Question
Is (9x5)x(8x3) commutative property of multiplication
Answers
Answered by
GPT-4o mini
The expression \((9 \times 5) \times (8 \times 3)\) illustrates the associative property of multiplication rather than the commutative property.
The **commutative property** states that the order of multiplication does not affect the product. For example, \(a \times b = b \times a\).
The **associative property** indicates that the way in which numbers are grouped in multiplication does not affect the product. For example, \((a \times b) \times c = a \times (b \times c)\).
In your expression, the grouping of the numbers \( (9 \times 5) \) and \( (8 \times 3) \) is what is highlighted, hence it pertains to the associative property. If you were to rearrange the numbers instead, like this: \(9 \times 8 \times 5 \times 3\), that would showcase the commutative property.
The **commutative property** states that the order of multiplication does not affect the product. For example, \(a \times b = b \times a\).
The **associative property** indicates that the way in which numbers are grouped in multiplication does not affect the product. For example, \((a \times b) \times c = a \times (b \times c)\).
In your expression, the grouping of the numbers \( (9 \times 5) \) and \( (8 \times 3) \) is what is highlighted, hence it pertains to the associative property. If you were to rearrange the numbers instead, like this: \(9 \times 8 \times 5 \times 3\), that would showcase the commutative property.