Q: How is the number 31,411,204 written in Scientific Notation?

 A: 3.1411204 x 107

Why is 31,411,204 written as 3.1411204 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 31,411,204 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: 31,411,204
  • New Number: 3.1411204

Step 2

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

New Number: 3.1411204
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 = 3.1411204

b = 7

Now the whole thing:

3.1411204 x 107

Step 4

Check your work:

107 = 10,000,000 x 3.1411204 = 31,411,204


More Scientific Notation Examples

31,411,20231,411,20331,411,20531,411,206
3.1411202 x 1073.1411203 x 1073.1411205 x 1073.1411206 x 107

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