Q: How is the number 5,215,414 written in Scientific Notation?

 A: 5.215414 x 106

Why is 5,215,414 written as 5.215414 x 106 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 5,215,414 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: 5,215,414
  • New Number: 5.215414

Step 2

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

New Number: 5.215414
Decimal Count: 123456

There are 6 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 = 5.215414

b = 6

Now the whole thing:

5.215414 x 106

Step 4

Check your work:

106 = 1,000,000 x 5.215414 = 5,215,414


More Scientific Notation Examples

5,215,4125,215,4135,215,4155,215,416
5.215412 x 1065.215413 x 1065.215415 x 1065.215416 x 106

Explore more about the number 5,215,414:


Ask a Question