Scientific Notation

4.47 × 10-8 written in regular notation is 0.0000000447

4.73*10-2

5.050 x 103

3.84*105 kilometres.

5.3 trillion = 5.3 × 1012

0.0000467 in Scientific Notation = 4.67 x 10-5

23,000

9,700,045,306 9.700045306 x 109

0.7867000000000002

5,244,000,000 = 5.244e9 or 5.244 x 10^9

1.08^12 = 2.51817011682

You use scientific notation in astronomy to compute very large or very small numbers.

It is 1.85*10^2 in scientific notation

It is 1.0174039342*107.

9,812,046 --> 9.812 * 10^6

You move the decimal point 6 places to the left for larger numbers. You can leave of the decimals if need be or add them all depending on the number of significant figures.

.00012 --> 1.2 * 10^-4

Negative powers shift the decimal point to the right for small numbers.

The number that is being multiplied by 10 MUST be greater than or equal to one or less than ten.

scientific notation

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1.5x10^6. In general, when using scientific notation you want to have (some number greater than or equal to 1 and less than 10)x10^(the appropriate exponent). So to get the answer, we'd see that 1500000 = 15x10^5 since there are five 0's and then we'd further reduce it to 1.5x10^6.

5.05

Standard form (also called scientific notation or exponential notation) is a way of writing numbers that accommodates values too large or small to be conveniently written in standard decimal notation.

9.8 × 1010

9.99 X 10^-12.

5.2 x 10-1

Forty-one thousandths in standard form is written as 4.1 × 10-2

1.167 times 102.

7.384 x 10^3 or (7 x 10^3) + (3 x 10^2) + (8 x 10^1) + (4 x 10^0)

70 in scientific notation is 7 x 101 (might show up as 7E1 on some calculators).

Watch out for significant figures and avoid 7.0 x 101 as the zero is not a sig fig in this case since there is no decimal.