Q: How is the number 34,690 written in Scientific Notation?

 A: 3.469 x 104

Why is 34,690 written as 3.469 x 104 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 34,690 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: 34,690
  • New Number: 3.4690

Step 2

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

New Number: 3.4690
Decimal Count: 1234

There are 4 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 = 3.469 (Please notice any zeroes on the end have been removed)

b = 4

Now the whole thing:

3.469 x 104

Step 4

Check your work:

104 = 10,000 x 3.469 = 34,690


More Scientific Notation Examples

34,68834,68934,69134,692
3.4688 x 1043.4689 x 1043.4691 x 1043.4692 x 104

Explore more about the number 34,690:


Ask a Question