Name the property of real numbers illustrated by the equation2·(8·7)=(2·8)·7
associative prop of mult
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its B
The property of real numbers illustrated by the equation 2·(8·7)=(2·8)·7 is the associative property of multiplication.
To understand this property, let's break down the equation:
2·(8·7): This expression demonstrates the associative property by showing the product of 2 multiplied by the result of multiplying 8 and 7. According to the associative property of multiplication, we can change the grouping of numbers being multiplied without changing the outcome. So, whether we first multiply 8 and 7, or multiply 2 by the result of 8 and 7, both ways will yield the same answer.
(2·8)·7: In this expression, we first multiply 2 by 8 and then multiply the result by 7. Again, according to the associative property of multiplication, we can change the grouping of numbers being multiplied without changing the result.
Therefore, the equation 2·(8·7)=(2·8)·7 demonstrates the associative property of multiplication because it shows that no matter how we group the numbers being multiplied, the final result remains the same.