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4 June, 08:09

Round off each of the following to the number of significant figures given in brackets.

(a) 289.0456 (4 s. 1)

(b) 1.236 (3 s. f.)

(c) * 0.06573 (2 s.)

(d) * 2408 (2 s. f.)

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Answers (1)
  1. 4 June, 08:12
    0
    a) 289

    b) 1.24

    c) 0.066

    d) 2400

    Step-by-step explanation:

    (a) 289.0456 (4 s. 1)

    We want to round, 289.0456 to four significant figures.

    We start counting from 2 because it is a significant digit and end on zero.

    Therefore 289.0456=289.0 to 4 s. f

    Or 289

    (b) 1.236 (3 s. f.)

    We want to round 1.236 to three significant figures.

    We start counting from 1 and end on 3, but we need to run up because 6≥5

    Therefore 1.236=1.24 to three significant figures.

    (c) 0.06573 (2 s.)

    To round 0.06573 to two significant figures, we need to start counting from the first non-zero digit, which is 6 and end on 5 and then round up because 7≥5

    0.06573=0.066 to 2 s. f

    (d) * 2408 (2 s. f.)

    To round 2408 to two significant figures, we start counting from 2 and end on 4.

    We round off because 0<5

    In this case we need to replace all digits after 4 with zeros.

    2408=2400 to 2 s. f
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