Question: 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

Working to 4dp, evaluate

E = 11.65+(1.65)-(1.65)+ (1.65)+

(a) By evaluating each term and then summing,

(b) By ‘nested multiplication’

E = 1 + 1.65(-1 + 1.65(+1.65(-+(1.65))))

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)+

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a b Term 1 165 165 165 1654 E Value 4 dp 10000 16500 13612 07487 03088 02713 so 02476 E 02950 ... View full answer

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