1.3.1.1: Exercises
- Page ID
- 82829
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Section 1.3.1.1 Exercises
- Find a whole number that is not a counting number.
- Find an integer that is not a whole number.
- Find a whole number that is not an integer.
- Find an integer that is not negative.
- Find a rational number that is not an integer.
- Find a whole number that is not rational.
- Identify which sets of numbers include the following numbers: counting numbers, whole numbers, integers, or none of the above
- \( \dfrac{5}{8}\)
- 0
- \(\sqrt{2} \)
- -4
- \( \sqrt{-5} \)
- True or False: I can buy \(\pi\) pencils.
- Between what two integers is each number below?
- \( \sqrt{20} \)
- -\( 10\)
- \(\sqrt{-15} \)
- Approximate the value of \( \sqrt{5} \) by rounding to the nearest hundredth.
- Approximate the value of \( -\sqrt{12}\) by rounding to one decimal place.
- Determine which of these statements are true, if any.
- \(-3 > 0\)
- \(-(-3) > 0\)
- \( |-3| > 0\)
- \(-|3| > 0\)
- \(-|-3| > 0\)
- \(|-3| > -|-3|\)
- Evaluate
- -2 + -5
- -7 + 4
- 5 + -11
- 5 – 14
- -2 – 8
- 8 – (-8)
- -7 – (-2)
- (-44)(-2)
- 6 (-3)
- (-6.239)(-100)
- (-4)(6.25)
- \(\dfrac{-3}{8} -\dfrac{5}{9}\)
- -32 ÷ 8
- 12 ÷ (-4)
- \(\dfrac{1}{3} \div -3\)
- \(-3 \div \dfrac{1}{3}\)
- 0.3(-0.4)
- 3.2(-5)
- -2.4 ÷ (-6)
- -4 \(\dfrac{2}{3} \div \dfrac{-7}{12}\)
- Without actually doing the calculations, determine the sign of the product.
- (-5)(-3)( 6)( -7)
- (-7)\(^4\)
- (6)(-4)(7)(-5)(3)
- (-5)(-6)(0)(-3)(4)(-7)(-2)