Q: How is the number 49,630 written in Scientific Notation?

 A: 4.963 x 104

Why is 49,630 written as 4.963 x 104 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 49,630 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: 49,630
  • New Number: 4.9630

Step 2

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

New Number: 4.9630
Decimal Count: 1234

There are 4 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 = 4.963 (Please notice any zeroes on the end have been removed)

b = 4

Now the whole thing:

4.963 x 104

Step 4

Check your work:

104 = 10,000 x 4.963 = 49,630


More Scientific Notation Examples

49,62849,62949,63149,632
4.9628 x 1044.9629 x 1044.9631 x 1044.9632 x 104

Explore more about the number 49,630:


Ask a Question