#### Which of the following is an irrational number?

(a) 0.14

(b) 0.1416

(c) 0.1416

(d) 0.4014001400014…

**Solution:**

(d) 0.4014001400014..

#### Which of the following numbers has non-terminating repeating decimal expansion?

(a) 11/80

(b) 17/160

(c) 63/240

(d) 93/420

**Solution:**

(c) 63/240

**More Solutions:**

- Express the following numbers in the form p/q.
- Classify the following numbers as rational or irrational:
- what can you say about the prime factors of q?
- Insert an irrational number between the following.
- Insert two irrational numbers between 2 and 3.
- Find one rational number between √2 and √3.
- Insert irrational numbers between √5 and √7.
- Simplify the following: (i) √45 – 3√20 + 4√5
- Simplify the following: (i) (5 + √7) (2 + √5).