Operations of Scientific Notation Review

Scientific Notation

100

Is the following expression written in scientific notation? If not, rewrite the expression.

3.25 + 10^-7

No, 3.25 x 10^-7

200

The size of the Sahara desert is about 3.629x10⁶ square miles and the Arabian desert is about 9x10⁵ square miles. Which desert is larger? Explain how you know.

Sarah desert, because it has a larger exponent on the power on 10.

300

The size of three oceans in square km is shown below. List the oceans from smallest to largest.

Pacific Ocean: 1.796x10⁸

Arctic Ocean: 1.323x10⁷

Atlantic Ocean:1.061x108

Arctic, Atlantic, Pacific

400

Write this number in scientific notation.

93,000,000

9.3x10⁷

500

Write this number in scientific notation.

0.000000302

3.2x10^-7

Adding

100

Solve the expression

(3.7x10⁹) + (9.04x10⁹)

1.274 x 10¹⁰

200

Solve

(4.5x10⁴) + (1.75x10⁴)

6.25 x 10⁴

300

Solve

(5.4x10³) + (1.2x10⁵)

1.254 x 10⁵

400

The population of the United States is 3.1x10⁸ and the population of Canada is 3.38x10⁷. What is the total population of both countries?

3.438 x 10⁸

500

Solve

(3.2x10^-2) + (2.8x10^-2) + (3.2x10^-4)

6.032 x 10^-2

Subtracting

100

Solve the expression

(7x10⁵) - (5.2x10⁴)

6.48 x 10⁵

200

Solve

(2x10⁴) - (4x10²)

1.96 x 10⁴

300

Solve

(2.005x10⁵) - (8.664x10²)

1.996336 x 10⁵

400

The population of the United States is 3.1x10⁸ and the population of Canada is 3.38x10⁷. How many more people live in the United States than in Canada?

2.762 x 10⁸

500

Solve 

(5.2x10⁴) - (4.6x10⁴) - (1.5x10²)

5.85 x 10³

Multiplying

100

Solve the expression

(4x10^-5)(5x10¹²)

2 x 10⁸

200

Solve

(6x10³)(2x10⁵)

1.2 x 10⁹

300

Solve

(5.1x10⁴)(2.5x10³)

1.275 x 10⁸

400

Solve

(1.25x10⁴)(4x10⁴)

5 x 10⁸

500

Light travels at a speed of 1.86x10⁵ miles per second. It takes light from the Sun about 4.8x10³ seconds to reach Saturn. Find the approximate distance from the Sun to Saturn.

8.928 x 10⁸

Dividing

100

Solve the expression

(5.3x10⁶) ÷ (4.2x10⁴)

1.26 x 10²

200

Solve

(9x10⁸) ÷ (2x10²)

4.5 x 10⁶

300

Solve

(3.66x10^-5) ÷ (2x10^-2)

1.83 x 10^-2

400

Solve

(4.5x10²⁸) ÷ (3x10¹⁵)

1.5 x 10¹³

500

When the Sun makes an orbit around the center of the Milky Way, it travels 2.025x10¹⁷ kilometers. The orbit takes 225,000,000 years. At what rate does the Sun travel?

9 x 10⁵ kilometers per year