C)commutative (D)associative

Analyze Equation Grouping: Step 1: Analyze the equation to see how the numbers are grouped. In the equation (6 · 4) · 9 = 6 · (4 · 9), the grouping of numbers changes but the overall multiplication remains the same. Compare to Multiplication Properties: Step 2: Compare the equation to the properties of multiplication. The associative property states that the way in which factors are grouped in a multiplication does not change the product, i.e., (a · b) · c = a · (b · c). Match Property to Equation: Step 3: Match the property to the equation. Since the equation (6 · 4) · 9 = 6 · (4 · 9) changes only the grouping of numbers and not the numbers themselves or their order, it demonstrates the associative property.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which property of multiplication is shown? $\newline$ $(6 \cdot 4) \cdot 9 = 6 \cdot (4 \cdot 9)$ $\newline$ Choices: $\newline$ (A) identity $\newline$ (B) distributive $\newline$ (C) commutative $\newline$ (D) associative

View step-by-step help

Home

Math Problems

Grade 6

Properties of multiplication

Full solution

Q. Which property of multiplication is shown?

\newline

(6 \cdot 4) \cdot 9 = 6 \cdot (4 \cdot 9)

\newline

Choices:

\newline

(A) identity

\newline

(B) distributive

\newline

\newline

(D) associative

Analyze Equation Grouping: Step $1$ : Analyze the equation to see how the numbers are grouped. In the equation $(6 \cdot 4) \cdot 9 = 6 \cdot (4 \cdot 9)$ , the grouping of numbers changes but the overall multiplication remains the same.
Compare to Multiplication Properties: Step $2$ : Compare the equation to the properties of multiplication. The associative property states that the way in which factors are grouped in a multiplication does not change the product, i.e., $(a \cdot b) \cdot c = a \cdot (b \cdot c)$ .
Match Property to Equation: Step $3$ : Match the property to the equation. $\newline$ Since the equation $(6 \cdot 4) \cdot 9 = 6 \cdot (4 \cdot 9)$ changes only the grouping of numbers and not the numbers themselves or their order, it demonstrates the associative property.