Question

a) From the set {-8, -2/3, 5i, √(-9), √2, 0, 3+3i, -2.35, 7}

i) List the set of Natural Numbers

ii) List the set of Integers

iii) List of the set of Rational Numbers

vi) List the set of Real Numbers (4 marks)

b) i) -30 ÷ -6 - (-12 + 8) – 4 x 3 =

Answer 1

Answer and explanation:

a) Given : From the set $\{-8, -\frac{2}{3} , 5i, \sqrt{(-9)}, \sqrt 2, 0, 3+3i, -2.35, 7\}$

To find : List the numbers ?

Solution :

i) List the set of Natural Numbers

$\{7\}$

ii) List the set of Integers

$\{-8,0,7\}$

iii) List of the set of Rational Numbers

$\{-8,0,-\frac{2}{3},7\}$

iv) List the set of Real Numbers

$\{-8, -\frac{2}{3} ,\sqrt 2, 0, -2.35, 7\}$

b) Given : Expression $-30\div -6 - (-12 + 8)-4\times 3$

To find : Solve the expression ?

Solution :

Expression $-30\div -6 - (-12 + 8)-4\times 3$

Applying BODMAS,

Solve the bracket,

$=-30\div -6 - (-4)-4\times 3$

$=-30\div -6+4-4\times 3$

Solve the division,

$=5+4-4\times 3$

Solve the multiplication,

$=5+4-12$

Solve the addition,

$=9-12$

Solve the subtraction,

$=-3$

Therefore, $-30\div -6 - (-12 + 8)-4\times 3=-3$