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Library Kits: Operation Shortcuts worksheet preview

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Library Kits: Operation Shortcuts

Practice multiplication and division properties with rational numbers through library makerspace tools, kit supplies, and account adjustments.

Grade 7MathInteractive · Printable

Aligned to7.NS.A.2.c

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 7
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Short answer

About this worksheet

What students practice

  • Students use commutative, associative, and distributive properties to simplify rational-number calculations.
  • Students rewrite division as multiplication by a reciprocal.
  • Students apply operation properties to kit supplies and signed account adjustments.

How to use

Ask students to show a useful rewrite beside each calculation. After independent practice, discuss which properties work for multiplication but not division.

Curriculum

Common Core standard covered

7.NS.A.2.c

Use properties of operations as strategies to multiply and divide rational numbers.

Preview

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Name Date

Library Kits: Operation Shortcuts

Use properties to simplify calculations for a library makerspace.

Choose a Useful Rewrite

Use operation properties to make each calculation easier. Keep track of negative signs.

1.
A library account calculation contains (−1.25 × 7) × 8. Which rewrite groups factors that multiply to −10?
  • A. (−1.25 × 7) + (−1.25 × 8)
  • B. (−1.25 × 8) × 7
  • C. (−1.25 × 8) × (−7)
  • D. −1.25 × (7 + 8)
2.
Factor out −5/6 to simplify the expression.

(−5/6 × 18) + (−5/6 × 6) =  

3.
Which multiplication expression correctly rewrites −21/8 ÷ 7/4?
  • A. −21/8 × 4/7
  • B. −8/21 × 7/4
  • C. −21/8 × 7/4
  • D. 21/8 × 4/7

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