Q: How is the number 782,810,763 written in Scientific Notation?

 A: 7.82810763 x 108

Why is 782,810,763 written as 7.82810763 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 782,810,763 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: 782,810,763
  • New Number: 7.82810763

Step 2

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

New Number: 7.82810763
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 = 7.82810763

b = 8

Now the whole thing:

7.82810763 x 108

Step 4

Check your work:

108 = 100,000,000 x 7.82810763 = 782,810,763


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782,810,761782,810,762782,810,764782,810,765
7.82810761 x 1087.82810762 x 1087.82810764 x 1087.82810765 x 108

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