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Cogito

Grade 7 Math · Chapter 5 · Lesson 2

Practice Worksheet

Rational Numbers in Problems

All four operations, with signs.

10 problems · about 18 minutes · 7.NS.A.3, 7.EE.B.3

NameDate

Figure — use these to answer the problems

Any signed sum is still one walk along the line.
-12-10-8-6-4-2024681012-6-2
-6 + 4 = -2
Start at-6
Add4
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

1 problem

  1. From “Why a Negative Times a Negative Is Positive”

    (−9) × (−3) = ?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. −4 + 5 × (−3) = ?

    Answer

  2. What is worth doing before calculating?

    • Decide whether the answer should be positive or negative.
    • Nothing. Just work it out.

  3. −5 + 3 × (−2) = ?

    Answer

  4. (−12) ÷ 4 + 5 = ?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 2 × (−7) + 10 = ?

    Answer

  2. (−3) × (−4) − 5 = ?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

3 problems

  1. The Dive

    A diver at −12 m descends 4 m more, then rises 7. What is the depth now?

    Answer

  2. The Debt

    Five people each owe 8 pounds. What is the total, as a negative?

    Answer

  3. The Cooling

    The temperature falls 2 degrees an hour for 6 hours from 4 degrees. What is it now?

    Answer