## - 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.

See some of our other supported math practice problems.

### Complexity=3, Mode=toNormal

Convert from scientific notation into normal notation.
 1.   5.2 × 1010 2.   6.94 × 106

### 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
 1.   0.000000889 2.   2835000

### Complexity=3, Mode=toNormal

Convert from scientific notation into normal notation.
15.2 × 1010
Solution
Significant value = 5.2
Exponent = 10
Must move the decimal point 10 places to the right
You should end up with 52000000000
26.94 × 106
Solution
Significant value = 6.94
Exponent = 6
Must move the decimal point 6 places to the right
You should end up with 6940000

### 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
10.000000889
Solution
Begin by finding out the significant part of the number. It should always be between 1 and 10. Thus, the significant part is 8.89
Must move the decimal 7 spots to the right to end up with the significant value. Thus, the exponential power should be -7.
Scientific Notation = significant value × 10exponent = 8.89*10^-7
22835000
Solution
Begin by finding out the significant part of the number. It should always be between 1 and 10. Thus, the significant part is 2.835
Must move the decimal 6 spots to the left to end up with the significant value. Thus, the exponential power should be 6.
Scientific Notation = significant value × 10exponent = 2.835*10^6