Theory question 101
Fractions, Decimals and Approximation(a) Simplify (0.016 × 0.084)/0.48 leaving your answer in standard form.
(b) Eight wooden poles are to be used for pillars and the lengths of the poles form an Arithmetic Progression (A.P). If the second pole is 2m and the sixth is 5m, give the lengths of the poles, in order.
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Model answer
(a) 0.016 × 0.084 = 0.001344; 0.001344 ÷ 0.48 = 0.0028 = 2.8 × 10−3
(b) a + d = 2 and a + 5d = 5, so 4d = 3, d = 0.75m and a = 1.25m
Lengths: 1.25m, 2m, 2.75m, 3.5m, 4.25m, 5m, 5.75m, 6.5m
Explanation
In (b), subtract the two term equations to find d first.