Question

section 3: make the following calculations and apply the significant - figure rules. (2 points each)
a) 47.1 + 24.32
b) 0.125 + 5.001
c) 5000 x 10.
d) 5000. x 10.
e) 45.6 / 2.1
f) 31.0 / 2.0

Explanation:

Step1: Calculate A) $47.1 + 24.32$

$47.1+24.32 = 71.42$. Since $47.1$ has one - decimal place, the result should be rounded to one - decimal place. So the answer is $71.4$.

Step2: Calculate B) $0.125+5.001$

$0.125 + 5.001=5.126$. Since $0.125$ has three decimal places, the result should be rounded to three decimal places. So the answer is $5.126$.

Step3: Calculate C) $5000\times10$

$5000\times10 = 50000$. In scientific - notation, it can be written as $5\times10^{4}$. In terms of significant figures, if we assume $5000$ has one significant figure (if it's an approximate number), the result is $5\times10^{4}$. If we assume $5000$ has four significant figures, the result is $5.000\times 10^{4}$. Here, if we consider the multiplication of a non - scientific - notation number, the result is $50000$.

Step4: Calculate D) $5000.\times10$

$5000.\times10=50000$. Since $5000.$ has four significant figures, the result in scientific notation with four significant figures is $5.000\times 10^{4}$.

Step5: Calculate E) $45.6\div2.1$

$45.6\div2.1=\frac{45.6}{2.1}\approx21.714$. Since $2.1$ has two significant figures, the result should be rounded to two significant figures. So the answer is $22$.

Step6: Calculate F) $31.0\div2.0$

$31.0\div2.0=\frac{31.0}{2.0}=15.5$. Since $2.0$ has two significant figures, the result should be rounded to two significant figures. So the answer is $16$.

Answer:

A. $71.4$
B. $5.126$
C. $50000$
D. $5.000\times 10^{4}$
E. $22$
F. $16$