Q: How is the number 163,300,638 written in Scientific Notation?

 A: 1.63300638 x 108

Why is 163,300,638 written as 1.63300638 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 163,300,638 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: 163,300,638
  • New Number: 1.63300638

Step 2

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

New Number: 1.63300638
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 = 1.63300638

b = 8

Now the whole thing:

1.63300638 x 108

Step 4

Check your work:

108 = 100,000,000 x 1.63300638 = 163,300,638


More Scientific Notation Examples

163,300,636163,300,637163,300,639163,300,640
1.63300636 x 1081.63300637 x 1081.63300639 x 1081.6330064 x 108

Explore more about the number 163,300,638:


Ask a Question