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Question

(a) Which of these is a rational number between 2 and 3: 

1827,73,103,52

(b) Find one rational number that lies between 78 and 12. What is its reciprocal?

[3 MARKS]


Solution

(a) Steps: 1 Mark
     Result: 1 Mark
(b) Answer: 1 Mark


(a) Simplified form of the numbers: 

1827=23

73=213

103=313

52=212

The rational numbers between 2 and 3 are 73 and 52.

(b) Rational number that will lie between 78 and 12 is their average.

78+122=1182=1116

Its reciprocal is 1611.

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