Unit 4 Test Review

Powers of 10

100

Question 1

Classify each product as equal to 43, 430, or 4,300:

• A. 43 x 10²

• B. 43 x 10¹

• C. 4.3 x10²

• D. 0.43 x10²

• E. 4.3 x10¹

• F. 4.3 x10³

• 43 D, E

• 430 B, C

• 4,300 A, F

200

Question 9

Select ALL expressions equivalent to 8 x 10 x 10 x 10:   

• A) 8 x10²

• B) 80 x 10²

• C) 8 x 10³

• D) 8 x (3x10)

• E) 800 x 10¹

• F) 8 x100

B (80 x 100=8,000)

C 8x10³=8,000

300

Question 14 a-c

 Choose the correct power of 10 (10¹, 10², or 10³) for each:   

1. 0.76 x __ = 760

      

2. 0.76 x __= 76

      

3. 0.76 x __ = 7.6

1. 10³

2. 10²

3. 10¹

400

Question 19

"When you multiply by 100, each digit shifts to the _______ by _______."

left, two places 

500

Question 15

 Describe how the digits shift when you multiply any number by 0.1

The digits shift one place value to the right (making the number 1/10$ of its original value)

Properties and Estimating

100

Question 4

Select ALL correct products:   

• A) 300 x 60 = 18,000

     

• B) 30 x 800 = 240

     

• C) 27 x 100 = 2,700

     

• D) 60 x10 = 6,000

A and C

200

Question 6

Fill in the decimal to make the equation true:   

7 x 0.04 = 7 x 4 x ___

0.01

300

Question 3

Choose ONE factor from Column A and ONE factor from Column B that result in a product with exactly three zeros:   

• Column A: 2, 20, 200, 2,000

     

• Column B: 0.4, 4, 40, 400

200 x 40=8,000 

or 

2,000 x 4= 8,000

400

Question 7

Ben says 50 x 60 should have two zeros. Sharlene says it should have three zeros.   

• Part A: Who is correct and what is the product?   

• Part B: How do you know?

Part A: Sharlene is correct; product is $3,000 

Part B: You know because 5 x 6 = 30 (which already ends in a zero), plus two extra zeros from the factors 50 and 60 (10 x 10).

500

Question 8

Order these products from least to greatest:   

500 x 30  |  3 x 50  |  5 x 0.03  |  50 x 0.3  |  300 x 5

1. 5 x 0.03 = 0.15

   

2. 50 x 0.3 = 15

   

3. 3 x 50 = 150

  

4. 300 x 5 = 1,500

   

5. 500 x 30 = 15,000

Whole number word problems

100

Question 10:

An Atlas moth has a wingspan of 11 inches. What is the total wingspan of 26 Atlas moths?

give equation and answer with correct units 

26 x 11= A; A=286 inches

200

Question 22:

 Eve worked as a lifeguard earning $16 per hour. How much does she earn if she works 28 hours?

give equation and answer with units 

28 x $16= E; E=$448

300

Question 12: 

Myra is painting a 76 inch x 22 inch mural. Use the area model method to find the total area. Provide the correct units 

Show area model written and solved corrected on board 

Answer: 1,672 square inches 

400

Question 20

Multiply 7,952 x 8 and explain how you know your answer is reasonable.

Answer: 63,616

Reasonable because 7,952 is rounded to 8,000 and 8 can be rounded to 10. Meaning 8,000 x 8= 64,000

500

Question 2

 Hakeem saves $59 per paycheck. He gets paid 26 times a year. His goal is $1,500. Will he reach his goal? Show an equation.

Equation: 59 x 26=H; H= $1,534

Yes 1,534 is greater than 1,500

decimal multiplication

100

Question 18

 A walkingstick is 2.5 times as long as a praying mantis. If a praying mantis is 10 cm long, how long is the walkingstick?

Provide equation and answer with correct units 

2.5 x 10=w; w=25 cm

200

Question 5

 Select ALL products equal to 260:   

• A) 2.6 x 10²

• B) 26 x 10³

• C) 0.26 x 10³

• D) 2.6 x 10¹

• E) 26 x 10²

A and C

300

Question 21:

Select ALL products that are correct:   

• A) 0.01 x 600 = 60,000

     

• B) 300 x 0.1 = 30

     

• C) 0.01 x 20 = 0.2

     

• D) 90 x 0.1 = 0.9

B and C

400

Question 23:

Mr. Clemente measured 29.7 grams of potassium chloride for each of 7 lab groups. How much did he measure in total?

Provide equation and answer with the correct units

29.7 x 7=C; C= 207.9 grams 

500

Question 17:

Solve and Match Them!

Answers: 0.592, 59.2, 5.74, 55.2, 57.4, 0.552

A) 82 x 0.7 

B) 0.6 x 92

C) 8.2 x 0.7

D) 0.8 x 74

E) 9.2 x 0.06

F) 7.4 x 0.08

A) 57.4

B) 55.2

C) 5.74

D) 59.2

E) 0.552

F) 0.592

multi-step and reasoning

100

Question 11

Jodi's score is 50 points.   

• Part A: Mark's score is 1.5 times Jodi's. What is Mark's score?   

• Part B: Virginia's score is 0.6 times Jodi's. What is Virginia's score? 

Part A: 50 x 1.5= M; M=75 points 

Part B: 50 x 0.6=V; V= 30 points

200

Question 24

When you multiply 24.7 by 0.1, is the answer greater than or less than 24.7? Explain

 Less than. Multiplying by 0.1 is equivalent to finding 1/10 of the number (or dividing by 10), which decreases its value to 2.47

300

Question 13

How is multiplying 0.3 by 10 LIKE multiplying 0.3 by 0.1? How is it DIFFERENT?

LIKE: Both shift the digits of 0.3 by one place value 

DIFFERENT: Multiplying by 10 shifts digits to the left to make a larger number (3), while multiplying by 0.1 shifts digits to the right to make a smaller number (0.03)