The result of (3.8621 × 1.5630) – 5.98 is properly written as ?

Question

My answer was: 0.0564623. My tutor, who is a chemistry expert, agreed that rounding my answer to 0.056 was correct. However, my instructor insists the correct answer is 0.06. The question was stated exactly as follows: "The result of (3.8621 × 1.5630) – 5.98 is properly written as?" Could someone provide feedback or clarification on this?

Anonymous · Accepted Answer

(3.8621 *1.5630) -5.98 
= (6.0365) -5.98
= 0.0565
= 0.06
Now stage 1 is yo multiply inside parentheses, so you keep the number of sig figs as the least sig figs in one of the multiplicands. That is both have 5 sig figs so we take our answer as 5 sug fugs. Next stage 2 comes and that is to subtract. Look, the subtrahend has three sig figs, and two sig figs after the decimal place, meaning thr meadurement was only precise to the hundreths place. Erstwhile the minuend has precision to thr ten thousandths place. Ergo the result of subtraction can only be guaranteed to br correct to the hunredthds place. Since thr nunber in the thousandths place is 6, and 6>5, round up and record tje answe as above. Please let me know as fast as humanly possible if you are still hsving issues comprehending this answer. Best regards,

Anonymous · Answer

It seems your instructor rounded so that there would be only two numbers after the decimal point.

Anonymous

The result of (3.8621 × 1.5630) – 5.98 is properly written as ?

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