Q: How is the number 309,740 written in Scientific Notation?

 A: 3.0974 x 105

Why is 309,740 written as 3.0974 x 105 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 309,740 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: 309,740
  • New Number: 3.09740

Step 2

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

New Number: 3.09740
Decimal Count: 12345

There are 5 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 = 3.0974 (Please notice any zeroes on the end have been removed)

b = 5

Now the whole thing:

3.0974 x 105

Step 4

Check your work:

105 = 100,000 x 3.0974 = 309,740


More Scientific Notation Examples

309,738309,739309,741309,742
3.09738 x 1053.09739 x 1053.09741 x 1053.09742 x 105

Explore more about the number 309,740:


Ask a Question