Skills · The Number System · Exponents & Roots

Multiplying and dividing in scientific notation

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

• multiply: (3 × 10⁴)(2 × 10³)
• multiply, then move the point: (4 × 10³)(5 × 10²)
• divide: (8 × 10⁶) ÷ (2 × 10²)
• divide, then move the point: (2 × 10⁵) ÷ (4 × 10²)

Sample Sheet · Level 1

1. (4 × 10⁵)(2 × 10²) =
2. (4 × 10⁵)(2 × 10³) =
3. (3 × 10⁵)(3 × 10⁵) =
4. (2 × 10²)(4 × 10⁴) =
5. (2 × 10²)(4 × 10³) =
6. (3 × 10⁵)(2 × 10⁴) =
7. (2 × 10³)(3 × 10⁵) =
8. (2 × 10⁴)(4 × 10⁵) =

Answer key

1. 8 × 10⁷
2. 8 × 10⁸
3. 9 × 10¹⁰
4. 8 × 10⁶
5. 8 × 10⁵
6. 6 × 10⁹
7. 6 × 10⁸
8. 8 × 10⁹

Sample Sheet · Level 3

1. (3 × 10³)(3 × 10⁻⁴) =
2. (2 × 10⁵) ÷ (8 × 10²) =
3. (7 × 10³)(8 × 10⁶) =
4. (5 × 10²)(5 × 10⁻³) =
5. (2 × 10³)(3 × 10⁴) =
6. (2 × 10⁴) ÷ (5 × 10⁻²) =
7. (9 × 10⁵) ÷ (3 × 10⁻³) =
8. (6 × 10⁵) ÷ (2 × 10¹) =

Answer key

1. 9 × 10⁻¹
2. 2.5 × 10²
3. 5.6 × 10¹⁰
4. 2.5 × 10⁰
5. 6 × 10⁷
6. 4 × 10⁵
7. 3 × 10⁸
8. 3 × 10⁴

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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