CheerMath

Grade 6 Order of Operations Practice

Use Properties, Parentheses, and Multi-Step Operations

Put the properties to work! Compare all three properties, use them with bigger numbers, work with parentheses, and solve problems that take two or three steps.

Also known as Class 6 maths — the same topics, whether your school calls it grade, class or year.

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Sample questions

A few samples from this topic — try one, then show the answer.

  1. Order of Operations: Review Equal-Priority Operations

    Find the value of 17  −  \; - \;14  +  \; + \;10.
    • 41
    • 13
    • 8
    • 20
    Show answer
    Answer:
    13

  2. Compare Commutative, Associative, and Distributive Properties

    Which expression shows the correct use of the distributive property for 6(7  +  \; + \;5)?
    • 6×\times7  +  \; + \;5
    • 6  +  \; + \;7  +  \; + \;5
    • 6×\times7  +  \; + \;6×\times5
    • 6×\times7×\times5
    Show answer
    Answer:
    6×\times7  +  \; + \;6×\times5

  3. Solve Two-Step Whole-Number Problems

    A parking lot has 7 rows with 12 cars in each row. How many cars are in the parking lot?
    Show answer
    Answer:
    84

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A worked example

Find the value of 17  −  \; - \;14  +  \; + \;10.
  1. Evaluate 17  −  \; - \;14  +  \; + \;10
  2. When an expression has only addition and subtraction, work from left to right.
  3. Subtract: 17  −  \; - \;14  =  \; = \;3
  4. Add: 3  +  \; + \;10  =  \; = \;13
  5. 17  −  \; - \;14  +  \; + \;10  =  \; = \;13

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