Q: How is the number 122,784 written in Scientific Notation?

 A: 1.22784 x 105

Why is 122,784 written as 1.22784 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 122,784 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: 122,784
  • New Number: 1.22784

Step 2

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

New Number: 1.22784
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 = 1.22784

b = 5

Now the whole thing:

1.22784 x 105

Step 4

Check your work:

105 = 100,000 x 1.22784 = 122,784


More Scientific Notation Examples

122,782122,783122,785122,786
1.22782 x 1051.22783 x 1051.22785 x 1051.22786 x 105

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