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Write 915,000,000 in scientific notation

User Kombucha
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1 Answer

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The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:


a\cdot10^b

Follow the steps below to see how 915,000,000 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 915,000,000

New Number: 9.15000000

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 9 . 1 5 0 0 0 0 0 0

Decimal Count: 1 2 3 4 5 6 7 8

There are 8 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10^b

a = 9.15 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

9.15 x 10^8

or


9.15\cdot10^8

Step 4

Check your work:


10^8\cdot9.15=100,000,000\cdot9.15=915,000,000

User Aniston
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