IXL | Powers of ten with negative exponents

Which of the following are equivalent to

Select all that apply.

200

ref_doc_title.

Learn with an example

question

Which of the following are equivalent to

Select all that apply.

–

key idea

A power of ten with a negative exponent can be written as a fraction. The numerator is 1, and the denominator is a power of ten with a positive exponent. For example,

–

You can also write powers of ten with negative exponents in several other equivalent ways. For example, you can write

–

in all of these ways:

–

100

0.01

solution

You were given

The numerator of this fraction is 1, and the denominator is a power of ten with a positive exponent. So, you can write

as a power of ten with a negative exponent:

–

Here are several equivalent ways to write

–

100,000

0.00001

So, these answer choices are equivalent to

1
10
10
10
10
10
10
–
5

The other answer choices are not equivalent to

–
10
5
is a negative number, but
1
10
5
is positive.
10
5
5
5
5
5
is not a power of ten, but
1
10
5
is.

Looking for more? Try these:

Lesson: Properties of exponents

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Teacher tools

Work it out

Not feeling ready yet? These can help:

C.8Evaluate powers with negative or zero exponents

X.6Convert fractions and mixed numbers to decimals - denominators of 10 and 100

Lesson: Properties of exponents

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!