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Word Problems
100

Convert to standard notation: 4.7 X 104

47,000

100

Convert to scientific notation: 234000

2.34 X 105

100

Which is bigger? 45,000 or 

4.5*10^3

45,000

100

(8.18 × 10-6)(1.15 × 10-5)

9.407 x 10-11 

100

(8.4 x 108)/(4.2 x 104)

2 x 104 

100

The population of Crowded Town is 4 × 106 and the population of Empty Village is 8 × 103.  How many times the population of Empty Village is Crowded Town?

Multiply or Divide?

Divide

200

Convert to standard notation: 8.923 X 10-2

0.08923

200

Convert to scientific notation: 25,360

2.536 X 104

200

Which is smaller? 9,000,000 or 

9*10^9

9,000,000

200

(9.2 x 105) x (4 x 10-3)

3.68 x 103 

200

(7.8 x 104)/(8.0 x 101)

9.75 x 102 

200

The population of Crowded Town is 4 × 106 and the population of Empty Village is 8 × 103.  How many times the population of Empty Village is Crowded Town?

Set it up

( 8 × 103)/4 × 106

300

Convert to standard notation: 987 X 105

98,700,000

300

Convert to scientific notation: 0.034

3.4 X 10-2

300

Which is smaller? 700 or 

7*10^3

700

300

(1.9 x 108)(5.8 x 10-8)

1.102x101

300

(5.2 x 101)/(1.5 x 104)

3.46 x 10-3

300

When the Sun makes an orbit around the center of the Milky Way, it travels 2.025 x 1014 kilometers. The orbit takes 225 million years. At what rate does the Sun travel? 

Multiply or Divide

Divide

400

Convert to standard notation: 3 X 106

3,000,000

400

Convert to scientific notation: 734,239

7.34239 X 105

400

Which is larger? 89,000 or 

8.9*10^4

Equal to each other

400

(8.3 x 10-2)(6.7 x 100)

5.561x10-3

400

(9.7 x 10-5)/(1.1 x 10-5)

8.81 x 100

400

When the Sun makes an orbit around the center of the Milky Way, it travels 2.025 x 1014 kilometers. The orbit takes 225 million years. At what rate does the Sun travel?

Set it up 

(2.025 x 1014)/(2.25x108)

500

Convert to standard notation: 342.5 X 10-5

0.003425

500

Convert to scientific notation: 0.0000003

3.0 X 10-7

500

Which is equal?

6.7*10^3 = 67,000

OR

5.4*10^4 = 54,000

5.4*10^4 = 54,000

500

2.54 x 10-4 x 1,000,000

2.54 x 102

500

(9.5 x 1010)/1,100,000


8.63 x 104

500

Solve:  Light travels at a speed of 1.86 x 105 miles per second. It takes light from the Sun about 4.8 x 103 seconds to reach Saturn. Find the approximate distance from the Sun to Saturn. 

8.928 x 108 miles