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4. Ali multiplies 3 numbers using the expression \( a \times(b \times c) \) and \( (a \times b) \times c \). What property of multiplication does Ali use?

Ask by Mills Murphy. in the United States
Feb 27,2025

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Answer

Ali uses the associative property of multiplication.

Solution

Ali is using the associative property of multiplication. This property states that when multiplying three numbers, the way in which the numbers are grouped (i.e., the placement of the parentheses) does not change the product. In other words, a × (b × c) is equal to (a × b) × c.

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Ali is using the associative property of multiplication, which states that the way in which numbers are grouped in a multiplication problem does not affect the product. So whether he calculates \( a \times(b \times c) \) or \( (a \times b) \times c \), he gets the same result! In mathematics, the associative property allows for more flexibility in calculations. This means if Ali has numbers that are super tricky to multiply, he can group them differently to make the math easier! For example, if \( a = 2, b = 3, \) and \( c = 4 \), he could rearrange the operation to \( a \times c \) first for a quicker solution.

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