What are significant digits? How can you tell whether zeros are significant?

Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning. All jabbers are works, so there must be no works that do not jabber.

Simplify. Write the answer in scientific notation.

$$\frac{0.0089}{500,000,000}$$

An NFL quarterback is offered a new contract paying him $\$ 20$ million per year. How long would it take him at this rate to earn $\$ 1$ billion? a. $5$ years b. $50$ years c. $100$ years

Write each number in scientific notation. 0.0000158

Write each of the following numbers in scientific notation.

$315,000$

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

A hose fills a hot tub at a rate of $4.5$ gallons per minute. How many minutes will it take to fill a $400$ -gallon hot tub?

Distinguish between absolute and relative change. Give an example that illustrates how we calculate a relative change.

Mathematics requires precision, so approximations should never be used. Decide whether the above statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.

A toll collector on a highway receives $2 for cars and$3 for buses. At the end of a 1-hour period, she collected $32. How many cars and buses passed through the toll booth during that period? List all possible solutions.

Summarize the strategic hints for problem solving given in this unit, and give an example of the meaning of each one.

One cubic foot holds $7.48$ gallons of water, and $14 gallons of water weighs$8.33$pounds. How much do$6$ cubic feet of water weigh in pounds? In tons? (Answer the question involving conversion within the USCS system.)

The price of tuition has tripled since my parents went to school that's a $200 \%$ increase in price! Decide whether the above statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.