Exploring the Distributive Property of Multiplication

This video is the second in a series on the distributive property. It explains how to use place value to break apart numbers for multiplication, using the example of six groups of 13. The video demonstrates this concept with place value blocks, showing how to calculate partial products and sum them to find the total. It also covers how to represent this process algebraically using parentheses, reinforcing the concept of the distributive property.

What is the main focus of this video?

• Understanding fractions

• Exploring addition and subtraction

• Using place value to break apart numbers when multiplying

• Learning about division

How is the number 13 represented in its expanded form?

• 1 + 3

• 10 + 3

• 13 + 0

• 3 + 10

What is the product of 6 times 10?

• 600

• 16

• 6

• 60

How many groups of 3 are needed to represent 6 groups of 3?

• 3

• 6

• 9

• 18

What is the product of 6 times 3?

• 21

• 18

• 12

• 9

What do we call the two parts obtained from breaking down the multiplication problem?

• Partial differences

• Partial products

• Partial sums

• Partial quotients

What is the sum of 60 and 18?

• 98

• 68

• 78

• 88

What symbol is used to indicate that two expressions are the same?

• Plus sign

• Minus sign

• Equal sign

• Multiplication sign

What do parentheses indicate in the algebraic representation?

• Addition should be done first

• Subtraction should be done first

• Multiplication should be done first

• Division should be done first

What is the final algebraic expression for 6 groups of 13?

• 6 * (10 + 3) = 60 * 18

• 6 * (10 + 3) = 60 - 18

• 6 * (10 + 3) = 60 + 18

• 6 * (10 + 3) = 60 / 18