Grade 7 · Math

7th grade Order of operations with fractions, decimals and negatives worksheet

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Order of operations with fractions, decimals and negatives

Grade 7 Math Worksheet - Challenge Me

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

Tala feeds a number to a puzzle robot. What is 3x² + 4 when x = -4?
Zee plugs a fraction into a rule on a sticky note. What is 8x² + 1 when x = -1/2?
Ari tests a decimal rule beside a drum. What is 4x² − 3 when x = -0.5?
Esme reads a six-step clue (the lamp flickered). What is 20 + (2 − 8)² ÷ 4 − |-4|?
Kira follows a six-step trail through the zoo. What is 9 + (4 − 10)² ÷ 4 + |-5|?
Luz's thermometer starts at -6°F and rises 2.5°F each hour (the snowflake is delighted). After 3 hours, the temperature in °F is -6 + 2.5 × 3. What is that temperature?
Noah starts a game with 8 points and loses 1.5 points for each wrong answer. After 6 wrong answers, the score is 8 + (-1.5) × 6. What is the score?
Pia's freezer starts at -8°F and warms 1.5°F each hour (the ice is nervous). After 4 hours, the temperature in °F is -8 + 1.5 × 4. What is that temperature?
9.
Tala sorts the steps of a power puzzle on a calendar. Which step comes first in 20 − 3 × (6 − 4)²?
- Work out 3 × 6.
- Work out 3 × (6 − 4)².
- Work out 20 − 3.
- Work out 6 − 4.
10.
Zee sorts the steps of a power puzzle in a cozy corner. Which step comes first in 5 + 4 × (7 − 9)²?
- Work out 5 + 4.
- Work out 4 × (7 − 9)².
- Work out 7 − 9.
- Work out 4 × 7.

7th grade Order of operations with fractions, decimals and negatives worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Order of operations with fractions, decimals and negatives. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can work out an expression like 5 + 3 × (-4) in the right order: the multiplying first, then the adding.
I can handle brackets, powers and bars, with fractions, decimals and negative numbers: (1/2)³, (-3)⁴, |3 − 8|.
I can tell -3² from (-3)², put a negative number in for a letter (2x² − 5 when x = -3), and keep going through up to six steps.

Standard: state-only (CCSS 6.EE.A.1–2 whole numbers; 7.EE.B.3 in context)

Words to know

order of operations: The agreed order: brackets and bars, then powers, then × and ÷, then + and −.

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

power: A number multiplied by itself several times, like (-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.

evaluate: Put a number in for the letter, then work out the expression.

Common mistakes

Your child worked left to right, adding or subtracting before multiplying, dividing or using a power. Try a story together: 2 plus 3 bags of 4 is 14, not 20.

Your child skipped the brackets and used the usual order instead.

Your child got the wrong sign when multiplying or dividing with a negative number. Try saying the rule together: same signs give a positive, different signs give a negative.

What to say

Ask: what do the brackets tell you to do first? Then write the bracket's value before going on.

Questions parents ask

What is the most common mistake with order of operations with fractions, decimals and negatives?

Your child worked left to right, adding or subtracting before multiplying, dividing or using a power. Try a story together: 2 plus 3 bags of 4 is 14, not 20.

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.

More grade 7 math

See all grade 7 math

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