Q: How is the number 721,821 written in Scientific Notation?

 A: 7.21821 x 105

Why is 721,821 written as 7.21821 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 721,821 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: 721,821
  • New Number: 7.21821

Step 2

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

New Number: 7.21821
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 = 7.21821

b = 5

Now the whole thing:

7.21821 x 105

Step 4

Check your work:

105 = 100,000 x 7.21821 = 721,821


More Scientific Notation Examples

721,819721,820721,822721,823
7.21819 x 1057.2182 x 1057.21822 x 1057.21823 x 105

Explore more about the number 721,821:


Ask a Question