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4 February, 18:37

How many significant figures should the result have 2.524 g (5.1 • 106 g)

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  1. 4 February, 19:40
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    Two

    Step-by-step explanation:

    In multiplication problems, your answer can have no more significant figures than the number with the fewest significant figures.

    Start with the calculation inside parentheses:

    5.1 * 10.6 = 54.060 000 00 (by my calculator)

    There are three significant figures in 10.6, but only two in 5.1.

    In this were a number you had to report, you would round to two significant figures and report the answer as 54.

    54.060 000 00 → 54 (to two significant figures)

    However, you must multiply this intermediate answer by 2.524.

    Therefore, you multiply the number in the calculator by 2.524 and get

    54.060 000 00 * 2.524 = 136.447 4400

    NOW, you round to two significant figures and report the answer as 140.
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