Properties of rational number

1. Solve the following using the commutative property:

a) 5 + 3       

 b) 2.5 + 1.6       

c) `frac{1}{3}` +  `frac{1}{6}`   

d) `frac{2}{3} + frac{3}{4}`

e) 8.2 x 3.4 

f) `frac{3}{5}` + `frac{10}{11}`

2. Solve the following using the associative property:

a) 81 + 22 + 109   

b) 5 x 3 x 4.2   

c) `frac{2}{3}` + `frac{3}{4}` + `frac{1}{2}`

3. Solve using the distributive law:

a) `frac{3}{4}` x `frac{2}{5}` + `frac{3}{4}` x `frac{3}{5}`

b) `frac{2}{7}` x `frac{1}{6}` + `frac{3}{6}` x `frac{2}{7}`

c) `frac{1}{4}\left(\frac{8}{15}+\frac{2}{15}\right)`

d) `frac{2}{3}\left(\frac{2}{5}+\frac{1}{3}\right)`

4. Arrange the following in ascending order of magnitude:

a) `frac{5}{8}` , `frac{2}{3}` , `frac{5}{12}` and `frac{7}{24}`

b) `frac{1}{2}` , `frac{2}{3}` , `frac{3}{8}` and `frac{3}{10}`

c) `frac{1}{6}` , `frac{1}{3}` , `frac{1}{2}` and `frac{1}{12}`

5. Arrange the following in descending order of  magnitude:

a) `frac{5}{8}` , `frac{7}{36}` , `frac{5}{12}` and `frac{7}{24}`

b) `frac{1}{2}` , `frac{2}{5}` , `frac{7}{10}` and `frac{3}{20}`

c) `frac{1}{5}` , `frac{1}{3}` , `frac{1}{15}` and `frac{1}{2}`