114.1 Exponent & Scientific Notation Review

Standard <->Scientific

100

Convert 1.29 x 10⁸ to standard form.

What is 129,000,000 ?

200

Convert 0.0000054 to scientific notation.

What is 5.4 x 10^-6 ?

300

Earth is approximately 9.3 x 10⁷ miles away from the sun, Neptune is 9.8 x 10⁹ miles away from the sun. How far is Neptune from Earth? (Hint: Draw and label picture)

What is 9,707,000,000 miles or 9.707 x 10⁶? 

400

Convert 5.9201 x 10^-6 to standard form

What is 0.0000059201 ?

500

Fill in the correct unit of measurement: meters, kilometers, centimeters

The circumference of the Earth is 4.0075 x 10⁴ __________.

What is kilometers?

Exponent Rules

100

16⁰

What is 1?

200

4^-2

What is 1/16?

300

5⁷ x 5¹³

What is 5²⁰?

400

3⁷ / 3⁴

What is 3³ = 27?

500

(2^-3)⁴

What is 2^-12 = 1/2¹²

More Exponent Rules

100

(4⁵)²

What is 4¹⁰?

200

2³ * 2²

 What is 2⁵ = 32?

300

7^-9 * 7³ * 7²

What is 7^-4 = 1/7⁴ ?

400

(3^4*6^7)/(3^3*6^6

What is

3^1*6^1=18

?

500

(6³ / 6²)⁴

What is 6⁴ ?

Multiplication/Division

100

(3 x 10⁵)(2 x 10³)

6 x 10⁸

200

(1.3 x 10^-5)(3.4 x 10^-2)

4.42 x 10^-7

300

(6.3 x 10¹³) / (2.1 x 10⁷)

3 x 10⁶

400

(6.3 x 10⁷)(5.2 x 10^-5)

3.276 x 10³

500

(8 x 10^-5)/(4 x 10^-9)

2 x 10⁴

Addition/Subtraction

100

(3.45 x 10³) + (6.11 x 10³)

What is 9.56 x 10³ ?

200

(6.1 x 10^-8) - (3.2 x 10^-8)

What is 2.9 x 10^-8 ?

300

(3 x 10⁵) + (5.45 x 10⁶)

What is 5.75 x 10⁶?

400

(2.3 x 10³) + (6.2 x 10³)

What is 8.5 x 10³ ?

500

(2.3 x 10⁵) - (2.01 x 10⁶)

What is -1.78 x 10⁶ ?