Exponents Decimals

What is 3 cubed written with an exponent?

Answer explanation

A cube is 3-dimensional, so the exponent is 3!

How many zeros are in the standard form of 10¹¹?

• 9

• 10

• 11

• 110

Answer explanation

As the base is 10, the exponent shows how many zeros in the product!

10¹¹ = 100,000,000,000

11 zeros!

Write the number in standard form:

10⁴

• 10 x 10 x 10 x 10

• 10,000

• 10⁴

• 1 x 10⁴

Answer explanation

Standard form is the number as most people would write it (with spaces or commas for periods).

That's why it's called standard!

Write the population of China in expanded form:

1,451,493,054

• 1 x 10⁹ + 4 x 10⁸ + 5 x 10⁷ + 1 x 10⁶ + 4 x 10⁵ + 9 x 10⁴ + 3 x 10³ + 5 x 10¹ + 4 x 10⁰

• 1 x 10⁹ + 4 x 10⁸ + 5 x 10⁷ + 1 x 10⁶ + 4 x 10⁵ + 9 x 10⁴ + 3 x 10³ + 5 x 10² + 4 x 10⁰

• 1 x 10⁹ + 4 x 10⁸ + 5 x 10⁷ + 1 x 10⁶ + 4 x 10⁵ + 9 x 10⁴ + 3 x 10³ + 5 x 10² + 4 x 10¹

• 1 x 10⁹ + 4 x 10⁸ + 5 x 10⁷ + 1 x 10⁶ + 4 x 10⁵ + 9 x 10⁴ + 3 x 10³ + 0 x 10² + 5 x 10¹ + 4 x 10⁰

Answer explanation

Don't include places with a factor of 0!

Write the number as a multiplication equation:

10⁴

• 10 x 10 x 10 x 10

• 10,000

• 10⁴

• 1 x 10⁴

Answer explanation

List out all of the products! Four tens, all multiplied together!

.5 x 10² =

• .5

• .05

• 50

• .005

.736 x 10² =

• 7.36

• .736

• 73.6

• 736

3.21 x 10¹=

• .321

• 32.1

• 321

• 3.21

10³ =

• 30

• 1000

• 3000

• 10,000

10⁵

• 50

• 100,000

• 150

• 10,000