Grade 6 · Math

6th grade Exponents and order of operations worksheet

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Exponents and order of operations

Grade 6 Math Worksheet - Challenge Me

NameDate

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

Esme climbs a ladder of problems. What is 6 + 2 × 3^3?
Jun goes for the crown with a decimal problem. What is 2.5 + 4 × 2^2?
Kira solves this one before sunset. What is 80 − 4 × 2^3?
Milo beats a robot to the answer. What is 20.5 − 3 × 2^2?
Noah opens a gift with a tricky puzzle inside. What is (2 + 4)^2?
Pia sets up a tent and finds a puzzle on the flap. What is (3 + 4)^2?
Milo jots a decimal clue on paper. What is 2 × 1.5^2?
Noah drums a beat while solving this decimal clue. What is 4 × 2.5^2?
Pia strums a guitar between clues. What is 10.5 − 2.5 ÷ 2?
Tala tunes a violin and tackles this clue. What is 6.3 ÷ 3 × 2?

6th grade Exponents and order of operations worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Exponents and order of operations. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can say what 3^4 means and work it out (3 × 3 × 3 × 3 = 81).
I can do the power first, then multiplying and dividing, then adding and subtracting.
I can use parentheses to say which part to work out first.

Standard: 6.EE.A.1, 6.EE.A.2c

Words to know

power: A number multiplied by itself several times, such as 3^4.

base: The number that is multiplied by itself. In 3^4 the base is 3.

exponent: The small raised number. It says how many copies of the base to multiply.

order of operations: The agreed order: parentheses, then powers, then × and ÷ from left to right, then + and − from left to right.

parentheses: Marks ( ) round a part that must be worked out first.

Common mistakes

Your child multiplied the big number by the small raised number (3^4 as 3 × 4). Try asking "how many 3s are multiplied together?" and write 3 × 3 × 3 × 3 together.

Your child added or subtracted first when a times or divide sign came after it (2 + 3 × 4 as 5 × 4, or 15 − 2 × 3 as 13 × 3). Try asking "which part is being multiplied or divided?" and work that part out first.

Your child did the times before the divide in a problem like 48 ÷ 6 × 2. Try reading it out loud from left to right: "48 divided by 6, then times 2."

Questions parents ask

What is the most common mistake with exponents and order of operations?

Your child multiplied the big number by the small raised number (3^4 as 3 × 4). Try asking "how many 3s are multiplied together?" and write 3 × 3 × 3 × 3 together.

Are these 6th 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.

More grade 6 math

See all grade 6 math

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