Area of Object If Measurements in Decimals

[Waltur]

Hello,

If I have a square shaped object that has a Length of 0.005 units then the Area is actually less than the length of one the sides? (Area = Length Squared, correct?)

For example, 0.005 squared equals 0.000025.

I'm confused by the concept of squaring a decimal value since multiplying a decimal with another decimal results in a smaller number.

Would 0.000025 really be the Area of a squared shaped object with 0.005 as the Length?

I have a hard time visualizing this. Thank you.

 

[masters]

Hello,

If I have a square shaped object that has a Length of 0.005 units then the Area is actually less than the length of one the sides? (Area = Length Squared, correct?)

For example, 0.005 squared equals 0.000025.

I'm confused by the concept of squaring a decimal value since multiplying a decimal with another decimal results in a smaller number.

Would 0.000025 really be the Area of a squared shaped object with 0.005 as the Length?

I have a hard time visualizing this. Thank you.

Hi Waltur,

Your answer is correct if you attach some square units of dimension to it.

Visualize a square 1 inch on all sides.

Its area is 1 square inch.

Now divide it into 4 equal squares. Each side of the smaller square is .5 inches. Its area is .25 square inches.

Add the 4 smaller squares and you have 1 square inch.

I think you are confusing linear measure and square measure.
Linear and square units of measure are used to measure two different things. Linear units measures distance while square units measures surface area.