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Cogito

Grade 8 Math · Chapter 7 · Lesson 2

Practice Worksheet

Scientific Notation

Very big and very small, written compactly.

10 problems · about 18 minutes · 8.EE.A.3, 8.EE.A.4

NameDate

Figure — use these to answer the problems

Each place up is one more power of ten.

Hundreds

4

Tens

3

Ones

0

The number430
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Laws of Exponents”

    3⁵ × 3² = 3 to what power?

    Answer

  2. 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.

4 problems

  1. 3 × 10⁴ written out. What is it?

    Answer

  2. What must the first part of a scientific notation number be?

    • At least 1 and less than 10.
    • Any number at all.

  3. 60,000 is 6 × 10 to what power?

    Answer

  4. 2 × 10³ written out. What is it?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 4.5 × 10² written out. What is it?

    Answer

  2. Which is bigger, 8 × 10² or 2 × 10⁴?

    • 2 × 10⁴.
    • 8 × 10².

Stretch Yourself

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

2 problems

  1. The Big Number

    7,000 is 7 × 10 to what power?

    Answer

  2. The Comparison

    Which is bigger, 3 × 10⁵ or 9 × 10³?

    • 3 × 10⁵.
    • 9 × 10³.