The following chart gives average water usage for various activities for one person for one day.

Use	Average Amount
Taking bath	110 L(liters)
Taking shower	75 L
Flushing toilet	22 L
Washing hands, face	7 L
Getting a drink	1 L
Brushing teeth	1 L
Doing dishes (one meal)	30 L
Cooking (one meal)	18 L

a. Use the chart to calculate how much water you use each day. b. An average American uses approximately 200 L of water per day and there are approximately 310,000,000 people in the United States. On average approximately how much water is used in the United States per day?

Janet computed her addition problems by placing the partial sums as shown here:

$$\begin{array}{r}768\\+647\\\hline15\\10\\13\\\hline 1415\end{array}$$

Use this method to work the following addition problems.
a.

$$\begin{array}{r}987\\+356 \\\hline \end{array}$$

b.

$$\begin{array}{r}415\\+79\\\hline \end{array}$$

Which of the following sets are closed under addition? If a set is not closed under addition explain why not.
a. B = {0}
b. T = {$3n|n\in W$}
c. N = {1, 2, 3, 4, 5, ..... }
d. V = {3, 5, 7}
e. A = {$x|x\in W$ and $x>10$}
f. C = {0, 1}

Describe all pairs of whole numbers whose sum and product are the same.

What is the fewest number of base-three blocks needed to represent 51?

Perform the following multiplications using the lattice multiplication algorithm:
a.

$$\begin{array}{r}728\\\times94\\\hline \end{array}$$

b.

$$\begin{array}{r}306\\\times24\\\hline \end{array}$$

What is a motor unit?

Explain what is meant by the term excitation-contraction coupling.

In the Roman numeral system explain
(a) when you add values,
(b) when you subtract values, and
(c) when you multiply values.
Give an example to illustrate each case.

Is the front-end estimate for addition before adjustment always less than the exact sum? Explain why or why not.

How many digits are there in the standard form of $5250\cdot10^{15}$?

Janet worked her addition problems by placing the partial sums as shown here:

$$\begin{array}{r}569 \\+645 \\\hline14\\10\\11\\\hline1214 \end{array}$$

a. Use this method to work the following addition problems.

i.

$$\begin{array}{r}687 \\+549 \\\hline \end{array}$$

ii.

$$\begin{array}{r}359 \\+673 \\\hline \end{array}$$

b. Explain why this algorithm works.

Perform the following multiplications using the lattice multiplication algorithm.
a.

$$\begin{array}{r}327\\\times43\\\hline \end{array}$$

b.

$$\begin{array}{r}2618 \\\times137\\\hline \end{array}$$

Explain whether the following sets are closed under addition.
a. B = {0, 1}
b. T = {0, 4, 8, 12, 16,.... }
c. F = {5, 6, 7, 8, 9, 10, ......}
d. H = {$x|x\in W$ and $x>100$}