Q: How is the number 65,413,666 written in Scientific Notation?

 A: 6.5413666 x 107

Why is 65,413,666 written as 6.5413666 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 65,413,666 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: 65,413,666
  • New Number: 6.5413666

Step 2

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

New Number: 6.5413666
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 = 6.5413666

b = 7

Now the whole thing:

6.5413666 x 107

Step 4

Check your work:

107 = 10,000,000 x 6.5413666 = 65,413,666


More Scientific Notation Examples

65,413,66465,413,66565,413,66765,413,668
6.5413664 x 1076.5413665 x 1076.5413667 x 1076.5413668 x 107

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