Q: How is the number 3,198 written in Scientific Notation?

 A: 3.198 x 103

Why is 3,198 written as 3.198 x 103 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 3,198 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: 3,198
  • New Number: 3.198

Step 2

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

New Number: 3.198
Decimal Count: 123

There are 3 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 = 3.198

b = 3

Now the whole thing:

3.198 x 103

Step 4

Check your work:

103 = 1,000 x 3.198 = 3,198


More Scientific Notation Examples

3,1963,1973,1993,200
3.196 x 1033.197 x 1033.199 x 1033.2 x 103

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