Q: How is the number 3,254 written in Scientific Notation?

 A: 3.254 x 103

Why is 3,254 written as 3.254 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 3,254 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: 3,254
  • New Number: 3.254

Step 2

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

New Number: 3.254
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 = 3.254

b = 3

Now the whole thing:

3.254 x 103

Step 4

Check your work:

103 = 1,000 x 3.254 = 3,254

More Scientific Notation Examples

3.252 x 1033.253 x 1033.255 x 1033.256 x 103

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