Q: How is the number 25,188,781 written in Scientific Notation?

 A: 2.5188781 x 107

Why is 25,188,781 written as 2.5188781 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 25,188,781 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: 25,188,781
  • New Number: 2.5188781

Step 2

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

New Number: 2.5188781
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 = 2.5188781

b = 7

Now the whole thing:

2.5188781 x 107

Step 4

Check your work:

107 = 10,000,000 x 2.5188781 = 25,188,781


More Scientific Notation Examples

25,188,77925,188,78025,188,78225,188,783
2.5188779 x 1072.518878 x 1072.5188782 x 1072.5188783 x 107

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