Chapter 2: Real Numbers... Assignment 1

Q1(i) -57
Q1(ii) - 1/36 or 0.027 (recurring decimal)

Q2: -16

Q3(i) Statement is correct - both LHS and RHS are -3
Q3(ii) Statement is incorrect - 0 divided by -4 is zero
Q3(iii) Statement is incorrect - since LHS is negative while RHS is +ve
Q3(iv) Statement is correct - both LHS and RHS = 25
Q3(v) Statement is correct - both LHS and RHS are -17
Q3(vi) Statement is incorrect - LHS is 2 while RHS = 8, hence LHS < RHS
Note: LHS is left hand side of the equation given, RHS is the RHS of the equation given.

Q4(i) -1 2/5 or -1.25
Q4(ii) -3
Q4(iii) -88

Q5:  50 x 72 + 25 x 60 = 5100 oranges

Q6(i) False
Sqrt(2) is an irrational number. It cannot be expressed as a fraction whereas 1.41421 is finite, and can be expressed as a fraction 141421/100000

Q6(ii) False
Cuberoot(8) is equal to 2, which can be expressed as a fraction, 2/1. It is therefore a rational number.

Q6(iii) False
Pi is an irrational number as it cannot be expressed as a fraction. However, since it is positive, it can be represented on a number line.

Q6(iv) True
Sqrt(3) is an irrational number. It is therefore neither non-terminating nor non-recurring.

Q7(i) -3, -2, -7/4, -5/3, -3/2, -4/3, 0, 1
Q7(ii) pi < 22/7 < sqrt(2) + sqrt(3) < sqrt(10)

Q8(i) (4 x 6 - 3) x 5
Q8(ii) 144 / (24 / 6)

Q9(i) 32
Q9(ii) 158

Q10: 14 days