How many inches are in a meter (m)? Conversion factors: 2.5 cm = 1 inch, and 100 cm = 1 m Show all work using dimensional analysis
To convert meters (m) to inches, we can use the conversion factors 2.5 cm = 1 inch and 100 cm = 1 m.
First, we need to convert the meters to centimeters using the given conversion factor:
1 m * 100 cm / 1 m = 100 cm
Now, we can convert centimeters to inches using the other given conversion factor:
100 cm * 1 inch / 2.5 cm = 40 inches
Therefore, there are 40 inches in a meter.
To convert meters to inches, we can use the conversion factors provided:
1 m = 100 cm (given conversion factor)
1 inch = 2.5 cm (given conversion factor)
We can set up the conversion factor as a fraction:
(1 inch / 2.5 cm) * (100 cm / 1 m)
To convert meters to inches, we multiply the value in meters by this fraction:
meters * (1 inch / 2.5 cm) * (100 cm / 1 m)
Simplifying the expression, we get:
meters * (1 inch / 2.5 cm) * (100)
The cm unit cancels out in the numerator and denominator, leaving us with:
meters * (1 inch / 2.5) * (100)
Simplifying further, we have:
meters * (1 inch * 100) / (2.5)
Combining terms, we get:
(meters * 100 inches) / 2.5
Finally, we can simplify this expression to determine the conversion:
40 inches/meter
Therefore, there are 40 inches in a meter.