Q: How is the number 318,402 written in Scientific Notation?

 A: 3.18402 x 105

Why is 318,402 written as 3.18402 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 318,402 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: 318,402
  • New Number: 3.18402

Step 2

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

New Number: 3.18402
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 = 3.18402

b = 5

Now the whole thing:

3.18402 x 105

Step 4

Check your work:

105 = 100,000 x 3.18402 = 318,402


More Scientific Notation Examples

318,400318,401318,403318,404
3.184 x 1053.18401 x 1053.18403 x 1053.18404 x 105

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