Search 73,940 tutors
0 0

# how many centimeters in a 100 yards

need help to calculate the answer for this question by showing all the necessary calculations involved for this problem listed

1 inch = 2.54 cm

1 yard  * 3ft/ 1yrd * 3 ft * 12in / 1ft * 36 in * 2.54 cm/1 inch = 91.44 cm

0.91 meter.

100 Yrd = 100 * 91.44cm = 9144 cm

This way only have to know 2.54 cm =1 inch, and conversion of English units to each other, and don't need to memorize so many numbers  with 2 decimal place of conversion of each English unit to metric unit.
Since 1 inch = 2.54 cm is an EXACT ratio there is an INFINITE number of decimal places in 2.54 cm/in.
Another way to look at the problem:
100 yards=300 feet=3600 inches
1 meter=39.37 inches
3600/39.37=91.44018 meters
100 yards=91.44018 meters
1 meter=100 centimeters
91.44018*100=9144.018 centimeters in 100 yards

1ft = 30.48cm

if we divide both sides by 30.48cm we can see that

30.48cm/1ft = 1

similarly, for yards to feet

1yard = 3ft

and dividing by 1 yard we get

3ft/1yard = 1

Now, we have 100 yards and want to find out how many cm this is equivalent to.  Lets convert the units. If we multiply by something by 1, we do not change the value

100yards = 100yards*1

but since we know

1 = 3ft/1yard

we can do

100yards = 100yards*(3ft/1yard)

100yards = 300ft

Now, to convert 300ft to cm, multiply by 1 in a similar way.

300ft = 300ft*1

and we know

1 = 30.48cm/1ft

so

300ft = 300ft*1 = 300ft*(30.48cm/1ft)

300ft = 9144cm

9144cm in 300ft, and therefore 9144cm in 100 yards.

Everyone knows that the meter's length is rigorously defined. There used to be a platinum bar in Paris with two lines scribed on it that defined the meter. Now I think they use wavelengths of light.

But did you know that the English system of inches, feet, yards, etc., is just as rigorously defined? It is, because the inch is defined to contain EXACTLY 2.54 centimeters.

(100 yards)(3 feet/yard)(12 inches/foot)(2.54 cm/in)

= 9144 centimeters, exactly.