Modern Engineering Mathematics 6th Edition Glyn James - Solutions

Evaluate 12.42 × 5.675/15.63, giving your answer as a correctly rounded number with the greatest number of significant figures.
Working to 4dp, evaluate(a) By evaluating each term and then summing,(b) By ‘nested multiplication’Assuming that the number 1.65 is correctly rounded and that all other numbers are exact, obtain error bounds for both answers. E = 11.65+(1.65)-(1.65)+ (1.65)+
Evaluate uv/(u + v) for u = 1.135 and v = 2.332, expressing your answer as a correctly rounded number.
Two possible methods of adding five numbers are (((a + b) + c) + d) + e and (((e + d) + c) + b) + a Using 4dp floating-point arithmetic, evaluate the sumby both methods. Explain any discrepancy in the results. 10(0.1000) + 10(0.1000) 10(0.5000) + 10(0.1667) + 10-(0.4167)
Find (10–2(0.3251) × 10–5(0.2011)) and (10–1(0.2168) ÷ 102(0.3211)) using four-digit floating-point arithmetic.
Find the relative error resulting when four-digit floating-point arithmetic is used to evaluate 104(0.1000) + 102(0.1234) – 104(0.1013).

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