Math Practice Problems - Scientific Notation

Scientific Notation - 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=3, Mode=toNormal

Convert from scientific notation into normal notation.

#	Problem	Correct Answer	Your Answer
1	1.63 × 10^-5
Solution Significant value = 1.63 Exponent = -5 Must move the decimal point 5 places to the left You should end up with 0.0000163

#	Problem	Correct Answer	Your Answer
2	5.4 × 10⁷
Solution Significant value = 5.4 Exponent = 7 Must move the decimal point 7 places to the right You should end up with 54000000

Complexity=4, Mode=toScientific

Convert from normal notation into scientific notation. Use '*' for the multiplication sign and '^' for the power. Sample answer: 4.5*10^6

#	Problem	Correct Answer	Your Answer
1	0.000002631
Solution Begin by finding out the significant part of the number. It should always be between 1 and 10. Thus, the significant part is 2.631 Must move the decimal 6 spots to the right to end up with the significant value. Thus, the exponential power should be -6. Scientific Notation = significant value × 10^exponent = 2.631*10^-6

#	Problem	Correct Answer	Your Answer
2	7.577
Solution Begin by finding out the significant part of the number. It should always be between 1 and 10. Thus, the significant part is 7.577 Must move the decimal 0 spots to the left to end up with the significant value. Thus, the exponential power should be 0. Scientific Notation = significant value × 10^exponent = 7.577*10^0

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