SOLUTION: scientific notation how would I work out this problem step by step 58,740

Question 843539: scientific notation how would I work out this problem step by step 58,740

Found 2 solutions by Fombitz, LinnW:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Scientific notation you need the number to be greater than or equal to 1 and less than 10 and a power of 10.
So in this case your number is 5.8740.
Then the exponent of the power of 10 is the number of places you moved the decimal point to get from 58740 to get to 5.8740, in your case 4.
So then

Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
Our answer will be .
We need to find the number that n should be.
Let's look at our number 58740.
Certainly 5874 * 10 = 58740
Also 587.4 * 100 = 58740
This is the same as = 58740
58.74 * 1000 = 58740
or

5.874 * 10000 = 58740
or

Notice that if begin at the right side of 58740
and count the number of positions until we end up
between the 5 and 8 we will have moved 4 positions.
This leads to our answer
Looking at another problem, suppose
we want 78,123,000,000 in scientific notation.
Start at the right and count till we are between the 7 and 8.
The count is 10, so
78,123,000,000 =
Please let me know if this is clear.
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