Q: How is the number 514,178,080 written in Scientific Notation?

 A: 5.1417808 x 108

Why is 514,178,080 written as 5.1417808 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 514,178,080 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: 514,178,080
  • New Number: 5.14178080

Step 2

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

New Number: 5.14178080
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 = 5.1417808 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

5.1417808 x 108

Step 4

Check your work:

108 = 100,000,000 x 5.1417808 = 514,178,080


More Scientific Notation Examples

514,178,078514,178,079514,178,081514,178,082
5.14178078 x 1085.14178079 x 1085.14178081 x 1085.14178082 x 108

Explore more about the number 514,178,080:


Ask a Question