Question

part a: conversions
use the chart below to convert between metric and imperial units.

distance		capacity	mass
1 m = 1.1 yds	1 foot = 30 cm	1 gal = 4 l
1 yd = 0.9 m	1 mi = 1.8 km

• mat2l will focus on capacity and mass conversions.

examples
2.5 l is ______ c.
2.5 x 4 c per l = 10 c
so... 2.5 litres is 10 cups.
77 lbs is ______ kg.
77 ÷ 2.2 lbs per kg = 35 kg.
so... 77 pounds is 35 kilograms.
practice

1. convert each measurement to the unit specified.

a) 20 l = ______ gal
b) 25 gal = ______ l
c) 15 c = ______ l
d) 2.5 l = ______ c
e) 25 kg = ______ lb
f) 130 lb = ______ kg
part b: temperature
in canada, temperature is recorded in degrees celsius (°c).
in the united states, temperature is recorded in degrees fahrenheit (°f).
because canada and the united states are neighbouring countries, understanding the relationship between celsius and fahrenheit is an important skill.

Explanation:

Step1: Use conversion factor for a

Given 1 gal = 4 L, to convert 20 L to gal, divide by 4.
$20\div4 = 5$

Step2: Use conversion factor for b

Given 1 gal = 4 L, to convert 25 gal to L, multiply by 4.
$25\times4=100$

Step3: Use conversion factor for c

Given 1 L = 4 C, to convert 15 C to L, divide by 4.
$15\div4 = 3.75$

Step4: Use conversion factor for d

Given 1 L = 4 C, to convert 2.5 L to C, multiply by 4.
$2.5\times4 = 10$

Step5: Use conversion factor for e

Given 1 kg = 2.2 lbs, to convert 25 kg to lb, multiply by 2.2.
$25\times2.2=55$

Step6: Use conversion factor for f

Given 1 kg = 2.2 lbs, to convert 130 lb to kg, divide by 2.2.
$130\div2.2=\frac{1300}{22}=\frac{650}{11}\approx59.09$

Answer:

a) 5 gal
b) 100 L
c) 3.75 L
d) 10 C
e) 55 lb
f) $\frac{650}{11}\text{ kg}\approx59.09\text{ kg}$