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Word Problems
Exponent Rules
100

Express the following number in scientific notation. 14,100,000

1.41 X 10^7

100

Write answer in scientific notation (2 X 10^3)(3 x 10^4)

6 x 10^7

100

write the answer in scientific notation. (3 x 10^8)+(2 x 10^8)

5 x 10^8

100

One atom has a diameter of 3 x 10^-8 cm. What is the diameter of 2 atoms side by side?

6 x 10^-8 meters

100

Simplify:

(7^3)x(7^5)x(7^-2)

7^6

200

Express the following number in scientific notation. 0.00026

2.6 X 10^-4

200

Write answer in scientific notation (2 x 10^4)(5 x 10^5)

1 x 10^10

200

write the answer in scientific notation. (7 x 10^9)+(5 x 10^9)

1.2x10^10

200

India has the largest population of any country in the world with 1.4 x 10^10 people. The USA has the third largest population with 3.3 x 10^7. How many times more people live in India than the USA? Write your answer in scientific notation.

4.24 x 10^2

200

Simplify 

(13^-6) / (13^-11)

13^5
300

Express the following numbers in scientific notation. 

56 million

5.6 X 10^7

300

Write answer in scientific notation (24 x 10^7)÷(8 x 10^3)

3 x 10^4

300

(3 × 10^4) + (7 × 10^2)

3.07 x 10^4

300

The speed of light is 3 x 10^8 m/s. If the sun is 1.5 x  10^11 meters from earth, how many seconds does it take light to reach the earth?

5 x 10^2 seconds

300

Simplify

(5^8 x 5^9) / (5^-3)^-9

5^-10

400

Express the following number in scientific notation. 3654.65 X 10^-2

3.65465 X 10^1

400

Write answer in scientific notation (3.2 x 10^2)÷(8 x 10^5)

4 x 10^-4

400

write the answer in scientific notation. (5 × 10^-5) – (2 × 10^-8)

4.998 × 10^-5

400

Lake Superior is approximately 25 times the volume of Lake Erie. If the volume of Lake Superior is approximately 1.22 x 10^4 km cubed, what is the approximate volume of Lake Erie?

The approximate volume of Lake erie is 4.88 x 10^2 km cubed.

400

Fill in the missing exponent to make the expression equal 8^-3

(1/8^7) x (1/8^?)

-4

500

Express the following numbers in scientific notation. 0.000000054 X 10^6

5.4 X 10^-2

500

Light travels at approximately 1.86 x 10^5 mi/sec. How far does light travel in one hour? write your answer in scientific notation.

6.696 x 10^8 mi/hr

500

The sun is 9.3 x 10^7 miles away from earth. The moon is 2.4 x 10^5 miles away. How much farther is the sun than the moon?

9.276 × 10^7 miles

500

India has the largest population of any country in the world with 1.4 x 10^10 people. The USA has the third largest population with 3.3 x 10^7. How many more people live in India than the USA? Express your answer in scientific notation.

1.397 x 10^10 more people

500

Simplify: 

[(9^-3)^5 x 9^7] / (9^-5 x 9^9)

9^-12

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