Q: How is the number 635,516,405 written in Scientific Notation?

 A: 6.35516405 x 108

Why is 635,516,405 written as 6.35516405 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 635,516,405 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: 635,516,405
  • New Number: 6.35516405

Step 2

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

New Number: 6.35516405
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 = 6.35516405

b = 8

Now the whole thing:

6.35516405 x 108

Step 4

Check your work:

108 = 100,000,000 x 6.35516405 = 635,516,405


More Scientific Notation Examples

635,516,403635,516,404635,516,406635,516,407
6.35516403 x 1086.35516404 x 1086.35516406 x 1086.35516407 x 108

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