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Which property: (5 × 2) × 3 = 5 × (2 × 3)

Step by step, with the reason for every step · Number properties for mental math · Foundations

Step by step

The question

Question: which property is this: (5 × 2) × 3 = 5(2 × 3)?

(5 × 2) × 3 = 5(2 × 3)

1 Compare the two sides

Look at both sides.

The brackets moved.

the brackets moved

So it is the associative property of multiplication.

= associative property of multiplication

2 Check

Let's check: work out both sides.

The left side is 30.

The right side is 30.

Both the same.

So the answer is right!

(5 × 2) × 3 = 30, 5(2 × 3) = 30

Let's look back.

First: compare the two sides.

Last: check.

Answer
= associative property of multiplication

Your turn

Try this one yourself, then check:

Which property is this: (6 × 3) × 9 = 6(3 × 9)
Show the answer
associative property of multiplication

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