Multiplication with Multiples of 10

Vocab

100

Each digit in a number has a ___________.

Hint: ones, tens, or hundreds

place value

200

_____________ of 10 ALWAYS have a 0 in the ones place.

Multiples

300

To exchange amounts of equal value to rename a number is called _______________.

regrouping

400

To multiply a sum by a number by multiplying each addend by the number and adding the products.

The Distributive Property

500

The __________________ states that when the grouping of the factors is changed, the product remains the same.

Associative Property

Using the Distributive Property

100

Using multiples of 10 and the Distributive Property to solve this equation:

5x60=

Some examples include:

5x60= 5x(10+10+10+10+10+10)

5x60=5x(30+30)

5x60= 60+60+60+60+60+60

5x60=300

200

Using multiples of 10 and the Distributive Property to solve this equation:

7x40

Some examples include:

7x40= 40+40+40+40+40+40+40

7x40= 7x(40+40+40+40+40+40+40)

7x40= 7(20+20)

7x40=280

300

Michael is decorating his swimming pool wall that has 6 rows of 30 tiles.

Complete this equation to find the total number of tiles he will need to use:

6x_____= _____ x (10+10+____)

6x30= 6x(10+10+10)

6x30=180 tiles

400

Solve this equation:

8x40= (_____x____) + (_____x_____) + (______x____) + (_____x____)

8x40= ____ +_____ +_____ +_____

8x40=

8x40= (8x10)+(8x10)+(8x10)+(8x10)

8x40= 80+80+80+80

8x40=320

500

Create your own word problem and solve it using the Distributive Property of Multiplication.

Answers will vary.

Ex: Our teacher has 4 packs of pencils. Each pack has 20 pencils. How many pencils does she in all of the packs? 4x20=80 pencils.

Using the Associative Property

100

Use the Associative Property to write and solve this equation: (remember to use a multiple of 10)

2x40

2x(4x10)

(2x4)x10

2x40=80

200

Use the Associative Property to write and solve this equation: (remember to use a multiple of 10)

60x3

(6x10)x3

6x(10x3)

60x3=180

300

Use the Associative Property to write and solve this equation:

70x5

(7x10)x5

7x(10x5)

70x5=350

400

2x50= ____x ( ____x____)

2x50=(____x____)x____

2x50=

2x50= 2x(5x10)

2x50=(2x5)x10

2x50=100

500

Wanda finds 3x80 by using 3x(8+10). Is she correct? Explain.

No. She should be suing 3x(8x10) which equals 240.

Use Place-Value Strategies with Multiples of 10

100

How many groups of 10 are in 80?

8 tens

200

How many groups of 10 are in 370?

37 tens

300

Use place value to find the number of tens then find the product.

7x60= 7x ____ tens

7x60=____tens

7x60=

7x60= 7x 6 tens

7x60= 42 tens

7x60= 420

400

Use place value to find the number of tens then find the product.

8x80=____ x _____ tens

8x80= _____ tens

8x80=

8x80= 8x 8 tens

8x80= 64 tens

8x80= 640

500

Sam finds the product of 4x30 and Leah finds the product of 50x4. Sam says his product has a greater number of tens than Leah's. Is he correct? Explain and tell me how many tens each person has.

No he's not correct.

Sam has 12 tens and Leah has 20 tens.

Multiply Multiples of 10 by 1-Digit numbers

100

Solve:

5x30= ___tens

5x30= ___ hundred ____ tens

5x30=

5x30= 15 tens

5x30= 1 hundred 5 tens

5x30= 150

200

Solve:

6x40= ___tens

6x40= ___ hundreds ____ tens

6x40=

6x40= 24 tens

6x40= 2 hundreds 4 tens

6x40= 240

300

Draw me a visual of 5x30 and solve.

Remember that a line represents 10 and you can draw a box around 100.

There should be 5 groups of 30. There should be one box drawn around 100.

5x30=150

400

Solve

8x30 and 6x40

Do they have the same product?

Yes they both equal 240.

500

Vickie has 10 bags of marbles. Each bag holds 9 marbles. How many marbles does Omar have?

___ marbles.

If Vickie wants to have 110 total marbles, how many more does she need?

9 marbles.

20 more marbles.