9.4.0: Exercises
- Page ID
- 171748
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)For the following exercises, determine the most reasonable value for each weight.
Aspirin tablet: 300 kg, 300 g, or 300 mg
Elephant: 5,000 kg, 5,000 g, or 5,000 mg
Baseball: 145 kg, 145 g, or 145 mg
Orange: 115 kg, 115 g, or 115 mg
Pencil: 6 kg, 6 g, or 6 mg
Automobile: 1,300 kg, 1,300 g, or 1,300 mg
For the following exercises, convert the given weight to the units shown.
3,500 g = __________ kg
53 g = __________ mg
0.02 kg = __________ g
200 mg = __________ g
2.3 g = _________ mg
20 kg = _______ mg
2,300 kg = __________ g
8,700 mg = _________ g
9,730 mg = _______ kg
0.0078 kg = __________ g
2.34 g = _________ mg
234.5 mg = _______ g
For the following exercises, determine the total weight in the units shown.
Three 350 mg tablets ________ g
Seven 115 g soap bars ________ kg
Six 24 g batteries ________ mg
Fifty 3.56 g pennies ________ mg
Eight 2.25 kg bags of potatoes ________ g
Four 23 kg sacks of flour ________ g
Ten 2.5 kg laptops ________ g
Seven 1,150 g chickens ________ kg
Ninety 4,500 mg marbles ________ kg
There are 26 bags of flour. Each bag weighs 5 kg. What is the total weight of the flour?
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?
Twelve pieces of cardboard weigh 72 grams. What is the weight of one piece of cardboard?
Miguel’s backpack weighs 2.4 kg and Shanayl’s backpack weighs 2,535 grams. Whose backpack is heavier and by how much?
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?
You purchase 10 bananas that weigh 50 grams each. If bananas cost $5.50 per kilogram, how much did you pay?
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?
A box containing 6 identical books weighs 7.2 kg. The box weighs 600 g. What is the weight of each book in grams?
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?
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?
A local restaurant offers lobster for $110 per kilogram. What is the price for a lobster that weighs 450 grams?
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?
The weight of a lamb is 41 kg 340 g. What is the total weight, in kilograms, of four lambs of the same weight?