The associative feature of multiplication asserts that the order in which the numbers in a multiplication equation are grouped has no bearing on or changes the product of those numbers. In other words, regardless matter how three or more integers are organized, the product remains the same.
What is the Associative Property of Multiplication?
According to the associative property of multiplication, if three or more numbers are multiplied, we get the same result irrespective of how the three numbers are grouped. Here, grouping means how the brackets are placed in the given multiplication expression.
Solution:
The expression on the left-hand side shows that 6 and a missing number are grouped, whereas the expression on the right-hand side groups 11 and 6 together. However, when we finally multiply all the numbers, the resultant product is the same.
Answers & Comments
Verified answer
Answer:
The missing number is 8.
Step-by-step explanation:
Associative Property of Multiplication
What is the Associative Property of Multiplication?
Solution:
The expression on the left-hand side shows that 6 and a missing number are grouped, whereas the expression on the right-hand side groups 11 and 6 together. However, when we finally multiply all the numbers, the resultant product is the same.
11 · ( 6 · __ ) = ( 11 · 6 ) · 8
11 · ( 6 · x ) = ( 11 · 6 ) · 8
11 · 6x = 66 · 8
66x = 528
Divide both sides of the equation by 66.
x = 8
Checking:
Let’s substitute the value of x.
11 · ( 6 · __ ) = ( 11 · 6 ) · 8
11 · ( 6 · 8 ) = ( 11 · 6 ) · 8
11 · (48) = (66) · 8
528 = 528
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