Q: How is the number 521,001,198 written in Scientific Notation?

 A: 5.21001198 x 108

Why is 521,001,198 written as 5.21001198 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 521,001,198 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: 521,001,198
  • New Number: 5.21001198

Step 2

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

New Number: 5.21001198
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 = 5.21001198

b = 8

Now the whole thing:

5.21001198 x 108

Step 4

Check your work:

108 = 100,000,000 x 5.21001198 = 521,001,198


More Scientific Notation Examples

521,001,196521,001,197521,001,199521,001,200
5.21001196 x 1085.21001197 x 1085.21001199 x 1085.210012 x 108

Explore more about the number 521,001,198:


Ask a Question