Yay! Decimals!
Problems with Decimals
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100

What direction do you shift if you multiply by a power of ten (whole number). 

Left 

100

Multiply: 

0.5 x 0.03 = 

0.015

100

True or False: 

Multiplying by 0.1 is the same as dividing by 10? 

True 

100

What direction do you shift when you multiply by a decimal?

Right

200

6.4 x 1,000 = 

6,400

200

Explain a similarity between multiplying 0.2 by 10 and 0.2 by 0.1. 

In each equation the product will shift by one place value. 

200

Fill in the blanks:

3 x 0.05 = ___ x 5 x ____

3 x 5 x 0.01

200

567 x 45 =

25,515

300

0.7 x 10^2 =

70

300

Which of the following equal 64? 

A. 6.4 x 10^1              D. 6.4 x 10^3

B. 0.64 x 10^2            E. 64 x 10 

C. 64 x 10^1               F. 64 x 1

B

F

300

Solve by using the box method: 

52 x 21 

1,092

300

Write the rules for how you solve multiplication problems. 

1. Get rid of the decimals and solve as whole numbers. 

2. Figure out your product. 

3. Count the number of place values after the decimal in your factors. 

4. Add decimal in the appropriate place. 

400

Break apart the following: 

400 x 0.05 = _____ x____x_____x_____
                    _____ x _____
                    _____

4x100x5x0.01

2000x0.01

20

400

Estimate to nearest tenth and solve: 

0.87 x 0.6

Solve for the exact answer: 

0.87 x 0.6 

0.9 x 0.6 = 0.54 

0.87 x 0.6 = 0.522

400

Hannah Ann says that the product of 80 x 50 should have two zeros. Madison says the product should have three zeros. Who is correct? Explain why. 

Madison is correct. 

400

83.4 x 8.31 =

693.054

500

Peter buys 4 mangos for 7 days. Each mango cost $1.26. How much does spend on mango for the week? 

$35.28


500

Place the following in order from least to greatest. 

32 x 1                         32 x 10^3        

32 x 10^2                  32 x 0.01   

0.32 x 10^1                3.2 x 10^2      

32 x 0.01 ; 0.32 x 10^1 ; 32 x 1 ; 3.2 x 10^2 ;   

32 x 10^2  ; 32 x 10^3

500

Fill in the blank (use exponents when necessary): 

0.72 x ___ = 720 

72 x 10^3 = ____

0.72 x ___ = 7.2 


0.72 x 10^3 = 720

72 x 10^3 = 72,000

0.72 x 10^1 = 7.2

500

Victoria buys 5 pizzas for her 10 friends. Each pizza costs $8.35. How much money does she spend on pizza? 

$41.75