Q: How is the number 82,120 written in Scientific Notation?

 A: 8.212 x 104

Why is 82,120 written as 8.212 x 104 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 82,120 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: 82,120
  • New Number: 8.2120

Step 2

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

New Number: 8.2120
Decimal Count: 1234

There are 4 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 = 8.212 (Please notice any zeroes on the end have been removed)

b = 4

Now the whole thing:

8.212 x 104

Step 4

Check your work:

104 = 10,000 x 8.212 = 82,120


More Scientific Notation Examples

82,11882,11982,12182,122
8.2118 x 1048.2119 x 1048.2121 x 1048.2122 x 104

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