Strategies
Word Problems
Properties
100

Ben used an array of counters to represent how many donuts he bought. Complete the multiplication equations.  

5 x 3 = ____

3 x ___ = 15

5 x 3 = 15

3 x = 15

100

Fatima bought 7 cups for a total of $49. How much did each cup cost? 

$7

100

3 x 4 = 4 x ___

This is the _______ property. 

a. commutative
b. associative
c. distributive
d. identity

3 x 4 = 4 x 3

This is the commutative property. 

200

What equation does this array show? 

3 x 6 = 18

200

Marty buys 6 packages of apple slices for her class. Each package contains 4 slices. 


How many slices does Marty buy in all? 

If there are 25 students in her class, will she have enough apple slices for everyone? 

She buys 24 slices in all. 

No, she will not have enough for her class. The number of apple slices is less than 25. 

200

3 x 8 = 3 x (4 + __) = (3 x 4) + (__ x __) = ____ + ____ = ____

3 x 8 = 3 x (4 + 4) = (3 x 4) + (3 x 4) = 12+ 12 = 24

300

What multiplication expression can be used to solve 3 + 3 + 3 + 3? 

3 x 4

300

Each packet of salt has 2 grams of salt. 

How many grams will the following have? 

3 packets will have _____ grams of salt
4 packets will have _____ grams of salt
6 packets will have ______ grams of salt
8 packets will have _______ grams of salt


Each packet of salt has 2 grams of salt. 

How many grams will the following have? 

3 packets will have 6 grams of salt
4 packets will have 8 grams of salt
6 packets will have 12 grams of salt
8 packets will have 16 grams of salt

300

Kai says that 5 ÷ 0 and 0 ÷ 5 are both 0. 

1. What is 0 ÷ 5? 

2. Is Hachi correct? 

a. Yes, you can divide by 0.

b. No, you cannot divide by 1.

c. No, you cannot divide by 0. 

d. Yes, you can divide a number by 1. 

1. 0 ÷ 5 = 0

2. c. No, you cannot divide by 0. 

400
Fill in the blanks to show 3 x 7 in different ways. 


Repeated addition: 7 + __ + __ = 21

Skip counting: __, __, __

Multiplication: __ x 7 = 21

Repeated addition: 7 + 7 + 7= 21

Skip counting: 7, 14, 21

Multiplication: 3 x 7 = 21

400

One box of books costs $10 and has 5 books in it. Liza has $25. How many boxes can she buy? How many books will there be? 

a. 5 boxes, 5 books
b. 5 boxes, 25 books
c. 2 boxes, 5 books
d. 2 boxes, 10 books

One box of books costs $10 and has 5 books in it. Liza has $25. How many boxes can she buy? How many books will there be? 


d. 2 boxes, 10 books

400

Use the array and known facts to find 7 × 5. Enter your answers in the boxes.




2 x 5 = ____

5 x 5 = ____

10 + _____ = _____

So, 7 x 5 = _____

2 x 5 = 10

5 x 5 = 25

10 + 25 = 35

So, 7 x 5 = 35

500

Lidia writes the following. 

16 - 2 = 14
14 - 2 = 12
12 - 2 = 10
10 - 2 = 8
8 - 2 = 6
6 - 2 = 4
4 - 2 = 2
2 - 2 = 0


What problem is she trying to solve? 

a. 16 - 2

b. 16 - 16

c. 16  ÷ 2

d. 16  ÷ 16 

c. 16  ÷ 2

500

Heba splits 18 erasers into 3 stacks. 

Alejandro splits 32 erasers into 8 stacks. 

How many coins are in each stack? 

Heba: 18 ÷ 3 = ____

Alejandro: 32 ÷  8 = ____

Who has more erasers per stack? 

a. 6 > 4, so Heba has more. 

b. 6 < 4, so Alejandro has more. 

c. 18 < 32, so Alejandro has more. 

d. 18 > 32, so Heba has more. 

Heba: 18 ÷ 3 = 6

Alejandro: 32 ÷  8 = 4


a. 6 > 4, so Heba has more. 

500

A large array was broken into two smaller arrays, 5 x 4 and 5 x 6. What was the larger array? 

a. 10 x 6
b. 10 x 10
c. 5 x 10
d. 10 x 6 


Which property does this use? 

a. commutative
b. associative
c. distributive
d. identity

c. 5 x 10

c. distributive 

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