Q: How is the number 204,002,304 written in Scientific Notation?

 A: 2.04002304 x 108

Why is 204,002,304 written as 2.04002304 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 204,002,304 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: 204,002,304
  • New Number: 2.04002304

Step 2

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

New Number: 2.04002304
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 = 2.04002304

b = 8

Now the whole thing:

2.04002304 x 108

Step 4

Check your work:

108 = 100,000,000 x 2.04002304 = 204,002,304


More Scientific Notation Examples

204,002,302204,002,303204,002,305204,002,306
2.04002302 x 1082.04002303 x 1082.04002305 x 1082.04002306 x 108

Explore more about the number 204,002,304:


Ask a Question