Q: How is the number 58,174 written in Scientific Notation?

 A: 5.8174 x 104

Why is 58,174 written as 5.8174 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 58,174 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: 58,174
  • New Number: 5.8174

Step 2

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

New Number: 5.8174
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 = 5.8174

b = 4

Now the whole thing:

5.8174 x 104

Step 4

Check your work:

104 = 10,000 x 5.8174 = 58,174


More Scientific Notation Examples

58,17258,17358,17558,176
5.8172 x 1045.8173 x 1045.8175 x 1045.8176 x 104

Explore more about the number 58,174:


Ask a Question