Q: How is the number 521,004,405 written in Scientific Notation?

 A: 5.21004405 x 108

Why is 521,004,405 written as 5.21004405 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 521,004,405 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: 521,004,405
  • New Number: 5.21004405

Step 2

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

New Number: 5.21004405
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 = 5.21004405

b = 8

Now the whole thing:

5.21004405 x 108

Step 4

Check your work:

108 = 100,000,000 x 5.21004405 = 521,004,405


More Scientific Notation Examples

521,004,403521,004,404521,004,406521,004,407
5.21004403 x 1085.21004404 x 1085.21004406 x 1085.21004407 x 108

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