Question

1. by definition, one inch is equivalent to 2.54 cm. calculate the following conversions.

a) 5 inches to centimetres
b) 16.5 inches to millimetres
c) 30 cm to inches
d) 1 metre to inches

Explanation:

Step1: Use conversion factor for a)

Since 1 inch = 2.54 cm, for 5 inches, we multiply 5 by 2.54.
$5\times2.54 = 12.7$ cm

Step2: Convert inches to cm then to mm for b)

First, convert 16.5 inches to cm: $16.5\times2.54= 41.91$ cm. Then convert cm to mm. Since 1 cm = 10 mm, $41.91\times10 = 419.1$ mm

Step3: Use inverse - conversion for c)

Since 1 inch = 2.54 cm, to convert 30 cm to inches, we divide 30 by 2.54. $\frac{30}{2.54}\approx11.81$ inches

Step4: Convert 1 metre to cm first then to inches for d)

1 metre = 100 cm. Then, since 1 inch = 2.54 cm, to convert 100 cm to inches, we divide 100 by 2.54. $\frac{100}{2.54}\approx39.37$ inches

Answer:

a) 12.7 cm
b) 419.1 mm
c) Approximately 11.81 inches
d) Approximately 39.37 inches