Q: How is the number 4,633,153 written in Scientific Notation?

 A: 4.633153 x 106

Why is 4,633,153 written as 4.633153 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 4,633,153 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: 4,633,153
  • New Number: 4.633153

Step 2

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

New Number: 4.633153
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 = 4.633153

b = 6

Now the whole thing:

4.633153 x 106

Step 4

Check your work:

106 = 1,000,000 x 4.633153 = 4,633,153


More Scientific Notation Examples

4,633,1514,633,1524,633,1544,633,155
4.633151 x 1064.633152 x 1064.633154 x 1064.633155 x 106

Explore more about the number 4,633,153:


Ask a Question