Answer and explanation:
a) Given : From the set [tex]\{-8, -\frac{2}{3} , 5i, \sqrt{(-9)}, \sqrt 2, 0, 3+3i, -2.35, 7\}[/tex]
To find : List the numbers ?
Solution :
i) List the set of Natural Numbers
[tex]\{7\}[/tex]
ii) List the set of Integers
[tex]\{-8,0,7\}[/tex]
iii) List of the set of Rational Numbers
[tex]\{-8,0,-\frac{2}{3},7\}[/tex]
iv) List the set of Real Numbers
[tex]\{-8, -\frac{2}{3} ,\sqrt 2, 0, -2.35, 7\}[/tex]
b) Given : Expression [tex]-30\div -6 - (-12 + 8)-4\times 3[/tex]
To find : Solve the expression ?
Solution :
Expression [tex]-30\div -6 - (-12 + 8)-4\times 3[/tex]
Applying BODMAS,
Solve the bracket,
[tex]=-30\div -6 - (-4)-4\times 3[/tex]
[tex]=-30\div -6+4-4\times 3[/tex]
Solve the division,
[tex]=5+4-4\times 3[/tex]
Solve the multiplication,
[tex]=5+4-12[/tex]
Solve the addition,
[tex]=9-12[/tex]
Solve the subtraction,
[tex]=-3[/tex]
Therefore, [tex]-30\div -6 - (-12 + 8)-4\times 3=-3[/tex]
