What is the order of magnitude estimate for the number of steps you take in an average day?

Make order of magnitude estimates of the following quantities. Explain the assumptions you use in your estimates.

The number of times your heart beats in a day

Use estimation to make the following comparison. Discuss your conclusion. Could a person ride a bike across the United States (New York to California) in a month? If not, how long would it take?

A tax auditor reviewing a tax return looks for several kinds of problems, including (1) mistakes made in entering or calculating numbers on the tax return and (2) places where the taxpayer reported income dishonestly. Discuss whether each problem involves random or systematic errors.

Describe three common ways of expressing the scale of a map or model. How would you show a scale of $1 \mathrm{~cm}=100 \mathrm{~km}$ graphically? How would you describe it as a ratio?

A tax auditor reviewing a tax return looks for several kinds of problems, including $(1)$ mistakes made in entering or calculating numbers on the tax return and $(2)$ places where the taxpayer reported income dishonestly. Discuss whether each problem involves random or systematic errors.

Rewrite the following statements using a number in scientific notation.

My new music player has a capacity of $340$ gigabytes. (Recall that giga means billion.)

A woman bought a horse for $\$ 500$ and then sold it for $\$ 600$. She bought it back for $\$ 700$ and then sold it again for $\$ 800$. How much did she gain or lose on these transactions?

Explain how we can use scaling to put numbers in perspective. Give an example.

What is an order of magnitude estimate? Explain why such an estimate can be useful even though it may be as much as $10$ times too large or too small.

Write the converse, inverse, and contrapositive of the given propositions. Of these four propositions, state which pairs are equivalent.

If Teresa works in Boston, then she works in Massachusetts.

Completa esta parte del diálogo entre Alicia y Teresa, escogiendo la palabra apropiada. ¿Qué pasa en casa de Teresa?

• Teresa: Ay, espera Alicia, ¿te puedo decir (alguien - algo)?

Of the $45$ theater performances that a critic reviewed, $23$ were comedies. She gave favorable reviews to $8$ of the comedies and unfavorable reviews to $12$ of the non-comedies.

a. Make a two-way table summarizing the reviews.

b. Make a Venn diagram from the table in part (a).

c. How many comedies received unfavorable reviews?

d. How many non-comedies received favorable reviews?

What is a set? Describe the use of braces for listing the members of a set.