Which of the following units are derived units? Explain.

$$\mathrm{kL} \mathrm{Mg} \mathrm{Gm} \mathrm{kg} / \mathrm{L} \quad \mathrm{mg} / \mathrm{cm}^3$$

Perform the calculation and report the correct answer. $4.55 \times 10^{12} \div 2.00$ : a) $2.28 \times 10^{13}$ d) $2.28 \times 10^{24}$ b) $22.8$ e) $2.28 \times 10^{12}$ c) $2.28 \times 10^6$

A 28-kg child can consume a maximum of 23 children's acetaminophen tablets in an 8-h period without exceeding the safety-limit maximum allowable dose. Given that each children's tablet contains $80 \mathrm{mg}$ of acetaminophen, determine the maximum allowable dose in $\mathrm{mg}$ per pound of body weight for one day. a) $80 \mathrm{mg} / \mathrm{lb}$ b) $90 \mathrm{mg} / \mathrm{lb}$ c) $430 \mathrm{mg} / \mathrm{lb}$ d) $720 \mathrm{mg} / \mathrm{lb}$ e) $3.7 \mathrm{mg} / \mathrm{lb}$

Place the following values in order of decreasing size $15 \mathrm{Mg} \quad 15 \mu \mathrm{g} \quad 15 \mathrm{cg}$

How many cubic centimeters are there in a cubic meter? a) 10 d) $1 \times 10^4$ b) 100 e) $1 \times 10^6$ c) 1000

Reduce $[A | I]$ to find $A^{−1}$. In each case, check your calculations by multiplying the given matrix by the derived inverse.

$$\left[\begin{array}{lll} 1 & 3 & 5 \\ 0 & 1 & 4 \\ 0 & 2 & 7 \end{array}\right]$$

Perform the following calculations and report each answer with the correct number of significant figures: (a) $(925 \times 1.2)+\left(1.559 \times 10^3-1.559 \times 10^2\right)$ (b) $(925 \times 1.200)-\left(1.559 \times 10^3-1.559 \times 10^2\right)$ (c) $(43.6-0.1) \div(23.22)$ (d) $(43.6-0.1) \times(23.22)$ (e) $(23.995+1.1) /(33.29)$

Perform the following calculations and report each answer with the correct number of significant figures: (a) $(4162.95-4161.95) / 2253.8$ (b) $(233.995+1.11) \times 2.44747$ (c) $(2.75 \times 3994)-0.114$ (d) $175.6+\left(1.00 \times 10^6 \div 1.00 \times 10^{-3}\right)$ (e) $1.756 \times 10^9+\left(1.00 \times 10^6 \div 1.00 \times 10^{-3}\right)$

Perform the following calculations and report each answer with the correct number of significant figures: (a) $1 \times 10^6 \div 61.7$ (d) $4099 \div 5001$ (b) $89.377 \times 0.1000$ (e) $7.5 \div 0.0985$ (c) $89.377 \times 0.0001$

Perform the following calculations and report each answer with the correct number of significant figures : (a) $45.8 \times 3$ (d) $5.1 \div 89.3$ (b) $798.61 \times 25.8$ (e) $4005 \times 941$ (c) $3589 \div 1.5$

Perform the following calculations and report each answer with the correct number of significant figures: (a) $102.1+0.0000051$ (d) $1004.1-6.0099$ (b) $654-0.000699$ (e) $31.5-0.599$ (c) $125.1+945.2$

Perform the following calculations and report each answer with the correct number of significant figures: (a) $25.11+0.22$ (d) $3696+0.4228$ (b) $493.750-1.00$ (e) $3696-0.4228$ (c) $595.101+0.2325$

Round each of the following numbers to two significant figures: (a) $1.399 \times 10^6$ (d) $0.00000044211$ (b) $1.06333$ (e) $1.00000044211$ (c) $39,569,321$

Round each of the following numbers to three significant figures: (a) 2983 (d) $34,785.0$ (b) $21.655$ (e) $0.00011136$ (c) $585.311$