Q: How is the number 678,334 written in Scientific Notation?

 A: 6.78334 x 105

Why is 678,334 written as 6.78334 x 105 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 678,334 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: 678,334
  • New Number: 6.78334

Step 2

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

New Number: 6.78334
Decimal Count: 12345

There are 5 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 = 6.78334

b = 5

Now the whole thing:

6.78334 x 105

Step 4

Check your work:

105 = 100,000 x 6.78334 = 678,334


More Scientific Notation Examples

678,332678,333678,335678,336
6.78332 x 1056.78333 x 1056.78335 x 1056.78336 x 105

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