Skip to lesson

Choose “Save as PDF” in the print dialog to keep a copy.

Cogito

Grade 8 Math · Chapter 7 · Lesson 3

Practice Worksheet

Zero and Negative Exponents

Continuing the pattern downwards.

10 problems · about 19 minutes · 8.EE.A.1

NameDate

Figure — use these to answer the problems

Each step down the exponent divides by the base.
Before: 8
After: 4
1/2 × 8 = 4
The value8
Multiply by1
Divided by2
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Scientific Notation”

    3 × 10⁴ written out. What is it?

    Answer

  2. From “Laws of Exponents”

    3⁵ × 3² = 3 to what power?

    Answer

  3. From “Reading a Graph as a Story”

    A distance graph falls steadily. Is the person moving away or back? 1 for away, 2 for back.

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. What is 10⁻²? Give it as a decimal.

    Answer

  2. What is 5⁰?

    Answer

  3. What is 10⁻¹? Give it as a decimal.

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. What is 4⁻¹? Give it as a decimal.

    Answer

  2. Is 2⁻³ a negative number? 1 for yes, 0 for no.

    Answer

Stretch Yourself

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

2 problems

  1. The Zero Power

    What is 7⁰?

    Answer

  2. The Negative Power

    What is 2⁻²? Give it as a decimal.

    Answer