Scientific Notation

To express a number in scientific notation you first have to divide that number by a power of 10 such that the greatest place value digit is units. In this case we can divide by 100 to get 2.47. The next step is to take the power of 10 we used (in this case 100, or 102) and write it along side the number as a multiplication. Thus, 247 in scientific notation is 2.47x102

5.6 × 10-3

7.2*10-5

Note that 321 is the same as 321.0.

From the starting point, which is between 1 and 0, move 2 decimal places to the left to get:

3.21 x 10²

So that is the value in scientific notation.

How many places would you have to move the decimal point to leave one non-zero digit? 6

So

0.07882 in scientific notation = 7.882 × 10-2

0.68 x 10-2

0.0007 = 7x10-4

It is 3.4*10^8.

It is 5.66*10^-3 in scientific notation

8,915,000,000 can be written as 8.92 × 109 in scientific notation.

89,000,000,000 in scientific notation is: 8.900000e+10

2.204 X 109

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The trailing zeros are superfluous.

0.000253 can be written as 2.53 × 10-4 in scientific notation.

7.86 * 10^-7

0.0089 = 8.9x10-3

0.00082 = 8.2*104

It is: 4.702*10^1

It is: 1.13*10^8

It is: 3.7*10^-2

9 x 10-2.

It is approx 6*10^-6 metres although the SI system allows one to use an appropriate prefix instead, and say 6 micrometres.

4 x 10^2

It is: 2^10*5^3 = 128000

128000 = 1.28 x 10^5