Q: How is the number 313,122,038 written in Scientific Notation?

 A: 3.13122038 x 108

Why is 313,122,038 written as 3.13122038 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 313,122,038 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: 313,122,038
  • New Number: 3.13122038

Step 2

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

New Number: 3.13122038
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 = 3.13122038

b = 8

Now the whole thing:

3.13122038 x 108

Step 4

Check your work:

108 = 100,000,000 x 3.13122038 = 313,122,038


More Scientific Notation Examples

313,122,036313,122,037313,122,039313,122,040
3.13122036 x 1083.13122037 x 1083.13122039 x 1083.1312204 x 108

Explore more about the number 313,122,038:


Ask a Question