Q: How is the number 822,674 written in Scientific Notation?

 A: 8.22674 x 105

Why is 822,674 written as 8.22674 x 105 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 822,674 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: 822,674
  • New Number: 8.22674

Step 2

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

New Number: 8.22674
Decimal Count: 12345

There are 5 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 = 8.22674

b = 5

Now the whole thing:

8.22674 x 105

Step 4

Check your work:

105 = 100,000 x 8.22674 = 822,674


More Scientific Notation Examples

822,672822,673822,675822,676
8.22672 x 1058.22673 x 1058.22675 x 1058.22676 x 105

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