Q: How is the number 368,542,806 written in Scientific Notation?

 A: 3.68542806 x 108

Why is 368,542,806 written as 3.68542806 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 368,542,806 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: 368,542,806
  • New Number: 3.68542806

Step 2

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

New Number: 3.68542806
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 = 3.68542806

b = 8

Now the whole thing:

3.68542806 x 108

Step 4

Check your work:

108 = 100,000,000 x 3.68542806 = 368,542,806


More Scientific Notation Examples

368,542,804368,542,805368,542,807368,542,808
3.68542804 x 1083.68542805 x 1083.68542807 x 1083.68542808 x 108

Explore more about the number 368,542,806:


Ask a Question