Q: How is the number 515,441,311 written in Scientific Notation?

 A: 5.15441311 x 108

Why is 515,441,311 written as 5.15441311 x 108 in scientific notation?

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 x 10b

Follow the steps below to see how 515,441,311 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: 515,441,311
  • New Number: 5.15441311

Step 2

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

New Number: 5.15441311
Decimal Count: 12345678

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 10b

a = 5.15441311

b = 8

Now the whole thing:

5.15441311 x 108

Step 4

Check your work:

108 = 100,000,000 x 5.15441311 = 515,441,311


More Scientific Notation Examples

515,441,309515,441,310515,441,312515,441,313
5.15441309 x 1085.1544131 x 1085.15441312 x 1085.15441313 x 108

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