Multiplication Properties
Mental Math and Exponents
Distributive Property
Multiplying by 1 digit
Multiplying by 2 digit
100

Four bags with 7 apples in each bag is the same amount as 7 bags with 4 apples in each bag. Which property of multiplication does this represent? 

Commutative Property 

100

783 x 10 x 10= 

78,300

100

Use the distributive property to solve the equation

46 x 12=

46 x 12 

        (10 x 2)

(46 x 10) + (46 x 2)

460 + 92 =

     552  


100

873 x 6 

5,238

100

44 x 23 

1,012

200
Which property of multiplication is used in the multiplication below?

 44 x 0 = 0

Zero Property 

200

500 x 80 

40,000

200

Rewrite the expression using the Distributive property then find each product 

101 x 23 

101 (100 x 1)

(100 x 23) + (23 x 1) 

(2,300) + (23)

2,323

200

The average rainfall at Mt. Waialeale in Hawaii is 460 inches per year. How much rain would this location expect to receive in 5 years? 

460 x 5 = 2,300 inches 

200

Mr. Krol spends $24 on parking each week. He works 48 weeks a year. How much does he spend on parking in a year? 

$24 x 48 = $1,152

300

What  number makes the number sentence true? And what property of multiplication is shown?

(4 x 8) x 7 = 4 x (8 x __) 

Associative Property 

300

Dr. Charlie works about 11 hours each day. What is the best estimate of the number of hours he works in 48 days?

11 estimate to 10

48 estimate to 50 

50 x 10 = 50 hours 

300
Rewrite the expression using the Distributive property then find the product 


280 x 45 

280 (200 x 80) x 45

(200 x 45) + (80 x 45)

9,000 + 3,600 = 12,600

300

A farmer wants to build a square pig pen. The length of one side of the pen is 13 ft. How many feet of fencing should the farmer buy? 

square = 4 sides

13 x 4 = 52 feet 

300

157 x 24 

3,768

400

What is the identity property and give an example of it?

When you multiply any number by 1, the product is that number 

check examples 

400

Write fifteen cubed in exponential notation (form), expanded form, and standard form 

15 3

15 x 15 x 15

3,375

400

789 x 6

4,734

400

A banana contains 105 calories. Last week, Noemi and Ariel ate a total of 14 bananas. How many calories does this represent?  

105 x 14 = 1,470 calories