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Cogito

Grade 7 Math · Chapter 4 · Lesson 2

Practice Worksheet

Subtraction as Distance

How far, and in which direction.

10 problems · about 18 minutes · 7.NS.A.1

NameDate

Figure — use these to answer the problems

Subtraction measures the gap from the second number to the first.
-12-10-8-6-4-202468101247
4 − (-3) = 7
From4
Take away-3
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Adding Signed Numbers”

    −9 + 4 = ?

    Answer

  2. From “Finding the Original Price”

    £64 after 20% off. Original in pounds?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 3 − (−8) = ?

    Answer

  2. What does a − b measure?

    • The gap from b to a, with a direction.
    • The total of a and b.

  3. 6 − (−2) = ?

    Answer

  4. −4 − 3 = ?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. −1 − (−6) = ?

    Answer

  2. 2 − 9 = ?

    Answer

Stretch Yourself

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

2 problems

  1. The Temperatures

    From −5 degrees to 8 degrees. How many degrees is the rise?

    Answer

  2. The Debt

    A balance of −30 has 20 taken away. What is the new balance?

    Answer