Grade 7 · Math

7th grade Powers of fractions and negative numbers worksheet

6 printable versionsOn Level10 questions · answer keyFree · no account

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

Powers of fractions and negative numbers

Grade 7 Math Worksheet

NameDate

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

Esme finds a power in a math book. What is (4/5)²?
Jun checks a power on a card, and the card looks smug. What is (2/3)⁴?
Kira tries a power with an improper fraction. What is (5/2)²?
Luz squares a fraction for a puzzle. What is (3/7)²?
Noah multiplies a negative number by itself. What is (−7)²?
Tala sees −6² with no bracket on a quiz. What is −6²?
Zee reads −3⁴ with no bracket on a quiz. What is −3⁴?
Ari spots −10² with no bracket on a quiz. What is −10²?
Esme folds a paper in half 4 times. Each layer is (1/2)⁴ of the sheet. What fraction is that?
Jun's lemonade gets 3/10 as strong with each water refill, and it is refilled 2 times, so it is (3/10)² as strong. What fraction is that?

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.

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records