Q: How is the number 11,581,310 written in Scientific Notation?

 A: 1.158131 x 107

Why is 11,581,310 written as 1.158131 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 11,581,310 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: 11,581,310
  • New Number: 1.1581310

Step 2

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

New Number: 1.1581310
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 = 1.158131 (Please notice any zeroes on the end have been removed)

b = 7

Now the whole thing:

1.158131 x 107

Step 4

Check your work:

107 = 10,000,000 x 1.158131 = 11,581,310


More Scientific Notation Examples

11,581,30811,581,30911,581,31111,581,312
1.1581308 x 1071.1581309 x 1071.1581311 x 1071.1581312 x 107

Explore more about the number 11,581,310:


Ask a Question