Q: How is the number 204,532,054 written in Scientific Notation?

 A: 2.04532054 x 108

Why is 204,532,054 written as 2.04532054 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 204,532,054 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: 204,532,054
  • New Number: 2.04532054

Step 2

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

New Number: 2.04532054
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 = 2.04532054

b = 8

Now the whole thing:

2.04532054 x 108

Step 4

Check your work:

108 = 100,000,000 x 2.04532054 = 204,532,054


More Scientific Notation Examples

204,532,052204,532,053204,532,055204,532,056
2.04532052 x 1082.04532053 x 1082.04532055 x 1082.04532056 x 108

Explore more about the number 204,532,054:


Ask a Question