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(8 x 3) x 6 = 8 x (3 x 6) is a true statement. Which multiplication property is this an example of?

User Soumick Dasgupta
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2 Answers

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19 votes

Answer:

Explanation:

It's called The Associative Property of Multiplication

(a * b) * c = a * (b * c)

User Prankin
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7 votes
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Answer:

Associative property

Explanation:

Multiplication properties are different statements that are always true. These statements help prove that different operations can be performed on equations and still remain equal.

Associative Property

The associative property states that (a x b) x c = a x (b x c). This means that in any equation where only multiplication is present, the parentheses can be moved and the equation remains equal.

Other Examples

The associative property is always true; this means that we can create other examples.

Let's take the expression 4 x (2 x 9). As the property states, we can move the parentheses and create the new expression (4 x 2) x 9. Now we can set these expressions equal to each other.

  • 4 x (2 x 9) = (4 x 2) x 9

Due to the property we know that this equation must be true.

We can prove this property by working out each side of the equation. If we multiple both sides out we are left with 72 = 72. Since this is true the equation above must also be true.

User Mahesh Babu
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