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# Scientific Notation Practice Questions

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Updated on Oct 3, 2011

To review these concepts, go to Scientific Notation Study Guide.

## Scientific Notation Practice Questions

### Practice

1. What is 7.206 × 10–4 written in standard form?
2. What is 567,090,000 written in scientific notation?
3. Write 2.701 × 107 in standard form.
4. Write 4.09 × 10–5 in standard form.
5. Write 5,063,000,000 in scientific notation.

### Solutions

1. .0007206. The negative exponent of 4 dictates that you move the decimal point four places to the left.
2. 5.6709 × 108. Change the large number to be a decimal number between 1 and 10, followed by a multiplication by a power of 10. By doing this, you have moved the decimal point eight places to the left.
3. The exponent of 7 on the power of 10 dictates that you move the decimal point in the decimal 2.701 seven places to the right. Three of the places will be taken up by the digits 7, 0, and 1 and then four more zeros will follow to result in 27,010,000.
4. The negative exponent, –5, on the power of 10 means that you must move the decimal point five places to the left. The number 4.09 has only one digit to the left of the decimal point. Four leading zeros must be added as placeholders: 0.0000409.
5. Write the number as a decimal between one and ten, and then multiply by the appropriate power of 10. Move the decimal point nine places to the left to go from 5,063,000,000 to 5.063. The answer is 5.063 × 109.

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