Q: How is the number 82,213,310 written in Scientific Notation?

 A: 8.221331 x 107

Why is 82,213,310 written as 8.221331 x 107 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 82,213,310 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: 82,213,310
  • New Number: 8.2213310

Step 2

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

New Number: 8.2213310
Decimal Count: 1234567

There are 7 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 = 8.221331 (Please notice any zeroes on the end have been removed)

b = 7

Now the whole thing:

8.221331 x 107

Step 4

Check your work:

107 = 10,000,000 x 8.221331 = 82,213,310


More Scientific Notation Examples

82,213,30882,213,30982,213,31182,213,312
8.2213308 x 1078.2213309 x 1078.2213311 x 1078.2213312 x 107

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