Help Scientific Notation Problem
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Help Scientific Notation Problem

[From: ] [author: ] [Date: 11-07-01] [Hit: ]
5x10^9/8.Simply divide 4.5 by 8.4.5 ÷ 8.1 = 5/9 or .......
Hi I need help solving this scientific notation problem. Divide and write the answer in scientific notation. (Round to the nearest thousandth as needed). Symbol ^ means to the power of.

4.5x10^9/8.1x10^-11

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Let's first deal with the numbers
Simply divide 4.5 by 8.1
4.5 ÷ 8.1 = 5/9 or .55555555556

Now since we are dividing, you should SUBTRACT your exponents
9-(-11) = 20

.55555555556x10^20

Now when putting numbers in scientific notation, your number shouldn't be less than 1 and more than 10. We have to move the decimal point to the right.

5.5555555556x10^20

Now that we have adjust the number, you subtract 1 from the exponent
So ^20-1=^19

5.5555555556x10^19 <--- This is your answer!

5.56x10^19 <---This is an approximation

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First deal with the exponents. Exponents are the number of times you multiply by 10. So it's like you take 4.5/8.1, and then multiply it by 10 9 times, and then divide it by 10 -11 times. Dividing negative times means multiplying, so divide 4.5 by 8.1 and then multiply by 10 20 times. The answer is 0.56 multiplied by 10 20 times, or 5.6x10^19 (you use up one multiplication by 10 to get from 0.56 to 5.6).
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