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## Scientific Notation 2 - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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### Complexity=1, Mode=mul-div

Compute, rounding to the nearest tenth.
Sample answers:   3.4 × 102,   4.2 × 10-5,   1.5   (not   1.5 × 100   since   100 = 1). Use your calculator to multiply or divide decimals.
Type sample answers as:   3.4 * 10^2,   4.2 * 10^-5,   1.5.   An online calculator is provided.

 1.   (2.4 × 10-8) × (5 × 106) 2.   (8.1 × 10-1) × (6.4 × 107)

### Complexity=1, Mode=mul-div

Compute, rounding to the nearest tenth.
Sample answers:   3.4 × 102,   4.2 × 10-5,   1.5   (not   1.5 × 100   since   100 = 1). Use your calculator to multiply or divide decimals.
Type sample answers as:   3.4 * 10^2,   4.2 * 10^-5,   1.5.   An online calculator is provided.

1(2.4 × 10-8) × (5 × 106)
Solution
(2.4 × 10-8) × (5 × 106)
Multiply the decimal parts of each number:
2.4 × 5 = 12

Convert the new decimal into scientific notation and round it:
1.2 × 101

Add the powers of the exponents all together:
-8 + 6 + 1 = -1

Combine the new decimal with the new power of 10:
1.2 × 10-1

2(8.1 × 10-1) × (6.4 × 107)
Solution
(8.1 × 10-1) × (6.4 × 107)
Multiply the decimal parts of each number:
8.1 × 6.4 = 51.84

Convert the new decimal into scientific notation and round it:
5.2 × 101

Add the powers of the exponents all together:
-1 + 7 + 1 = 7

Combine the new decimal with the new power of 10:
5.2 × 107