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Lesson 7: Distributive property

# Distributive property when multiplying

Sal uses the distributive property to break up 4x7 into smaller numbers.

## Want to join the conversation?

• why did he meow and why did he say yup there still mad
• because he's trying to act funny, it is pretty funny. - _ -
• what is 7 times 7
• can you use angry cats more often?
• yes we can
• Give this a ton of votes.
• hi can you help me with multipacaitoion
• What is the easiest way to learn my 7 times table? This is very hard.
• Many kids have difficulty with 7’s, but this does not have to be you if you use a strategy.

There are multiple strategies. Here are three of them. These strategies come from the idea that multiplication is the same as counting groups of objects (distributive property).

1) If you’re good with 2’s and 5’s, a possible way to multiply a number by 7 is to multiply it by 2, multiply it by 5, then add the results. This is based on the fact that 2 + 5 = 7.

Example: let’s do 8 x 7.
8 x 2 = 16
8 x 5 = 40
16 + 40 = 56, the answer.

2) If you’re good with 10’s and 3’s, a possible way to multiply a number by 7 is to multiply it by 10, multiply it by 3, then subtract the results. This is based on the fact that 10 - 3 = 7.

Example: let’s do 8 x 7 again.
8 x 10 = 80
8 x 3 = 24
80 - 24 = 56, the answer.

3) lf you’re good with 6’s, a possible way to multiply a number by 7 is to multiply it by 6 and add the original number. This is based on the fact that 6 + 1 = 7.

Example: let’s do 8 x 7 again.
8 x 6 = 48
original number = 8
48 + 8 = 56, the answer.

These are not the only strategies. From looking at the ideas in the three strategies l wrote, you might even come up with your own strategy that you like better.

Have a blessed, wonderful day!
• I got the achivement of seingthis video for an hour omggg :D
• nice
• i need help on a question its 8 x 4 but the first problem you did
• I believe you have the answer already, and this is a year later, but I would just like to say that 8 and 4 are both even numbers. Which, if you watched the video, means that you are able to sperate them evenly. For instance, 4, can be separated by 2. 8 may be separated by 4.