Q: How is the number 413,134,252 written in Scientific Notation?

 A: 4.13134252 x 108

Why is 413,134,252 written as 4.13134252 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 413,134,252 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: 413,134,252
  • New Number: 4.13134252

Step 2

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

New Number: 4.13134252
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 = 4.13134252

b = 8

Now the whole thing:

4.13134252 x 108

Step 4

Check your work:

108 = 100,000,000 x 4.13134252 = 413,134,252


More Scientific Notation Examples

413,134,250413,134,251413,134,253413,134,254
4.1313425 x 1084.13134251 x 1084.13134253 x 1084.13134254 x 108

Explore more about the number 413,134,252:


Ask a Question