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Scientific Notation to decimal form

Scientific Notation to decimal form

Super Learner
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Hi, can you explain how did you convert the below scientific notation to 425000 in decimal. Because where ever i put -9.425e+06 i am getting -9425000. because we shift the decimals to the right as e raise to 06 i positive. But you got 425000 i am a little confused here . Please explain with step by step calculation would be helpful.Thanks.

const
-9.452e+06

1 Answer

Super Learner

Hi Nishant,
When doing scientific notation, it’s best to look at it with a 10th’s spot. In science, most numbers after the 100th’s place tends to be rounded up and the other numbers become disregarded, unless we’re talking in very small numbers like mm, nm, etc.
“e” in scientific notation is synonymous with “10 to the power of (^)”. Do not confuse this e with Euler’s number (e) which is found in formulas and equates to ~2.72.
425000 in SN would be 4.25 x 10^5 or 4.25e5
-9425000 in SN would be -9.425 x 10^6 or -9.425e6, as you had stated so you are correct.
When dealing with extremely small numbers, such as when many zeroes are in place, the exponent will be negative.
For example 0.000009425 would be 9.425 x 10^-6
Regards,
Stephen B., MS

Barnes on the case again! Good explanation!

6 months

Haha thank you for your kind words ^_^ It helps I did a lot of stats in grad school. I don’t mind helping out when possible. I know some of the math can be confusing when it just gets thrown at you from every direction. 🙂

6 months
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