Q: How is the number 7,205,400 written in Scientific Notation?

 A: 7.2054 x 106

Why is 7,205,400 written as 7.2054 x 106 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 7,205,400 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: 7,205,400
  • New Number: 7.205400

Step 2

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

New Number: 7.205400
Decimal Count: 123456

There are 6 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 = 7.2054 (Please notice any zeroes on the end have been removed)

b = 6

Now the whole thing:

7.2054 x 106

Step 4

Check your work:

106 = 1,000,000 x 7.2054 = 7,205,400


More Scientific Notation Examples

7,205,3987,205,3997,205,4017,205,402
7.205398 x 1067.205399 x 1067.205401 x 1067.205402 x 106

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