Understanding the Distributive Property

In this video, Mr. J explains the distributive property of multiplication through four example problems. The distributive property helps in breaking down complex multiplication into simpler parts, enhancing mental math skills and number sense. Each problem demonstrates how to decompose numbers and apply multiplication to smaller, more manageable parts, making it easier to solve mentally.

What is the main benefit of using the distributive property in multiplication?

• It helps in solving addition problems.

• It makes division easier.

• It improves mental math and multiplication skills.

• It is only useful for subtraction.

How can the number 16 be broken down using the distributive property?

• 8 + 8

• 10 + 6

• 15 + 1

• 12 + 4

What is the result of 16 times 3 using the distributive property?

• 48

• 42

• 36

• 54

When breaking down 47 for multiplication, what two numbers are used?

• 30 and 17

• 40 and 7

• 20 and 27

• 45 and 2

What is the product of 47 times 5 using the distributive property?

• 245

• 235

• 225

• 255

How is the number 38 broken down in the distributive property example?

• 30 and 8

• 35 and 3

• 20 and 18

• 25 and 13

What is the result of 38 times 6 using the distributive property?

• 218

• 248

• 228

• 238

In the example of 512 times 4, what is the first step in using the distributive property?

• Subtract 12 from 500

• Multiply 500 by 4

• Add 500 and 12

• Multiply 12 by 4

What is the final result of 512 times 4 using the distributive property?

• 2048

• 2348

• 2248

• 2148

What is the purpose of breaking numbers apart in the distributive property?

• To make the problem harder

• To use smaller, known facts for easier calculation

• To increase the number of steps

• To avoid multiplication