JAMB 2002 · UME · Q3

Evaluate 0.21×0.072×0.00540.006×1.68×0.063\dfrac{0.21 \times 0.072 \times 0.0054}{0.006 \times 1.68 \times 0.063} correct to four significant figures.

Worked solution (try it first)
  1. Cancel before multiplying: 0.210.063=103\frac{0.21}{0.063} = \frac{10}{3}, 0.0721.68=370\frac{0.072}{1.68} = \frac{3}{70} and 0.00540.006=0.9\frac{0.0054}{0.006} = 0.9.
  2. Multiply: 103×370=17\frac{10}{3} \times \frac{3}{70} = \frac17, and 17×0.9=970\frac17 \times 0.9 = \frac{9}{70}.
  3. 970=0.128571…\frac{9}{70} = 0.128571\ldots.
  4. The fifth significant figure is 7, so round up: 0.1286, option A.

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