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Grade 8 · Math

Multiply in scientific notation

Multiply powers-of-ten notation and normalize the result.

8 authored questions + worked example

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Worked example

Write (2 × 102) × (3 × 103) in scientific notation.

Answer & why

Answer: 6 × 105

Multiply coefficients and add exponents, then make the leading coefficient at least 1 and less than 10: 6 × 105.

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All questions

All 8 authored questions for this skill.

Question 1

Write (9 × 104) × (2 × 102) in scientific notation.

  1. 1.8 × 108
  2. 1.8 × 107
  3. 1.8 × 106
  4. 1.9 × 107
A hint

Normalize the coefficient after multiplying.

Answer & why

Answer: 1.8 × 107

Multiply coefficients and add exponents, then make the leading coefficient at least 1 and less than 10: 1.8 × 107.

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Question 2

Write (5 × 103) × (3 × 104) in scientific notation.

  1. 1.6 × 108
  2. 1.5 × 108
  3. 1.5 × 107
  4. 1.5 × 109
A hint

Normalize the coefficient after multiplying.

Answer & why

Answer: 1.5 × 108

Multiply coefficients and add exponents, then make the leading coefficient at least 1 and less than 10: 1.5 × 108.

Add to plan

Question 3

Write (2 × 102) × (3 × 103) in scientific notation.

  1. 6 × 104
  2. 6 × 105
  3. 6 × 106
  4. 6.1 × 105
A hint

Normalize the coefficient after multiplying.

Answer & why

Answer: 6 × 105

Multiply coefficients and add exponents, then make the leading coefficient at least 1 and less than 10: 6 × 105.

Add to plan

Question 4

Write (3 × 103) × (4 × 102) in scientific notation.

  1. 1.2 × 105
  2. 1.2 × 106
  3. 1.2 × 107
  4. 1.3 × 106
A hint

Normalize the coefficient after multiplying.

Answer & why

Answer: 1.2 × 106

Multiply coefficients and add exponents, then make the leading coefficient at least 1 and less than 10: 1.2 × 106.

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Question 5

Write (4 × 101) × (5 × 104) in scientific notation.

  1. 2 × 106
  2. 2 × 107
  3. 2 × 105
  4. 2.1 × 106
A hint

Normalize the coefficient after multiplying.

Answer & why

Answer: 2 × 106

Multiply coefficients and add exponents, then make the leading coefficient at least 1 and less than 10: 2 × 106.

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Question 6

Write (6 × 103) × (2 × 103) in scientific notation.

  1. 1.3 × 107
  2. 1.2 × 108
  3. 1.2 × 107
  4. 1.2 × 106
A hint

Normalize the coefficient after multiplying.

Answer & why

Answer: 1.2 × 107

Multiply coefficients and add exponents, then make the leading coefficient at least 1 and less than 10: 1.2 × 107.

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Question 7

Write (7 × 102) × (3 × 104) in scientific notation.

  1. 2.1 × 106
  2. 2.1 × 108
  3. 2.2 × 107
  4. 2.1 × 107
A hint

Normalize the coefficient after multiplying.

Answer & why

Answer: 2.1 × 107

Multiply coefficients and add exponents, then make the leading coefficient at least 1 and less than 10: 2.1 × 107.

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Question 8

Write (8 × 101) × (4 × 105) in scientific notation.

  1. 3.2 × 107
  2. 3.2 × 106
  3. 3.3 × 107
  4. 3.2 × 108
A hint

Normalize the coefficient after multiplying.

Answer & why

Answer: 3.2 × 107

Multiply coefficients and add exponents, then make the leading coefficient at least 1 and less than 10: 3.2 × 107.

Add to plan