Q: How is the number 689,180 written in Scientific Notation?

 A: 6.8918 x 105

Why is 689,180 written as 6.8918 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 689,180 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: 689,180
  • New Number: 6.89180

Step 2

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

New Number: 6.89180
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 = 6.8918 (Please notice any zeroes on the end have been removed)

b = 5

Now the whole thing:

6.8918 x 105

Step 4

Check your work:

105 = 100,000 x 6.8918 = 689,180


More Scientific Notation Examples

689,178689,179689,181689,182
6.89178 x 1056.89179 x 1056.89181 x 1056.89182 x 105

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