Multiplying by Powers of 10
Dividing by Powers of 10
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<, =, or >
Word Problems
100

4.56 x 103

What is 4,560?

100

12 / 101?

What is 1.2?
100

Round 354.2 to the nearest hundred

What is 400?

100

>,<, or =?

25 hundredths   ___    2.5 

(Must show work on place value chart or white board)

2.05 is less than 2.5

100

The average rainfall in Michigan is listed below:
Concord: .97 meters
Hanover: .947  meters
Jackson: 1.5 meters
Albion: 1.268 meters

Put measurements in order from least to greatest.

What is .947, .97,. 1.268, 1.5?

200

.95  x 104

What is 9,500?

200

821.8 / 102 =

What is 8.218?
200

Round 1.269 to the nearest hundredth.

What is 1.27?

200

>,<, or =?

4.1  ____  4.02

(Must show work on place value chart or white board)

4.1 is greater than 4.02

200

The average rainfall in Michigan is listed below:
Concord: .97 meters
Hanover: .947  meters
Jackson: 1.5 meters
Albion: 1.268 meters

Round each measurement to the nearest tenth.

What is:
Concord: 1.0 m
Hanover: .9 m
Jackson: 1.5 m
Albion: 1.3 m 

300

Fill in the blank with the correct power of 10:

2.33 x 10? =   23.3

What is 101?

300

5833 / 103 =

What is 5.833?

300

Round 2.352 to the nearest tenth.

What is 2.4?

300

>,<, or =?

3 tens  4 tenths 8 thousandths ____  3 x 10 + 4 x .1 + 8 x .001

(Must show work on place value chart or white board)


(Must show work on place value chart or white board)

What is equal to?

300

Imagine Albion's rainfall remains the same for 100 years.  How much rain will fall over 100 years? 


Albion: 1.268 meters

What is 126.8 meters?

400

Multliply 5.55 by 103.  Explain the shift of the digits and the change in the value of each digit.

When multiplying by 103, each digit shifts 3 places to the left.  103 equals 10 x 10 x 10, or 1,000, so each digit becomes 1,000 times larger.  

 5.55 x 103 = 5,550

400

Divide 46,507 by 103.  Explain the shift of the digits and the change in the value of each digit. 

When dividing by 103, each digit shifts 3 places to the right.  103 equals 10 x 10 x 10 or 1000, so each digit becomes one thousandth less. 

46,507 / 1000 = 46.507

400

Round .499 to the nearest 1

What is 0?

400

3 xx 1/(10) + 4 xx 1/(1000) ---- 30.004

.304 is less than 30.004

400

A root beer factory produces 134,384 cases in 100 days.  About how many cases does the factory produce in 1 day?  Round answer to the nearest tenth of a case.  

What is 1,343.8 cases per day?

500

Multiply   9.99 x 104.  

Explain the shift of the digits and how that changes the value of each digit.

When multiplying by 104, each number shifts 4 places to the left.  104 equals 10 x 10 x 10 x 10 or 10,000, so each number becomes 10,000 times larger.    9.99 x 10,000 = 99,900

500

Divide 77,700 by 102.  Explain the shift of the digits and the change in the value of each digit.

When dividing by 102, each digit shifts to the right 2 places.  10equals 10 x 10, or 100. Therefore, each digit becomes one hundredth as large. 

77,700 / by 100 = 777

500

Round 3.395 to the nearest hundredth on a vertical number line.

What is 3.40?

500

5 x 10+ 4 x 102 + 3 x .1   _____  50 hundreds 40 tens  3 hundredths

5400.3  is greater than 5400.03

500

Write an equation with exponents that would express Albion's rainfall over 100 years.

Albion's rainfall for 1 year: 1.268 meters

What is 1.268m x 102=126.8 m?