7.5 Systems of Measurement

A park bench is $6$ feet long. Convert the length to inches.

A floor tile is $2$ feet wide. Convert the width to inches.

A ribbon is $18$ inches long. Convert the length to feet.

Carson is $45$ inches tall. Convert his height to feet.

Jon is $6$ feet $4$ inches tall. Convert his height to inches.

Faye is $4$ feet $10$ inches tall. Convert her height to inches.

A football field is $160$ feet wide. Convert the width to yards.

On a baseball diamond, the distance from home plate to first base is $30$ yards. Convert the distance to feet.

Ulises lives $1.5$ miles from school. Convert the distance to feet.

Denver, Colorado, is $\mathrm{5,183}$ feet above sea level. Convert the height to miles.

A killer whale weighs $4.6$ tons. Convert the weight to pounds.

Blue whales can weigh as much as $150$ tons. Convert the weight to pounds.

An empty bus weighs $\mathrm{35,000}$ pounds. Convert the weight to tons.

At take-off, an airplane weighs $\mathrm{220,000}$ pounds. Convert the weight to tons.

The voyage of the Mayflower took $2$ months and $5$ days. Convert the time to days (30 days = 1 month).

Lynn’s cruise lasted $6$ days and $18$ hours. Convert the time to hours.

Rocco waited $1\frac{1}{2}$ hours for his appointment. Convert the time to seconds.

Misty’s surgery lasted $2\frac{1}{4}$ hours. Convert the time to seconds.

How many teaspoons are in a pint?

How many tablespoons are in a gallon?

JJ’s cat, Posy, weighs $14$ pounds. Convert her weight to ounces.

April’s dog, Beans, weighs $8$ pounds. Convert his weight to ounces.

Baby Preston weighed $7$ pounds $3$ ounces at birth. Convert his weight to ounces.

Baby Audrey weighed $6$ pounds $15$ ounces at birth. Convert her weight to ounces.

Crista will serve $20$ cups of juice at her son’s party. Convert the volume to gallons.

Lance needs $500$ cups of water for the runners in a race. Convert the volume to gallons.

Eli caught three fish. The weights of the fish were $2$ pounds $4$ ounces, $1$ pound $11$ ounces, and $4$ pounds $14$ ounces. What was the total weight of the three fish?

Judy bought $1$ pound $6$ ounces of almonds, $2$ pounds $3$ ounces of walnuts, and $8$ ounces of cashews. What was the total weight of the nuts?

One day Anya kept track of the number of minutes she spent driving. She recorded trips of $45,10,8,65,20,\text{and 35 minutes.}$ How much time (in hours and minutes) did Anya spend driving?

Last year Eric went on $6$ business trips. The number of days of each was $5,2,8,12,6,\text{and 3.}$ How much time (in weeks and days) did Eric spend on business trips last year?

Renee attached a $\text{6-foot-6-inch}$ extension cord to her computer’s $\text{3-foot-8-inch}$ power cord. What was the total length of the cords?

Fawzi’s SUV is $6$ feet $4$ inches tall. If he puts a $\text{2-foot-10-inch}$ box on top of his SUV, what is the total height of the SUV and the box?

Leilani wants to make $8$ placemats. For each placemat she needs $18$ inches of fabric. How many yards of fabric will she need for the $8$ placemats?

Mireille needs to cut $24$ inches of ribbon for each of the $12$ girls in her dance class. How many yards of ribbon will she need altogether?

Ghalib ran $5$ kilometers. Convert the length to meters.

Kitaka hiked $8$ kilometers. Convert the length to meters.

Estrella is $1.55$ meters tall. Convert her height to centimeters.

The width of the wading pool is $2.45$ meters. Convert the width to centimeters.

Mount Whitney is $\mathrm{3,072}$ meters tall. Convert the height to kilometers.

The depth of the Mariana Trench is $\mathrm{10,911}$ meters. Convert the depth to kilometers.

June’s multivitamin contains $\mathrm{1,500}$ milligrams of calcium. Convert this to grams.

A typical ruby-throated hummingbird weights $3$ grams. Convert this to milligrams.

One stick of butter contains $91.6$ grams of fat. Convert this to milligrams.

One serving of gourmet ice cream has $25$ grams of fat. Convert this to milligrams.

The maximum mass of an airmail letter is $2$ kilograms. Convert this to grams.

Dimitri’s daughter weighed $3.8$ kilograms at birth. Convert this to grams.

A bottle of wine contained $750$ milliliters. Convert this to liters.

A bottle of medicine contained $300$ milliliters. Convert this to liters.

Matthias is $1.8$ meters tall. His son is $89$ centimeters tall. How much taller, in centimeters, is Matthias than his son?

Stavros is $1.6$ meters tall. His sister is $95$ centimeters tall. How much taller, in centimeters, is Stavros than his sister?

A typical dove weighs $345$ grams. A typical duck weighs $1.2$ kilograms. What is the difference, in grams, of the weights of a duck and a dove?

Concetta had a $\text{2-kilogram}$ bag of flour. She used $180$ grams of flour to make biscotti. How many kilograms of flour are left in the bag?

Harry mailed $5$ packages that weighed $420$ grams each. What was the total weight of the packages in kilograms?

One glass of orange juice provides $560$ milligrams of potassium. Linda drinks one glass of orange juice every morning. How many grams of potassium does Linda get from her orange juice in $30$ days?

Jonas drinks $200$ milliliters of water $8$ times a day. How many liters of water does Jonas drink in a day?

One serving of whole grain sandwich bread provides $6$ grams of protein. How many milligrams of protein are provided by $7$ servings of whole grain sandwich bread?

Bill is $75$ inches tall. Convert his height to centimeters.

Frankie is $42$ inches tall. Convert his height to centimeters.

Marcus passed a football $24$ yards. Convert the pass length to meters.

Connie bought $9$ yards of fabric to make drapes. Convert the fabric length to meters.

Each American throws out an average of $\mathrm{1,650}$ pounds of garbage per year. Convert this weight to kilograms (2.20 pounds = 1 kilogram).

An average American will throw away $\mathrm{90,000}$ pounds of trash over his or her lifetime. Convert this weight to kilograms (2.20 pounds = 1 kilogram).

A $\text{5K}$ run is $5$ kilometers long. Convert this length to miles.

Kathryn is $1.6$ meters tall. Convert her height to feet.

Dawn’s suitcase weighed $20$ kilograms. Convert the weight to pounds.

Jackson’s backpack weighs $15$ kilograms. Convert the weight to pounds.

Ozzie put $14$ gallons of gas in his truck. Convert the volume to liters.

Bernard bought $8$ gallons of paint. Convert the volume to liters.

$$86\text{°F}$$

$$77\text{°F}$$

$$104\text{°F}$$

$$14\text{°F}$$

$$72\text{°F}$$

$$4\text{°F}$$

$$0\text{°F}$$

$$120\text{°F}$$

$$5\text{°C}$$

$$25\text{°C}$$

$$\mathrm{-10}\text{°C}$$

$$\mathrm{-15}\text{°C}$$

$$22\text{°C}$$

$$8\text{°C}$$

$$43\text{°C}$$

$$16\text{°C}$$

Nutrition Julian drinks one can of soda every day. Each can of soda contains $40$ grams of sugar. How many kilograms of sugar does Julian get from soda in $1$ year?

Reflectors The reflectors in each lane-marking stripe on a highway are spaced $16$ yards apart. How many reflectors are needed for a one-mile-long stretch of highway?

Some people think that $65\text{°}$ to $75\text{°}$ Fahrenheit is the ideal temperature range.

1. ⓐ What is your ideal temperature range? Why do you think so?

2. ⓑ Convert your ideal temperatures from Fahrenheit to Celsius.

ⓐ Did you grow up using the U.S. customary or the metric system of measurement? ⓑ Describe two examples in your life when you had to convert between systems of measurement. ⓒ Which system do you think is easier to use? Explain.

$$6$$

$$\mathrm{-5}$$

$$2.9$$

$$1.8$$

$$0.42,0.\stackrel{\text{–}}{3},\mathrm{2.56813\dots }$$

$$\text{0.75319…},0.\stackrel{\text{—}}{16},1.95$$

ⓐ $\sqrt{49}$ ⓑ $\sqrt{55}$

ⓐ $\sqrt{72}$ ⓑ $\sqrt{64}$

$$\mathrm{-9},0,\text{0.361....},\frac{8}{9},\sqrt{16},9$$

$$\mathrm{-5},-2\frac{1}{4},-\sqrt{4},0.\stackrel{\text{—}}{25},\frac{13}{5},4$$

$$6+4=\_\_\_\_$$

$$\mathrm{-14}·5=\_\_\_\_$$

$$3n=\_\_\_\_$$

$$a+8=\_\_\_\_$$

$$(13·5)·2=\_\_\_\_\_$$

$$(22+7)+3=\_\_\_\_\_$$

$$(4+9x)+x=\_\_\_\_\_$$

$$\frac{1}{2}(22y)=\_\_\_\_\_$$

If $y=\frac{11}{12},$ evaluate:
ⓐ $y+0.7+(-y)$
ⓑ $y+(-y)+0.7$

If $z=-\frac{5}{3},$ evaluate:
ⓐ $z+5.39+(-z)$
ⓑ $z+(-z)+5.39$

If $k=65,$ evaluate:
ⓐ $\frac{4}{9}\left(\frac{9}{4}k\right)$
ⓑ $(\frac{4}{9}·\frac{9}{4})k$

If $m=\mathrm{-13},$ evaluate:
ⓐ $-\frac{2}{5}\left(\frac{5}{2}m\right)$
ⓑ $(-\frac{2}{5}·\frac{5}{2})m$

$$6y+37+(\mathrm{-6}y)$$

$$\frac{1}{4}+\frac{11}{15}+\left(-\frac{1}{4}\right)$$

$$\frac{14}{11}·\frac{35}{9}·\frac{11}{14}$$

$$\mathrm{-18}·15·\frac{2}{9}$$

$$\left(\frac{7}{12}+\frac{4}{5}\right)+\frac{1}{5}$$

$$\left(3.98d+0.75d\right)+1.25d$$

$$\mathrm{-12}\left(4m\right)$$

$$30\left(\frac{5}{6}q\right)$$

$$11x+8y+16x+15y$$

$$52m+(\mathrm{-20}n)+(\mathrm{-18}m)+(\mathrm{-5}n)$$

$$7(x+9)$$

$$9(u-4)$$

$$\mathrm{-3}(6m-1)$$

$$\mathrm{-8}(\mathrm{-7}a-12)$$

$$\frac{1}{3}(15n-6)$$

$$(y+10)·p$$

$$(a-4)-(6a+9)$$

$$4(x+3)-8(x-7)$$

If $u=2,$ evaluate
ⓐ $3(8u+9)\text{and}$
ⓑ $3·8u+3·9$ to show that $3(8u+9)=3·8u+3·9$

If $n=\frac{7}{8},$ evaluate
ⓐ $8(n+\frac{1}{4})$ and
ⓑ $8·n+8·\frac{1}{4}$ to show that $8(n+\frac{1}{4})=8·n+8·\frac{1}{4}$

If $d=14,$ evaluate
ⓐ $\mathrm{-100}\left(0.1d+0.35\right)$ and
ⓑ $\mathrm{-100}·(0.1d)+\left(\mathrm{-100}\right)\left(0.35\right)$ to show that $\mathrm{-100}\left(0.1d+0.35\right)=\mathrm{-100}·(0.1d)+\left(\mathrm{-100}\right)\left(0.35\right)$

If $y=\mathrm{-18},$ evaluate
ⓐ $-\left(y-18\right)$ and
ⓑ $-y+18$ to show that $-\left(y-18\right)=-y+18$

$$\mathrm{-35}(1)=\mathrm{-35}$$

$$29+0=29$$

$$(6x+0)+4x=6x+4x$$

$$9·1+\left(-3\right)=9+\left(-3\right)$$

$$\mathrm{-32}$$

$$19.4$$

$$\frac{3}{5}$$

$$-\frac{7}{15}$$

$$\frac{9}{2}$$

$$\mathrm{-5}$$

$$\frac{1}{10}$$

$$-\frac{4}{9}$$

$$83·0$$

$$\frac{0}{9}$$

$$\frac{5}{0}$$

$$0÷\frac{2}{3}$$

$$43+39+(\mathrm{-43})$$

$$(n+6.75)+0.25$$

$$\frac{5}{13}·57·\frac{13}{5}$$

$$\frac{1}{6}·17·12$$

$$\frac{2}{3}·28·\frac{3}{7}$$

$$9(6x-11)+15$$

A floral arbor is $7$ feet tall. Convert the height to inches.

A picture frame is $42$ inches wide. Convert the width to feet.

Kelly is $5$ feet $4$ inches tall. Convert her height to inches.

A playground is $45$ feet wide. Convert the width to yards.

The height of Mount Shasta is $\mathrm{14,179}$ feet. Convert the height to miles.

Shamu weighs $4.5$ tons. Convert the weight to pounds.

The play lasted $1\frac{3}{4}$ hours. Convert the time to minutes.

How many tablespoons are in a quart?

Naomi’s baby weighed $5$ pounds $14$ ounces at birth. Convert the weight to ounces.

Trinh needs $30$ cups of paint for her class art project. Convert the volume to gallons.

John caught $4$ lobsters. The weights of the lobsters were $1$ pound $9$ ounces, $1$ pound $12$ ounces, $4$ pounds $2$ ounces, and $2$ pounds $15$ ounces. What was the total weight of the lobsters?

Every day last week, Pedro recorded the amount of time he spent reading. He read for $50,25,83,45,32,60,\text{and}135$ minutes. How much time, in hours and minutes, did Pedro spend reading?

Fouad is $6$ feet $2$ inches tall. If he stands on a rung of a ladder $8$ feet $10$ inches high, how high off the ground is the top of Fouad’s head?

Dalila wants to make pillow covers. Each cover takes $30$ inches of fabric. How many yards and inches of fabric does she need for $4$ pillow covers?

Donna is $1.7$ meters tall. Convert her height to centimeters.

Mount Everest is $\mathrm{8,850}$ meters tall. Convert the height to kilometers.

One cup of yogurt contains $488$ milligrams of calcium. Convert this to grams.

One cup of yogurt contains $13$ grams of protein. Convert this to milligrams.

Sergio weighed $2.9$ kilograms at birth. Convert this to grams.

A bottle of water contained $650$ milliliters. Convert this to liters.

Minh is $2$ meters tall. His daughter is $88$ centimeters tall. How much taller, in meters, is Minh than his daughter?

Selma had a $\text{1-liter}$ bottle of water. If she drank $145$ milliliters, how much water, in milliliters, was left in the bottle?

One serving of cranberry juice contains $30$ grams of sugar. How many kilograms of sugar are in $30$ servings of cranberry juice?

One ounce of tofu provides $2$ grams of protein. How many milligrams of protein are provided by $5$ ounces of tofu?

Majid is $69$ inches tall. Convert his height to centimeters.

A college basketball court is $84$ feet long. Convert this length to meters.

Caroline walked $2.5$ kilometers. Convert this length to miles.

Lucas weighs $78$ kilograms. Convert his weight to pounds.

Steve’s car holds $55$ liters of gas. Convert this to gallons.

A box of books weighs $25$ pounds. Convert this weight to kilograms.

$$95\text{°F}$$

$$23\text{°F}$$

$$20\text{°F}$$

$$64\text{°F}$$

$$30\text{°C}$$

$$\mathrm{-5}\text{°C}$$

$$\mathrm{-12}\text{°C}$$

$$24\text{°C}$$