Scientific Notation

310233 = 3.10233 x 105. The decimal place was moved 5 places to the left to make the mantissa between greater than or equal to 1 and less than 10. The exponent is positive if the original number is bigger than 10.

3.17 x 104

4.2*10^1

300 in Scientific Notation = 3 x 102

1.15 x 101

2.3*107

Hypothetical question for you here:

Would you rather write

54,000,000,000,000,000,000,000,000

or

5.4 x 10^25

It's much faster to write, plus you don't have to count zeroes. It's an easy way to write really, really small numbers, or really, really large numbers.

0.0008549 = 8.549 × 10-4

8762 = 8.762 x 1000 = 8.762 x 103

6.25 million in Scientific Notation = 6.25 x 106

To convert a number to scientific notation: · If the number has no decimal point, then add one at the end. · Then move the decimal point to just after the first digit while counting the number of places you have moved it. · The mantissa of the new number, formed after moving the decimal point is a. · If the original number is negative, then so is a. · The number of places to the left that the decimal point was moved is b. If it was moved to the right, then b is negative. For example: 23045.06 becomes 2.304506*10^4 -23045.06 becomes -2.304506*10^4 0.00023004 becomes 2.3004*10^-4

1.25 X 102 is the real question srry

It is 5.620*10^0 or, more simply, 5.620

It is: 2.5*10^13 miles

5.4 X 10^7

8.8880 X 10-2 = 0.08880 in scientific notation.

0.004361

= 4.361 x 10 -3

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3.712 × 10-2

4.8 x 105

6.3819 × 10-20

4.08915E5 or 4.0891E5

* sometimes in scientific notation only 4 places after the decimal are used sometimes 6 places.

3.143 × 10-3

8.347 X 104

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