Multiplication and Place Value Concepts

This lesson teaches how to multiply multiples of ten by breaking them into two factors. It explains the concept of place value and the commutative property of multiplication. The lesson outlines a three-step method: breaking apart the multiple of ten, multiplying the single-digit factors, and then multiplying by ten. Example problems are provided to illustrate the method, and the lesson concludes with a summary of the key points.

What is a multiple of ten?

• A number that is always odd

• A number that is always even

• A number that is the product of ten and another number

• A number that can be divided by ten without a remainder

How can the number twenty be broken down into factors?

• 1 x 20

• 2 x 10 or 4 x 5

• 5 x 4 or 10 x 2

• 3 x 7

What does the place value chart help us understand?

• How to subtract numbers

• How to add numbers

• How to divide numbers

• How to represent numbers in terms of tens and ones

What does the commutative property of multiplication state?

• The order of division does not change the quotient

• The order of addition does not change the sum

• The order of multiplication does not change the product

• The order of subtraction does not change the difference

How can three times five be represented?

• Both A and B

• As an array of five rows of three

• Neither A nor B

• As an array of three rows of five

What is the first step in the three-step method for multiplying multiples of ten?

• Subtract the numbers

• Multiply by ten

• Add the numbers

• Break apart the multiple of ten

In the three-step method, what do you do after breaking apart the multiple of ten?

• Divide the two single-digit factors

• Add the two single-digit factors

• Subtract the two single-digit factors

• Multiply the two single-digit factors

How is 48 times 10 represented using base 10 blocks?

• As 48 tens

• As 48 ones

• As 480 ones

• As 480 tens

What is the result of multiplying 36 by 10?

• 36

• 360

• 3.6

• 3600

How can 70 times 8 be solved using the three-step method?

• Break 70 into 7 and 10, multiply 7 by 8, then multiply by 10

• Break 70 into 7 and 10, multiply 7 by 10, then multiply by 8

• Break 70 into 8 and 10, multiply 8 by 7, then multiply by 10

• Break 70 into 8 and 10, multiply 8 by 10, then multiply by 7