Decomposing Numbers and Distributive Property

This video tutorial teaches how to solve single-digit by multi-digit multiplication problems using the distributive property. It explains the concept of the distributive property, demonstrates its application through examples, and shows how to break down numbers using expanded notation and decomposition. The tutorial uses arrays to illustrate the multiplication process and provides step-by-step examples to reinforce understanding.

What is the primary benefit of using the distributive property in mathematics?

• It makes division easier.

• It simplifies complex arithmetic and algebraic problems.

• It helps in solving equations faster.

• It is used only in geometry.

How can the number 1259 be expressed using expanded notation?

• 1200 + 50 + 9

• 1250 + 9

• 1000 + 250 + 9

• 1000 + 200 + 50 + 9

Which of the following is a correct decomposition of the number 327?

• 300 + 10 + 17

• 200 + 100 + 27

• 200 + 120 + 7

• 300 + 20 + 7

In the array example, how is the number 13 decomposed?

• 8 + 5

• 7 + 6

• 10 + 3

• 10 + 4

What is the result of multiplying 8 by 13 using the distributive property?

• 120

• 104

• 112

• 96

How is the number 24 decomposed to use the distributive property for multiplication?

• 20 + 5

• 15 + 9

• 10 + 14

• 20 + 4

What is the product of 24 times 7 using the distributive property?

• 176

• 154

• 162

• 168

When solving 5704 times 6, which part of the number is ignored due to multiplication by zero?

• Hundreds

• Tens

• Units

• Thousands

What is the result of 5704 times 6 using the distributive property?

• 34224

• 34120

• 34000

• 34500

Which of the following is a step in using the distributive property for multiplication?

• Subtract the smaller number

• Multiply each decomposed part separately

• Divide the number by 2

• Add the numbers first