Q: How is the number 654,344,110 written in Scientific Notation?

 A: 6.5434411 x 108

Why is 654,344,110 written as 6.5434411 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 654,344,110 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: 654,344,110
  • New Number: 6.54344110

Step 2

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

New Number: 6.54344110
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 = 6.5434411 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

6.5434411 x 108

Step 4

Check your work:

108 = 100,000,000 x 6.5434411 = 654,344,110


More Scientific Notation Examples

654,344,108654,344,109654,344,111654,344,112
6.54344108 x 1086.54344109 x 1086.54344111 x 1086.54344112 x 108

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