Q: How is the number 702,241,810 written in Scientific Notation?

 A: 7.0224181 x 108

Why is 702,241,810 written as 7.0224181 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 702,241,810 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: 702,241,810
  • New Number: 7.02241810

Step 2

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

New Number: 7.02241810
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 = 7.0224181 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

7.0224181 x 108

Step 4

Check your work:

108 = 100,000,000 x 7.0224181 = 702,241,810


More Scientific Notation Examples

702,241,808702,241,809702,241,811702,241,812
7.02241808 x 1087.02241809 x 1087.02241811 x 1087.02241812 x 108

Explore more about the number 702,241,810:


Ask a Question