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Express the following to a. 1d.p, b. 2d.p, c. 3d.p. A. 9.23564 B. 12.1464 C. 0.014500081 D. 0.92453 E. 296.0632 2. Find 0.557 x 83.12 to 2d.p 3. A contractor used 0.55...

Mathematics

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1. Express the following to a. 1 d.p. b. 2 d.p. c. 3 d.p.

  • A. 9.23564

    • 1 d.p.: The second decimal digit is 3, so we round down. 9.29.2
    • 2 d.p.: The third decimal digit is 5, so we round up. 9.249.24
    • 3 d.p.: The fourth decimal digit is 6, so we round up. 9.2369.236
  • B. 12.1464

    • 1 d.p.: The second decimal digit is 4, so we round down. 12.112.1
    • 2 d.p.: The third decimal digit is 6, so we round up. 12.1512.15
    • 3 d.p.: The fourth decimal digit is 4, so we round down. 12.14612.146
  • C. 0.014500081

    • 1 d.p.: The second decimal digit is 0, so we round down. 0.00.0
    • 2 d.p.: The third decimal digit is 1, so we round down. 0.010.01
    • 3 d.p.: The fourth decimal digit is 5, so we round up. 0.0150.015
  • D. 0.92453

    • 1 d.p.: The second decimal digit is 2, so we round down. 0.90.9
    • 2 d.p.: The third decimal digit is 4, so we round down. 0.920.92
    • 3 d.p.: The fourth decimal digit is 5, so we round up. 0.9250.925
  • E. 296.0632

    • 1 d.p.: The second decimal digit is 6, so we round up. 296.1296.1
    • 2 d.p.: The third decimal digit is 3, so we round down. 296.06296.06
    • 3 d.p.: The fourth decimal digit is 2, so we round down. 296.063296.063

2. Find 0.557×83.1210.557 \times 83.121 to 2 d.p.

  1. Multiply the given numbers.

    0.557×83.121=46.3072970.557 \times 83.121 = 46.307297
  2. Round the product to 2 decimal places.

    The third decimal digit is 7, so we round up the second decimal digit.

    46.3146.31

    The final answer is 46.31\boxed{\text{46.31}}.

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