Q: How is the number 178,224,142 written in Scientific Notation?

 A: 1.78224142 x 108

Why is 178,224,142 written as 1.78224142 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 178,224,142 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: 178,224,142
  • New Number: 1.78224142

Step 2

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

New Number: 1.78224142
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 = 1.78224142

b = 8

Now the whole thing:

1.78224142 x 108

Step 4

Check your work:

108 = 100,000,000 x 1.78224142 = 178,224,142


More Scientific Notation Examples

178,224,140178,224,141178,224,143178,224,144
1.7822414 x 1081.78224141 x 1081.78224143 x 1081.78224144 x 108

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