Scientific Notation Name ______________________

Convert the following numbers into scientific notation.

1. 792,600,000 7.926 ´ 10⁸ always move the decimal until it is just to the right of the first non-zero number, then use the exponent of ten to tell how many times the decimal was moved.

2. 4,050,000

3. 0.000000233

4. 0.0000900 9.00 ´ 10^-5 you must include all significant figures, even trailing zeros

Convert the following to standard numerals.

5. 9.5 ´ 10 ^{- 4} 0.00095 the -4 exponent means the decimal was moved 4 times, not that you have 4 zeros

6. 8.98 ´ 10 ⁷

7. 4 ´ 10 ⁵

8. 7.032 ´ 10 ^{- 3}

Be sure to follow the rules regarding significant digits.

9. 7.8 ´ 10 ⁹ ´ 2.1 ´ 10 ¹² = Remember to use the “EE” key when solving this

10. 2.21 ´ 10 ^{- 18} ¸ 1.406 ´ 10 ⁴ = Round your answer to three sig figs

11. 1.98 ´ 10 ⁹ ¸ 5.5 ´ 10 ^{- 3} = 3.6 ´ 10 ¹¹ round to two sig figs

12. 4.44 ´ 10 ^{- 5} ´ 6.50 ´ 10 ^{- 8} =

13. 5.2 ´ 10 ¹¹ ´ 3.51 ´ 10 ⁷ =

14. 2.87 ´ 10 ^{- 5} ¸ 8.21 ´ 10 ¹⁰ =

Answers:

0.00095

0.007032

400,000

89,800,000

1.57 ´ 10 ^{- 22}

1.6 ´ 10 ²²

1.8 ´ 10 ¹⁹

2.33 ´ 10 ^{- 7}

2.89 ´ 10 ^{- 12}

3.49 ´ 10 ^{- 16}

3.6 ´ 10 ¹¹

4.05 ´ 10 ⁶

7.926 ´ 10 ⁸

9.00 ´ 10 ^{- 5}