Q: How is the number 81,434,405 written in Scientific Notation?

 A: 8.1434405 x 107

Why is 81,434,405 written as 8.1434405 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 81,434,405 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: 81,434,405
  • New Number: 8.1434405

Step 2

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

New Number: 8.1434405
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 = 8.1434405

b = 7

Now the whole thing:

8.1434405 x 107

Step 4

Check your work:

107 = 10,000,000 x 8.1434405 = 81,434,405


More Scientific Notation Examples

81,434,40381,434,40481,434,40681,434,407
8.1434403 x 1078.1434404 x 1078.1434406 x 1078.1434407 x 107

Explore more about the number 81,434,405:


Ask a Question