Q: How is the number 164,322,400 written in Scientific Notation?

 A: 1.643224 x 108

Why is 164,322,400 written as 1.643224 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 164,322,400 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: 164,322,400
  • New Number: 1.64322400

Step 2

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

New Number: 1.64322400
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 = 1.643224 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

1.643224 x 108

Step 4

Check your work:

108 = 100,000,000 x 1.643224 = 164,322,400


More Scientific Notation Examples

164,322,398164,322,399164,322,401164,322,402
1.64322398 x 1081.64322399 x 1081.64322401 x 1081.64322402 x 108

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