Q: How is the number 4,688,478 written in Scientific Notation?

 A: 4.688478 x 106

Why is 4,688,478 written as 4.688478 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 4,688,478 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: 4,688,478
  • New Number: 4.688478

Step 2

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

New Number: 4.688478
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 = 4.688478

b = 6

Now the whole thing:

4.688478 x 106

Step 4

Check your work:

106 = 1,000,000 x 4.688478 = 4,688,478


More Scientific Notation Examples

4,688,4764,688,4774,688,4794,688,480
4.688476 x 1064.688477 x 1064.688479 x 1064.68848 x 106

Explore more about the number 4,688,478:


Ask a Question