Q: How is the number 1,305,870 written in Scientific Notation?

 A: 1.30587 x 106

Why is 1,305,870 written as 1.30587 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 1,305,870 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: 1,305,870
  • New Number: 1.305870

Step 2

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

New Number: 1.305870
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 = 1.30587 (Please notice any zeroes on the end have been removed)

b = 6

Now the whole thing:

1.30587 x 106

Step 4

Check your work:

106 = 1,000,000 x 1.30587 = 1,305,870


More Scientific Notation Examples

1,305,8681,305,8691,305,8711,305,872
1.305868 x 1061.305869 x 1061.305871 x 1061.305872 x 106

Explore more about the number 1,305,870:


Ask a Question