Q: How is the number 357,103 written in Scientific Notation?

 A: 3.57103 x 105

Why is 357,103 written as 3.57103 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 357,103 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: 357,103
  • New Number: 3.57103

Step 2

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

New Number: 3.57103
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 = 3.57103

b = 5

Now the whole thing:

3.57103 x 105

Step 4

Check your work:

105 = 100,000 x 3.57103 = 357,103


More Scientific Notation Examples

357,101357,102357,104357,105
3.57101 x 1053.57102 x 1053.57104 x 1053.57105 x 105

Explore more about the number 357,103:


Ask a Question