(a). From the set of numbers { -3, 0, √19, √-9, 1/3, 0.6, 7i }; identify the number/s which is/are: (i). Natural number (ii). Whole number (iii). Integer (iv). Rational number (v). Irrational number (vi). Imaginary number (vii). Real number
(a). From the set of numbers { -3, 0, √19, √-9, 1/3, 0.6, 7i }; identify the number/s which is/are:
(i). Natural number
(ii). Whole number
(iii). Integer
(iv). Rational number
(v). Irrational number
(vi). Imaginary number
(vii). Real number
(b). For each of the statements, state whether it is true or false and give a reason or an example to justify your answer:
(i). All integers are natural numbers.
(ii). All natural numbers are whole numbers.
(iii). All whole numbers are integers.
(iv). All real numbers are rational numbers.
(b). For each of the statements, state whether it is true or false and give a reason or an example to justify your answer:
(i). All integers are natural numbers.
(ii). All natural numbers are whole numbers.
(iii). All whole numbers are integers.
(iv). All real numbers are rational numbers.
Find the exact value of the following (show all your working clearly and express all fractions, in your final answers, in their lowest terms):
(i). -12(3) + 4(3) - 1(-3)
3(-5) - 5(2) - 9(0)
(ii). 6 1/3 - 31/9 +1 1/5
(iii). 3 1/7 + 4 2/9 ÷ 31/6
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