1.3 Reinforcement
1.3.1 Types of numbers
➤➤
25
➤A.Say what you can about the type and nature of the following numbers:
(i) 2 (ii) − 3 (iii) 11(iv) 21 (v) −0(vi)2
3(vii)5
2(viii) 12
5(ix) −3
7(x)18
9(xi) 0.0 (xii) 0.2(xiii) −0.31 (xiv) 6.3 (xv)√
3
(xvi) 3π (xvii) e (xviii) e^2
(xix) −√
2 (xx) −1.371(eis the base of natural logs – see Chapter 4)
B.Say all you can about the following expressions(i) 0× 3 (ii)2
0(iii) 0− 2(iv)0
− 1(v)0 + 2
0(vi) 0^4(vii) 0×1
0(viii) − 1 × 0 +0
2(ix)3 × 0
0(x) 4^0 (xi) 0! (xii)4!
0!1.3.2 Use of inequality signs
➤➤
27➤A.Using inequality signs, order all of the numbers in Q1.3.1A.
B.Supposea,bandcare three non-zero positive numbers satisfying
a<b≤cWhat can you say about:(i) a^2 ,b^2 ,c^2 (ii)1
a,1
b,1
c(iii) a+b,2c(iv) −a,−b,−c (v)√
a,√
b,√
c?