Converting Square Centimeters To Square Meters And Vice Versa Detailed Lesson Plan

July 14, 2022

Converting square centimeters to square meters and vice versa detailed lesson plan

Answer:

1 $cm^2$ = 0.0001 $m^2$

and

1 $m^2$ = 10,0000 $cm^2$

Step-by-step explanation:

Unit conversion is essential not only in mathematics but also to subjects dealing with physical sciences such as chemistry and physics. Converting one unit to another requires memorization of simple formulas and the knowledge regarding dimensional analysis or also called as Factor-Label Method.

First, we must know the relationship of cm to m.

We know that in 1 meter, there is 100 cm. In Mathematical terms:

1 m = 100 cm or 1m : 100cm

We know that this is a rational expression and can be written in fractional form as $\frac{1m}{100cm}$ .

Next, we can convert 1 $cm^2$ to $m^2$ using factor-label method as shown below

$1 cm^2 * \frac{(1)^2m^2}{(100)^2cm^2} = 0.0001 m^2$

Calculating the conversion from 1 $m^2$ to $cm^2$ we have

$1 ^2 * \frac{(100)^2m^2}{(1)^2cm^2} = 10,000 cm^2$

Take note that what we do to the numerator should also be done to the denominator. Thus, if you square the numerator, the denominator must also be squared. This technique can be used in any units, either metric or english, as long as you know the basic relationship of both units.

If you want to know more about unit conversions, you may visit the following links:

brainly.ph/question/1791681

brainly.ph/question/221105

brainly.ph/question/288672