The Associative Property refers to the way in which numbers are grouped in addition or multiplication. It states that the grouping of numbers does not change their sum or product.
Looking at the options provided:
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(5⋅8)+3: This expression involves multiplication and addition, but it can't be rewritten using the associative property because it has different operations.
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(9⋅5)+8+3: This expression involves addition and multiplication. Although you can change the grouping of the addition (for example, (9⋅5)+(8+3)), this is not a pure associative property application with multiplication.
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(9⋅5)⋅(8⋅3): This expression uses multiplication, but it is not suitable for the associative property as the association of multiplication doesn't apply directly to two distinct products expecting a different result.
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(5+8)⋅3: This expression can be rewritten using the associative property since it involves addition and then multiplication; you could regroup the addition part, for example, (5 + 8) * 3 equals 13 * 3, but it doesn't change the operation itself.
Given these analyses, the best choice that can directly use the Associative Property is:
(5+8)⋅3.
1 answer