Q: How is the number 13,238,563 written in Scientific Notation?

 A: 1.3238563 x 107

Why is 13,238,563 written as 1.3238563 x 107 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 13,238,563 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: 13,238,563
  • New Number: 1.3238563

Step 2

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

New Number: 1.3238563
Decimal Count: 1234567

There are 7 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 = 1.3238563

b = 7

Now the whole thing:

1.3238563 x 107

Step 4

Check your work:

107 = 10,000,000 x 1.3238563 = 13,238,563


More Scientific Notation Examples

13,238,56113,238,56213,238,56413,238,565
1.3238561 x 1071.3238562 x 1071.3238564 x 1071.3238565 x 107

Explore more about the number 13,238,563:


Ask a Question