Q: How is the number 332,005,171 written in Scientific Notation?

 A: 3.32005171 x 108

Why is 332,005,171 written as 3.32005171 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 332,005,171 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: 332,005,171
  • New Number: 3.32005171

Step 2

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

New Number: 3.32005171
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 = 3.32005171

b = 8

Now the whole thing:

3.32005171 x 108

Step 4

Check your work:

108 = 100,000,000 x 3.32005171 = 332,005,171


More Scientific Notation Examples

332,005,169332,005,170332,005,172332,005,173
3.32005169 x 1083.3200517 x 1083.32005172 x 1083.32005173 x 108

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