Q: How is the number 34,131,415 written in Scientific Notation?

 A: 3.4131415 x 107

Why is 34,131,415 written as 3.4131415 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 34,131,415 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: 34,131,415
  • New Number: 3.4131415

Step 2

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

New Number: 3.4131415
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 = 3.4131415

b = 7

Now the whole thing:

3.4131415 x 107

Step 4

Check your work:

107 = 10,000,000 x 3.4131415 = 34,131,415


More Scientific Notation Examples

34,131,41334,131,41434,131,41634,131,417
3.4131413 x 1073.4131414 x 1073.4131416 x 1073.4131417 x 107

Explore more about the number 34,131,415:


Ask a Question