Add and Subtract with Scientific Notation

What is the ONLY thing that matters when adding and subtracting numbers in scientific notation?

• That the exponents are different

• That the constants are the same

• That the exponents are the same

• That both constants are positive

Add the scientific notation:

(6.2 x 10²) + (9.7 x 10⁰)

• .6297 x 10²

• 6.297 x 10⁰

• 6.297 x 10³

• 6.297 x 10²

Subtract the scientific notation.

(3 x 10³) - (2.9 x 10²)

• 2.71 x 10⁵

• 2.71 x 10³

• 2.71 x 10⁶

• 2.71 x 10⁴

Add with scientific notation.

(5.2 x 10⁷) + (3.01 x 10⁴)

• 5.20301 x 10¹¹

• .520301 x 10⁷

• 5.20301 x 10⁷

• 5.20301 x 10⁸

In 2012, NYC’s population was about 8.1 × 10⁶ and Los Angeles' population was about 3.8 × 10⁶. What is the population of these two cities combined?

*THE FIRST FACTOR HAS TO BE BETWEEN 1 - 9.9

• 1.19 x 10^-7

• 1.19 x 10⁷

• 11.9 x 10⁶

• 1.19 x 10⁶

Find the combined mass of Earth and Venus. Earth is approximately 5.9 x 10²⁴ kg and Venus is approximately 4.9 x 10²² kg.

• Add

• Subtract

• Multiply

• Divide

When adding and subtracting in scientific notation, what do you do with the constants?

• Make them the same

• Add/subtract them

• Keep them

• Multiply/divide them

Add.

(2 x 10³) + (5 x 10⁵)

• 7 x 10²

• 10 x 10¹⁵

• 5.02 x 10⁵

• 1.0 x 10²

There are approximately 3.1 x 10⁸ people in the United States. If each person has 4.1 x 10¹ coins, how many coins are there altogether?

• 271 x 10¹⁰

• 271 x 10⁹

• 271 x 10¹¹

• 271 x 10⁸

By area, Russia is the largest country in the world. It has an area of 8.649 x 10⁶ square miles. Canada is second with 4.797 x 10⁶ square miles. What is the difference in area?

• 3.852 x 10⁶ square miles

• 3.852 x 10⁰ square miles

• 1.803 x 10⁶ square miles

• 1.803 x 10¹ square miles