Multiplying Whole Numbers

Multiplication Properties

100

• _____________________________ tells us that the product of any number and zero is zero.

Zero Property

200

• _____________________________ tells us that the product of any number and one is that number.

Identity Property

300

• When you change the order of the factors, the product stays the same according to the _______________________________.

Commutative Property

400

• 2 x (3 x 4) will get the same product as (2 x 3) x 4. The________________________ says you can group factors in different ways and still get the same product.

Associative Property

500

• The _____________________________ tells us that we can multiply a sum by a number and get the same product as multiplying each addend by the number and then adding the products. 
• For example: 6 x 7 = (3 x 7) + (3 x 7)

Distributive Property

Exponential/Expanded

100

• Write the following in exponential form:

Six cubed ___________

6³

200

• Write the following in exponential form:
• Eight raised to the fifth power ________

8⁵

300

Write the following in expanded form

7³

7 x 7 x 7

400

Write the following in expanded form and standard form:

4³

Expanded: 4 x 4 x 4

Standard: 64

500

Write the following in exponential form:

6 x 6 x 6 x 6 x 6

200 Bonus points: (any and all groups will get the bonus points for a correct answer)

What is the standard form for the above problem?

6⁵

Bonus points:

7,776

Multiply Multi-digit #s

100

16 x 7

112

200

375 x 6

2,250

300

500 x 23

11,500

400

367 x 45

16,515

500

756 x 98

74,088

Word Problems

100

When Max counted his money from his piggy bank he found that he has 38 ten dollar bills. How much money does he have?

$380

200

Emily and her three friends went to a school dance. They each had to pay $15 to get into the dance. How much money did they pay in all?

$60

300

Frank was asked to multiply 364 x 12 on his math test. He said that the answer is 1,092. Explain why you agree or disagree with Frank's answer. 

(Show image of Frank's work)

I disagree with Frank because he made a simple math mistake. Frank forgot to do the first step of adding the zero in the second partial product.

He should have 4,368 as an answer.

400

Mrs. Neidner decided to buy lunch for her class. She needs to get 4 large pizzas, 10 orders of bread sticks, and a case of water. How much did she spend on the lunch?

$16 - Large Pizza

$3 - Bread Sticks      $12 - Case of Water

$106

500

Peg decided to go to a concert in the park with her friends. She wanted to surprise her friends and pay for everyone to get a ticket and snacks. How much did Peg need to pay for her and her 4 friends to get tickets and snacks?

$8 - Concert Tickets           $3 - Snacks      

$55

Random Math

100

2,000 x 60

120,000

200

863 x 91

78,533

300

Name three of the multiplication properties?

Identity

Zero

Associative

Commutative

Distributive

400

1705 x 39

66,495

500

563 x 123

69,249