Q: How is the number 470,581 written in Scientific Notation?

 A: 4.70581 x 105

Why is 470,581 written as 4.70581 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 470,581 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: 470,581
  • New Number: 4.70581

Step 2

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

New Number: 4.70581
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 = 4.70581

b = 5

Now the whole thing:

4.70581 x 105

Step 4

Check your work:

105 = 100,000 x 4.70581 = 470,581


More Scientific Notation Examples

470,579470,580470,582470,583
4.70579 x 1054.7058 x 1054.70582 x 1054.70583 x 105

Explore more about the number 470,581:


Ask a Question