Q: How is the number 409,083,122 written in Scientific Notation?

 A: 4.09083122 x 108

Why is 409,083,122 written as 4.09083122 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 409,083,122 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: 409,083,122
  • New Number: 4.09083122

Step 2

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

New Number: 4.09083122
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 = 4.09083122

b = 8

Now the whole thing:

4.09083122 x 108

Step 4

Check your work:

108 = 100,000,000 x 4.09083122 = 409,083,122


More Scientific Notation Examples

409,083,120409,083,121409,083,123409,083,124
4.0908312 x 1084.09083121 x 1084.09083123 x 1084.09083124 x 108

Explore more about the number 409,083,122:


Ask a Question