Q: How is the number 82 written in Scientific Notation?

Why is 82 written as 8.2 x 10¹ 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 10^b

Follow the steps below to see how 82 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: 82
• New Number: 8.2

Step 2

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

New Number:	8	.	2
Decimal Count:			1

There are 1 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 10^b

a = 8.2

b = 1

Now the whole thing:

8.2 x 10¹

Step 4

Check your work:

10¹ = 10 x 8.2 = 82

More Scientific Notation Examples