Understanding the Distributive Property

In this video, Mr. J explains the distributive property of multiplication using four example problems. The distributive property helps break down complex multiplication into simpler parts, enhancing mental math and number sense. Each problem demonstrates how to decompose numbers and apply multiplication to smaller, more manageable components, ultimately simplifying the calculation process.

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

• It helps in solving addition problems.

• It is only useful for large numbers.

• It makes division easier.

• It improves mental math and multiplication skills.

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

• 12 + 4

• 10 + 6

• 8 + 8

• 15 + 1

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

• 36

• 54

• 48

• 42

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

• 40 and 7

• 30 and 17

• 45 and 2

• 50 and -3

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

• 255

• 245

• 235

• 225

How is the number 38 broken down in the third example?

• 30 and 8

• 25 and 13

• 40 and -2

• 35 and 3

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

• 218

• 228

• 238

• 248

In the final example, what is the breakdown of 512?

• 500, 10, and 2

• 400, 100, and 12

• 600, -100, and 12

• 300, 200, and 12

What is the product of 512 times 4 using the distributive property?

• 2248

• 2148

• 2348

• 2048

What is the key concept of the distributive property?

• Combining numbers into larger groups.

• Using only even numbers for multiplication.

• Avoiding multiplication altogether.

• Breaking numbers into smaller, more manageable parts.