Which property: 4(2 + 5) = 4 × 2 + 4 × 5

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

Step by step

Question: which property is this: 4(2 + 5) = 4 × 2 + 4 × 5?

4(2 + 5) = 4 × 2 + 4 × 5

Look at both sides.

The number outside multiplies each part.

the number outside multiplies each part

So it is the distributive property.

= distributive property

Let's check: work out both sides.

The left side is 28.

The right side is 28.

Both the same.

So the answer is right!

4(2 + 5) = 28, 4 × 2 + 4 × 5 = 28

Let's look back.

First: compare the two sides.

Last: check.

Answer

= distributive property

Try this one yourself, then check:

Which property is this: 2(3 + 8) = 2 × 3 + 2 × 8

Show the answer

distributive property