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Cogito

Grade 8 Math · Chapter 7 · Lesson 4

Practice Worksheet

Calculating in Scientific Notation

Multiplying and dividing very large and very small numbers.

10 problems · about 20 minutes · 8.EE.A.4

NameDate

Figure — use these to answer the problems

Each power of ten multiplies the value by another ten.

Before: 4

After: 20

5 × 4 = 20

The number part4

Multiply by5

Divided by1

Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

From “Zero and Negative Exponents”
What is 10⁻²? Give it as a decimal.
Answer
From “Scientific Notation”
3 × 10⁴ written out. What is it?
Answer
From “Laws of Exponents”
3⁵ × 3² = 3 to what power?
Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

(4 × 10⁵) × (2 × 10³). What is the exponent?
Answer
(3 × 10²) × (3 × 10⁴). What is the exponent?
Answer
(8 × 10⁶) ÷ (2 × 10²). What is the number part?
Answer

Build It Up

The same ideas with more to keep track of.

2 problems

Same division. What is the exponent?
Answer
60 × 10³ rewritten properly. What is the exponent?
Answer

Stretch Yourself

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

2 problems

The Product
(2 × 10³) × (4 × 10²). What is the number part?
Answer
The Exponent
Same product. What is the exponent?
Answer