Q: How is the number 477,638,704 written in Scientific Notation?

 A: 4.77638704 x 108

Why is 477,638,704 written as 4.77638704 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 477,638,704 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: 477,638,704
  • New Number: 4.77638704

Step 2

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

New Number: 4.77638704
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 = 4.77638704

b = 8

Now the whole thing:

4.77638704 x 108

Step 4

Check your work:

108 = 100,000,000 x 4.77638704 = 477,638,704


More Scientific Notation Examples

477,638,702477,638,703477,638,705477,638,706
4.77638702 x 1084.77638703 x 1084.77638705 x 1084.77638706 x 108

Explore more about the number 477,638,704:


Ask a Question