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Evaluate the following to 3.S.F (a) 47.2x0.8789x0.00786 (b) 0.8092x \/0.0657 (2 marks) 2. Use tables to evaluate (a) 23.47 x \/0.3432 (C 3.76)2 (b) \/282.3x4.809 \/ 0.8702x(1.2)4

Mathematics

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Step-by-step solution

2 steps
  1. Multiply the given numbers.

    47.2×0.8789×0.00786=0.325907908847.2 \times 0.8789 \times 0.00786 = 0.3259079088
  2. Round the result to 3 significant figures (3 S.F.).

    The first three significant figures are 3, 2, and 5. The digit following 5 is 9, which is 5 or greater, so we round up the 5 to 6.

    0.3259079088≈0.3260.3259079088 \approx 0.326

    The evaluated value to 3 S.F. is 0.326\boxed{\text{0.326}}.

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