Q: How is the number 311,133,205 written in Scientific Notation?

 A: 3.11133205 x 108

Why is 311,133,205 written as 3.11133205 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 311,133,205 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: 311,133,205
  • New Number: 3.11133205

Step 2

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

New Number: 3.11133205
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 = 3.11133205

b = 8

Now the whole thing:

3.11133205 x 108

Step 4

Check your work:

108 = 100,000,000 x 3.11133205 = 311,133,205


More Scientific Notation Examples

311,133,203311,133,204311,133,206311,133,207
3.11133203 x 1083.11133204 x 1083.11133206 x 1083.11133207 x 108

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