Question

part 2 perform the following calculations. report your answer with the correct number of significant figures (this means no more than the least in the original numbers). calculated final answer (in sig figs) 13) 5.0×2.01 = 10.05 → 10.1 14) 12×10.5 = 126 → 130 15) 0.03×1.187 = 0.03561 → 0.04 16) 100 m÷15 s = 6.66 → 7 (guess what? you calculate 17) 268.01 g÷317 cm³ = 0.8 → 1 (guess what? you calculate 18) 120 watts÷3.65 s = 32.87671233 → 33 (guess what? you calculate

Explanation:

Step1: Identify significant - figures rule for multiplication/division

In multiplication and division, the result should have the same number of significant figures as the number with the least significant figures in the values being multiplied or divided.

Step2: Solve 13) $5.0\times2.01$

$5.0$ has 2 significant figures and $2.01$ has 3 significant figures. $5.0\times2.01 = 10.05$. Rounding to 2 significant figures gives $10.1$.

Step3: Solve 14) $12\times10.5$

$12$ has 2 significant figures and $10.5$ has 3 significant figures. $12\times10.5=126$. Rounding to 2 significant figures gives $130$.

Step4: Solve 15) $0.03\times1.187$

$0.03$ has 1 significant figure and $1.187$ has 4 significant figures. $0.03\times1.187 = 0.03561$. Rounding to 1 significant figure gives $0.04$.

Step5: Solve 16) $100\ m\div15\ s$

$100$ has 1 significant figure (assuming it's a measured value with uncertainty) and $15$ has 2 significant figures. $100\div15\approx6.66\cdots$. Rounding to 1 significant figure gives $7$.

Step6: Solve 17) $268.01\ g\div317\ cm^{3}$

$268.01$ has 5 significant figures and $317$ has 3 significant figures. $268.01\div317\approx0.845457$. Rounding to 3 significant figures gives $0.845$. (There seems to be an error in the original answer as it was rounded incorrectly to 1 significant figure).

Step7: Solve 18) $120\ Watts\div3.65\ s$

$120$ has 2 significant figures (assuming it's a measured value) and $3.65$ has 3 significant figures. $120\div3.65\approx32.8767$. Rounding to 2 significant figures gives $33$.

Answer:

1. $10.1$
2. $130$
3. $0.04$
4. $7$
5. $0.845$
6. $33$