Q: How is the number 640,633,635 written in Scientific Notation?

 A: 6.40633635 x 108

Why is 640,633,635 written as 6.40633635 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 640,633,635 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: 640,633,635
  • New Number: 6.40633635

Step 2

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

New Number: 6.40633635
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 = 6.40633635

b = 8

Now the whole thing:

6.40633635 x 108

Step 4

Check your work:

108 = 100,000,000 x 6.40633635 = 640,633,635


More Scientific Notation Examples

640,633,633640,633,634640,633,636640,633,637
6.40633633 x 1086.40633634 x 1086.40633636 x 1086.40633637 x 108

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