Q: How is the number 654,055,658 written in Scientific Notation?

 A: 6.54055658 x 108

Why is 654,055,658 written as 6.54055658 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 654,055,658 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: 654,055,658
  • New Number: 6.54055658

Step 2

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

New Number: 6.54055658
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 = 6.54055658

b = 8

Now the whole thing:

6.54055658 x 108

Step 4

Check your work:

108 = 100,000,000 x 6.54055658 = 654,055,658


More Scientific Notation Examples

654,055,656654,055,657654,055,659654,055,660
6.54055656 x 1086.54055657 x 1086.54055659 x 1086.5405566 x 108

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