Skip to main content
Mathematics LibreTexts

9.4.0: Exercises

  • Page ID
    171748
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

    \( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)

    ( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)

    \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)

    \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)

    \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)

    \( \newcommand{\Span}{\mathrm{span}}\)

    \( \newcommand{\id}{\mathrm{id}}\)

    \( \newcommand{\Span}{\mathrm{span}}\)

    \( \newcommand{\kernel}{\mathrm{null}\,}\)

    \( \newcommand{\range}{\mathrm{range}\,}\)

    \( \newcommand{\RealPart}{\mathrm{Re}}\)

    \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)

    \( \newcommand{\Argument}{\mathrm{Arg}}\)

    \( \newcommand{\norm}[1]{\| #1 \|}\)

    \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)

    \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    \( \newcommand{\vectorA}[1]{\vec{#1}}      % arrow\)

    \( \newcommand{\vectorAt}[1]{\vec{\text{#1}}}      % arrow\)

    \( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vectorC}[1]{\textbf{#1}} \)

    \( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)

    \( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)

    \( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)

    \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

    \(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)

    For the following exercises, determine the most reasonable value for each weight.

    Exercise \(\PageIndex{1}\)

    Aspirin tablet: 300 kg, 300 g, or 300 mg

    Exercise \(\PageIndex{2}\)

    Elephant: 5,000 kg, 5,000 g, or 5,000 mg

    Exercise \(\PageIndex{3}\)

    Baseball: 145 kg, 145 g, or 145 mg

    Exercise \(\PageIndex{4}\)

    Orange: 115 kg, 115 g, or 115 mg

    Exercise \(\PageIndex{5}\)

    Pencil: 6 kg, 6 g, or 6 mg

    Exercise \(\PageIndex{6}\)

    Automobile: 1,300 kg, 1,300 g, or 1,300 mg

    For the following exercises, convert the given weight to the units shown.

    Exercise \(\PageIndex{7}\)

    3,500 g = __________ kg

    Exercise \(\PageIndex{8}\)

    53 g = __________ mg

    Exercise \(\PageIndex{9}\)

    0.02 kg = __________ g

    Exercise \(\PageIndex{10}\)

    200 mg = __________ g

    Exercise \(\PageIndex{11}\)

    2.3 g = _________ mg

    Exercise \(\PageIndex{12}\)

    20 kg = _______ mg

    Exercise \(\PageIndex{13}\)

    2,300 kg = __________ g

    Exercise \(\PageIndex{14}\)

    8,700 mg = _________ g

    Exercise \(\PageIndex{15}\)

    9,730 mg = _______ kg

    Exercise \(\PageIndex{16}\)

    0.0078 kg = __________ g

    Exercise \(\PageIndex{17}\)

    2.34 g = _________ mg

    Exercise \(\PageIndex{18}\)

    234.5 mg = _______ g

    For the following exercises, determine the total weight in the units shown.

    Exercise \(\PageIndex{19}\)

    Three 350 mg tablets ________ g

    Exercise \(\PageIndex{20}\)

    Seven 115 g soap bars ________ kg

    Exercise \(\PageIndex{21}\)

    Six 24 g batteries ________ mg

    Exercise \(\PageIndex{22}\)

    Fifty 3.56 g pennies ________ mg

    Exercise \(\PageIndex{23}\)

    Eight 2.25 kg bags of potatoes ________ g

    Exercise \(\PageIndex{24}\)

    Four 23 kg sacks of flour ________ g

    Exercise \(\PageIndex{25}\)

    Ten 2.5 kg laptops ________ g

    Exercise \(\PageIndex{26}\)

    Seven 1,150 g chickens ________ kg

    Exercise \(\PageIndex{27}\)

    Ninety 4,500 mg marbles ________ kg

    Exercise \(\PageIndex{28}\)

    There are 26 bags of flour. Each bag weighs 5 kg. What is the total weight of the flour?

    Exercise \(\PageIndex{29}\)

    The average female hippopotamus weighs 1,496 kg. The average male hippopotamus weighs 1,814 kg. How much heavier, in grams, is the male hippopotamus than the female hippopotamus?

    Exercise \(\PageIndex{30}\)

    Twelve pieces of cardboard weigh 72 grams. What is the weight of one piece of cardboard?

    Exercise \(\PageIndex{31}\)

    Miguel’s backpack weighs 2.4 kg and Shanayl’s backpack weighs 2,535 grams. Whose backpack is heavier and by how much?

    Exercise \(\PageIndex{32}\)

    A souvenir chocolate bar weighs 1.815 kg. If you share the candy bar equally with two friends, how many grams of chocolate does each person get?

    Exercise \(\PageIndex{33}\)

    You purchase 10 bananas that weigh 50 grams each. If bananas cost $5.50 per kilogram, how much did you pay?

    Exercise \(\PageIndex{34}\)

    A family-size package of ground meat costs $15.75. The package weighs 4.5 kg. What is the cost per gram of the meat?

    Exercise \(\PageIndex{35}\)

    A box containing 6 identical books weighs 7.2 kg. The box weighs 600 g. What is the weight of each book in grams?

    Exercise \(\PageIndex{36}\)

    A 2.316 kg bag of candy is equally divided into 12 party bags. What is the weight of the candy, in grams, in each party bag?

    Exercise \(\PageIndex{37}\)

    A store has 450 kg of flour at the beginning of the day. At the end of the day the store has 341 kg of flour. If flour costs $0.35 per kilogram, how much flour, in dollars, did the store sell that day?

    Exercise \(\PageIndex{38}\)

    A local restaurant offers lobster for $110 per kilogram. What is the price for a lobster that weighs 450 grams?

    Exercise \(\PageIndex{39}\)

    A student’s backpack weighs 575 grams. Their books weigh 3.5 kg. If the student’s weight while wearing their backpack is 58.25 kg, how much does the student weigh in kilograms?

    Exercise \(\PageIndex{40}\)

    The weight of a lamb is 41 kg 340 g. What is the total weight, in kilograms, of four lambs of the same weight?


    9.4.0: Exercises is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

    • Was this article helpful?