Q: How is the number 816,126,265 written in Scientific Notation?

 A: 8.16126265 x 108

Why is 816,126,265 written as 8.16126265 x 108 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 816,126,265 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: 816,126,265
  • New Number: 8.16126265

Step 2

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

New Number: 8.16126265
Decimal Count: 12345678

There are 8 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 = 8.16126265

b = 8

Now the whole thing:

8.16126265 x 108

Step 4

Check your work:

108 = 100,000,000 x 8.16126265 = 816,126,265


More Scientific Notation Examples

816,126,263816,126,264816,126,266816,126,267
8.16126263 x 1088.16126264 x 1088.16126266 x 1088.16126267 x 108

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