Q: How is the number 254,670,124 written in Scientific Notation?

 A: 2.54670124 x 108

Why is 254,670,124 written as 2.54670124 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 254,670,124 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: 254,670,124
  • New Number: 2.54670124

Step 2

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

New Number: 2.54670124
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 = 2.54670124

b = 8

Now the whole thing:

2.54670124 x 108

Step 4

Check your work:

108 = 100,000,000 x 2.54670124 = 254,670,124


More Scientific Notation Examples

254,670,122254,670,123254,670,125254,670,126
2.54670122 x 1082.54670123 x 1082.54670125 x 1082.54670126 x 108

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