Q: How is the number 32,042,214 written in Scientific Notation?

 A: 3.2042214 x 107

Why is 32,042,214 written as 3.2042214 x 107 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 32,042,214 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: 32,042,214
  • New Number: 3.2042214

Step 2

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

New Number: 3.2042214
Decimal Count: 1234567

There are 7 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 = 3.2042214

b = 7

Now the whole thing:

3.2042214 x 107

Step 4

Check your work:

107 = 10,000,000 x 3.2042214 = 32,042,214


More Scientific Notation Examples

32,042,21232,042,21332,042,21532,042,216
3.2042212 x 1073.2042213 x 1073.2042215 x 1073.2042216 x 107

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