4.2.1: Practice Problems Corequisite N.2
- Page ID
- 148601
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)(1) Which of the following statements is true? How do you know if you are correct?
(i) A trillion is 1010.
(ii) A trillion is 10 billion.
(iii) A trillion is 100 billion.
(iv) A trillion is 1,000 billion.
(2) Equivalent means that numerical expressions are equal to each other. Complete the following table of equivalent percentages, fractions, and decimals. The first row in the table is done for you. Recall that the first numeral to the right of the decimal point is referred to as the “tenths” place while the second numeral to the right of the decimal point is the “hundredths” place.
| Simplified Fraction | Decimal | Percent |
| \(\dfrac{1}{100}\) | 0.01 | 1% |
| \(\dfrac{1}{10}\) | ||
| 0.2 | ||
| 25% | ||
| \(\dfrac{1}{3}\) | round to nearest hundredth | round to the nearest one percent |
| 0.5 | ||
| \(\dfrac{2}{3}\) | round to nearest hundredth | round to the nearest one percent |
| 0.75 |
Estimate the following percentages without using a calculator. Explain your estimation strategy.
(3) 10.1% of 7,800
(4) 0.99% of 83,583
(5) 20% of 5,008,340
(6) Which of the following is the percent estimate of 1/3, rounded to the nearest hundredth of a percent? Explain and/or show your calculation work.
(i) 0.33%
(ii) 3.3%
(iii) 33.3%
(iv) 33.33%
(7) In industrialized countries, such as the United States, up to 30% of the population suffers from foodborne diseases each year. This means that 30 out of ______________ people living in industrialized countries will likely suffer from foodborne diseases each year.
In 1994, an outbreak of illness due to ice cream contaminated with the bacteria salmonella occurred in the U.S. The outbreak affected an estimated 224,000 people.
(8) If the total population in the United States at that time was 260,000,000, which is the best estimate for the percentage of people who were affected? Show your calculation work.
(i) About 0.1%
(ii) About 1%
(iii) About 5%
(iv) About 10%
(v) About 25%
(9) Complete the following statement: _____________ out of every 100,000 people in the United States were affected by the 1994 salmonella outbreak. Round to the nearest whole person.
| Corequisite lessons are also available online. The Practice Problems section of online Corequisite lessons contains similar questions to what you see in your workbook, but the numbers and figures vary. Completing the Practice Problems section online will generate a score. |