Q: How is the number 83,128,824 written in Scientific Notation?

 A: 8.3128824 x 107

Why is 83,128,824 written as 8.3128824 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 83,128,824 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: 83,128,824
  • New Number: 8.3128824

Step 2

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

New Number: 8.3128824
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 = 8.3128824

b = 7

Now the whole thing:

8.3128824 x 107

Step 4

Check your work:

107 = 10,000,000 x 8.3128824 = 83,128,824


More Scientific Notation Examples

83,128,82283,128,82383,128,82583,128,826
8.3128822 x 1078.3128823 x 1078.3128825 x 1078.3128826 x 107

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