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Course: 3rd grade (Eureka Math/EngageNY)>Unit 1

Lesson 6: Topic F: Distributive property and problem solving using units of 2–5 and 10

Distributive property when multiplying

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

Want to join the conversation?

• 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'm learning times table, I need to memorize them fast, how do I memorize them fast?
• Use strategies if you forget some of them.
Example of a strategy: many kids are good with 5's and 2's but have trouble with 7's. Using the fact that 5+2 = 7 helps here. For the problem 7x8, think "7 groups of 8 is 5 groups of 8 plus 2 groups of 8. So you can do 5x8 = 40, 2x8 = 16, and then add 40+16 = 56. So 7x8 = 56.

Also look for patterns. For example, the 9's have an easy pattern. For 9x1 all the way through 9x10, the tens digit is one less than the number being multiplied by 9, and the units and tens digits add to 9. So for 9x6, the tens digit is 6-1=5, and the units digit is 4 because 5+4 = 9. So 9x6 = 54.

This is not the only strategy and pattern. You might even try to come up with some strategies and patterns of your own.

Have a blessed, wonderful day!
• how do we do distributive property in multiplying, i don't understand?? Such a 7x4
• Using the distributive property can help you figure out multiplication facts that you forget.

For example, if you remember your 2’s and 5’s but forget your 7’s, you can use this property to help you figure out your 7’s (because 2 + 5 = 7).

For example:
7x4 = (5+2)x4 = (5x4)+(2x4) = 20+8 = 28.
The idea is that 7 fours equals 5 fours plus 2 fours.

Have a blessed, wonderful day!
• another day of angry cats and a bunch on multipacation.
• Why is the cat angry?
• I love cats if you love cats vote
• why won't it let me watch the video?
• honestly I don't know
• mini quiz
1. 2 x 3 =
2. 8 x 1 =
3. 4 x 4 =
4. 7 x 2 =
5. 8 x 4 =
6. 4 x 6 =
7. 6 x 7 =
8. 9 x 9 =
9. 10 x 2 =
10. 5 x 3 =
• 1. 6
2. 8
3. 16
4. 14
5. 32
6. 24
7. 42
8. 81
9. 20
10. 15