Grade 7 · Math

7th grade Powers of fractions and negative numbers worksheet

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Powers of fractions and negative numbers

Grade 7 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

Kira cubes a negative fraction for a puzzle. What is (−2/3)³?
Luz checks a negative fraction on a card. What is (−1/4)³?
Noah squares a negative fraction for a quiz. What is (−5/6)²?
4.
(−3)² and −3². Pia compares two powers that look almost the same. Which statement is true?
- (−3)² is greater
- −3² is greater
- They are equal, as the bracket makes no difference
5.
(−5)³ and −5³. Tala compares two powers, and the pencil suspects a trick. Which statement is true?
- (−5)³ is greater
- −5³ is greater
- They are equal
6.
(−4)³ and −4³. Zee compares one more pair of powers. Which statement is true?
- They are equal
- −4³ is greater
- (−4)³ is greater
Ari adds two powers for a puzzle. What is (2/3)² + (−1/3)³?
Bo adds a negative power and a positive power. What is (−2)³ + 3²?
Jun subtracts a negative power. What is 5 − (−2)³?
10.
Luz wants an expression that equals 16. Which one works?
- (−2)⁴
- −2⁴
- (−2)³
- 2³

Powers of fractions and negative numbers. Every version has 10 questions, and the answer key prints on the second page.

I can write (3/4)² as the strip 3/4 × 3/4 and work out 9/16.
I can tell the sign of (−2)⁷ by counting the negative factors, and work out (−4)³ = −64.
I can tell −3² (which is −9) from (−3)² (which is 9).

Standard: state-only (CCSS 6.EE.A.1 is whole-number exponents; 8.EE.A.1 integer exponents)

power: A number used as a factor again and again: (−2)³ = (−2) × (−2) × (−2).

base: The number being multiplied. In (3/4)² the base is the whole fraction 3/4.

exponent: The small raised number. It counts the squares in the strip.

strip: A row of equal squares, each holding the base, multiplied together.

bracket: A bracket around a negative base puts the minus sign inside the power.

Your child multiplied the base by the exponent.

Your child raised only the top number of the fraction to the power.

Your child raised only the bottom number of the fraction to the power.

Ask: how many copies of the base are in the strip, and what do you do with them?

Ask: what does the bottom number do when the whole fraction is the base?

Ask: what does the top number do when the whole fraction is the base?

What is the most common mistake with powers of fractions and negative numbers?

Your child multiplied the base by the exponent.

How can I help my child with powers of fractions and negative numbers?

Ask: how many copies of the base are in the strip, and what do you do with them?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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