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Robotics Bench: Calculate Smarter worksheet preview

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Robotics Bench: Calculate Smarter

Apply operation properties to rational-number products and quotients while planning robot parts, test cycles, and signed movement.

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, Circle the answer, Sorting, Short answer

About this worksheet

What students practice

  • Students use the distributive property to simplify products of signed rational numbers.
  • Students reorder and regroup rational factors to calculate efficiently.
  • Students use reciprocals and equivalent quotients to simplify rational-number division.

How to use

Ask students to record a helpful rewrite beside each calculation. Review which properties allow factors to move and why division needs different treatment.

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

Robotics Bench: Calculate Smarter

Use operation properties to simplify the club’s building and testing calculations.

Plan Efficient Calculations

Choose or complete useful rewrites. Use operation properties rather than long calculations.

1.
The robotics club runs 14 camera test cycles. Every cycle includes both steps below, with no pause. Which expression groups the times to make the total easiest to calculate?
One Camera Test Cycle
StepTime (seconds)
Scan0.45
Save0.55
  • A. 14 × (0.45 + 0.55)
  • B. 14 × (0.55 − 0.45)
  • C. 14 × 0.45 + 0.55
  • D. 14 × (0.45 × 0.55)
2.
A motor test formula includes (−0.75) × (8 − 2/3). Distribute −0.75 to both terms to evaluate it.

What is the value?  

3.
A robot's signed speed calculation is −4.8 ÷ 0.16. Select every equivalent quotient formed by multiplying the dividend and divisor by the same positive number.

−480 ÷ 16−48 ÷ 16−48 ÷ 1.6−480 ÷ 1.6

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