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Cogito

Grade 7 Math · Chapter 5 · Lesson 3

Practice Worksheet

Why Two Negatives Make a Positive

Not a rule to memorise — a pattern that has to continue.

10 problems · about 19 minutes · 7.NS.A.2

NameDate

Figure — use these to answer the problems

Multiply by a negative. The answer flips to the other side of zero.
-10-8-6-4-20246810flip about 0-36
-3 × -2 = 6
The number-3
Multiplied by-2
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Rational Numbers in Problems”

    −4 + 5 × (−3) = ?

    Answer

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

    (−9) × (−3) = ?

    Answer

  3. From “Signed Fractions and Decimals”

    −3.5 + 1.25 = ?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. (−6) × (−4) = ?

    Answer

  2. (−3) × (−6) = ?

    Answer

  3. (−7) × 3 = ?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. (−2) × (−2) × (−2) = ?

    Answer

  2. (−1) × (−1) × (−1) × (−1) = ?

    Answer

Stretch Yourself

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

2 problems

  1. The Product

    What is (−4) × (−5)?

    Answer

  2. The Mixed Signs

    What is (−4) × 5?

    Answer