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Scientific Notation Word Problems
100

Simplify 34 x 35

What is 39?

100

Simplify 

5^4/5^3

What is 5

100

Simplify (34)2

What is 38

100

Simplify 

(2^4/3^2)^2

What is 

2^8/3^4

100

Convert 2,340

What is 2.34 x 103

100

Convert 3.9 x 10-5

What is 0.000039

100

Mr. Griffin’s class is studying the solar system. The circumference of the Earth at the equator is about 24,900 miles. Express this number in scientific notation.


What is 2.49 x 104

200

Simplify 43 x 4 x 47

What is 411

200

Simplify 

(6^5 * 8^4)/(6 * 8^2

What is 64 * 82

200

Simplify (4 * 5)2

What is 202 or 400

200

Simplify 

((4^5 * 3^2)/(4^3 * 3))^3

What is 46 * 33

200

Convert 0.000295

What is 2.95 x 10-4

200

Convert 5.6 x 104

What is 56,000

200

A speck of dust in an electron microscope is 1.2 × 102 millimeters wide. The image is 5×102 times larger than the actual size. How many millimeters wide is the actual speck of dust?


What is 6 x 104 or 60,000

300

Simplify 54 x 8-2 x 5-1 x 84

What is 53 x 82

300

Simplify 

(2^5 * 2^4)/(2 * 2^3)

What is 25

300

Simplify (23 * 44)3

What is 29 * 412

300

Simplify (43 * 52 * 74)2 * 53 *72

What is 46 * 57 * 710

300

Convert 2,090,400,000

What is 2.0904 x 109

300

Convert 8.334 x 10-6

What is 8334,000

300

The state of Colorado covers about 1.04 × 105 square miles. The Indian Ocean covers about 2.808 × 107 square miles. How many times bigger than Colorado is the Indian Ocean?


What is 2.7 x 102 or 270

400

Simplify 7-3 x 52 x 75 x 50

What is 72 x 52

400

Simplify 

(3^7 * 4^8)/(3^4 * 4^5)

What is 33 * 43

400

Simplify (3-3 * 5-2)-2

What is 36 * 54

400

Simplify 

((2^3 *3^2)^3 *3)/(2^4 * 3^5

What is 25 * 32

400

Divide 

(4.8 x 10^7)/(1.2 x 10^4)

What is 4 x 103

400

Multiply (2.3 x 105)(4.3 x 104)

What is 2.89 x 109

400

The population of the United State is 3×108 and the population of the world is 7×109 . How many times larger is the population of the world than the U.S.?


What is 2.3 x 101 or 230

500

Evaluate 42 x 32 x 42 x 3

What is 6912

500

Evaluate 

(2^4 * 2^3 * 2)/(2^6)

What is 4

500

Evaluate (23 * 22)2 * 23

What is 256

500

Evaluate 

(3^-3 * 4^2)^2/(3^-3 * 4)^3

What is 108

500

Divide 

(8.25 x 10^5)(1.2 x 10^3)

What is 6.87 x 102

500

Multiply (5.6 x 104)(7.8 x 106)

What is 4.36 x 1012

500

If light travels 6.71×108 miles in one hour. How many miles will it travel in 1 minute?


What is 4.026 x 1010

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