Q: How is the number 3,581,780 written in Scientific Notation?

 A: 3.58178 x 106

Why is 3,581,780 written as 3.58178 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 3,581,780 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: 3,581,780
  • New Number: 3.581780

Step 2

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

New Number: 3.581780
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 = 3.58178 (Please notice any zeroes on the end have been removed)

b = 6

Now the whole thing:

3.58178 x 106

Step 4

Check your work:

106 = 1,000,000 x 3.58178 = 3,581,780


More Scientific Notation Examples

3,581,7783,581,7793,581,7813,581,782
3.581778 x 1063.581779 x 1063.581781 x 1063.581782 x 106

Explore more about the number 3,581,780:


Ask a Question