All the solutions provided in McGraw Hill My Math Grade 4 Answer Key PDF Chapter 11 Lesson 4 Convert Customary Units of Capacity will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 11 Lesson 4 Convert Customary Units of Capacity
You can use multiplication to convert units. To change from a larger unit to a smaller unit, multiply.
Customary Units of Capacity
1 cup (c) = 8 fluid ounces (fl oz)
2 cups (c) = 1 pint (pt)
2 pints (pt) = 1 quart (qt)
4 quarts (qt) = 1 gallon (gal)
Math in My World
Example 1
Marcus has a 2-gallon container of laundry detergent. How many quarts of laundry detergent does he have? How many pints of laundry detergent does he have?
1. Find the number of quarts that are in 2 gallons.
Since quarts are smaller than gallons, multiply. Multiply by 4 because there are 4 quarts in each gallon.
2 × 4 = _______________
So, there are _______________ quarts in 2 gallons.
Answer:
2 × 4 = 8
So, there are 8 quarts in 2 gallons.
2. Find the number of pints that are in 8 quarts.
Multiply 8 by 2 because there are 2 pints in each quart.
8 × 2 = _______________
So, there are _______________ pints in 8 quarts.
Marcus has _______________ quarts, or _______________ pints, of laundry detergent.
Answer:
8 × 2 =16
So, there are 16 pints in 8 quarts.
Marcus has 8 quarts, or 16 pints, of laundry detergent.
Example 2
Complete. 4\(\frac{1}{2}\) quarts = 
pints
1. Convert the whole number.
There are 2 pints in one quart.
Since pints are smaller than quarts, multiply. 4 × 2 = _______________
2. Convert the fraction.
Multiply. \(\frac{1}{2}\) × 2 = _______________ ← Half of 2 pints is 1 pint.
3. Add the parts.
8 + 1 = ______________
So, 4\(\frac{1}{2}\) quarts = _____________ pints.
Answer:
1. Convert the whole number.
There are 2 pints in one quart.
Since pints are smaller than quarts, multiply. 4 × 2 = 8
2. Convert the fraction.
Multiply. \(\frac{1}{2}\) × 2 = 1 ← Half of 2 pints is 1 pint.
3. Add the parts.
8 + 1 = 9
So, 4\(\frac{1}{2}\) quarts = 9 pints.
Guided Practice
Complete.
Question 1.
10 qt = ______________ qt
Answer:
1 quant equals to 1 quant.
Therefore, 10 qt = 10 qt
Question 2.
3\(\frac{1}{2}\) c = _______________ fl oz
Answer:
1. Convert the whole number.
There are 8 fluid ounces in one cup.
Since cups are smaller than fluid ounces, multiply. 3 × 8 = 24
2. Convert the fraction.
Multiply. \(\frac{1}{2}\) × 8 = 4 ← Half of 4 fluid ounces is 2 fluid ounces.
3. Add the parts.
24 + 4 = 28
So, 3\(\frac{1}{2}\) c = 28 fl oz
Question 3.
5 qt = ______________ qt
Answer:
1 quant equals to 1 quant.
Therefore, 5 qt = 5 qt
Complete each conversion table.
Question 4.
Answer:
1 pint (pt) equals 2 cups (c).
Since cups are smaller than pints, multiply. Multiply by 2 because there are 2 cups in 1 pint.
2 pint (pt) will be equal to 2×2=4 cups (c).
3 pint (pt) will be equal to 3×2=6 cups (c).
4 pint (pt) will be equal to 4×2=8 cups (c).
Question 5.
Answer:
1 gallon (gal) equals 4 quarts (qt).
Since quarts are smaller than gallons, multiply. Multiply by 4 because there are 4 quarts in each gallon.
2 gallons will be equal to 2×4=8 qt.
4 gallons will be equal to 4×4=16 qt.
6 gallons will be equal to 6×4=24 qt.
8 gallons will be equal to 8×4=32 qt.
Talk Math
Explain how to convert 6 pints to cups.
Answer:
1 pint (pt) equals 2 cups (c).
Since cups are smaller than pints, multiply. Multiply by 2 because there are 2 cups in 1 pint.
6 pint (pt) will be equal to 6×2=12 cups (c).
Independent Practice
Complete each conversion table.
Question 6.
Answer:
1 quart (qt) = 2 pints (pt)
Since pints are smaller than quart, multiply. Multiply by 2 because there are 2 pints in 1 quart.
2 quarts will be equal to 2×2=4 pints.
3 quarts will be equal to 3×2=6 pints.
4 quarts will be equal to 4×2=8 pints.
Question 7.
Answer:
1 pint (pt) = 2 cups (c)
Since pints are smaller than cups, multiply. Multiply by 2 because there are 2 cups in 1 pint.
5 pints will be equal to 5×2=10 cups.
7 pints will be equal to 7×2=14 cups.
9 pints will be equal to 9×2=18 cups.
11 pints will be equal to 11×2=22 cups.
Algebra Find each unknown number.
Question 8.
8 c = fl oz
= _________________
Answer:
1 cup (c) = 8 fluid ounces (fl oz)
Since fluid ounces are smaller than cups, multiply. Multiply by 8 because there are 8 fluid ounces in 1 cup.
8 cups will have 8×8=64 fluid ounces (fl oz)
Question 9.
6\(\frac{1}{2}\) gal = qt
= _________________
Answer:
1 gallon (gal) equals 4 quarts (qt).
Since quarts are smaller than gallons, multiply. Multiply by 4 because there are 4 quarts in each gallon.
1. Convert the whole number.
6 × 4 = 24
2. Convert the fraction.
Multiply. \(\frac{1}{2}\) × 4 = 2 ← Half of 4 qt is 2 quarts.
3. Add the parts.
24 + 2 = 26
So, 6\(\frac{1}{2}\) gal = 26 qt.
Question 10.
qt = 5 gal
= _________________
Answer:
1 gallon (gal) equals 4 quarts (qt).
Since quarts are smaller than gallons, multiply. Multiply by 4 because there are 4 quarts in each gallon.
5 gallons will be equal to 5×4=20 qt.
Question 11.
5\(\frac{1}{2}\) c = fl oz
= _________________
Answer:
1 cup (c) = 8 fluid ounces (fl oz)
Since fluid ounces are smaller than cups, multiply. Multiply by 8 because there are 8 fluid ounces in 1 cup.
1. Convert the whole number.
5 × 8 = 40
2. Convert the fraction.
Multiply. \(\frac{1}{2}\) × 8 = 4 ← Half of 8 fl oz is 4 fl oz.
3. Add the parts.
40 + 4 = 44
So, 5\(\frac{1}{2}\) c = 44 fl oz.
Question 12.
c = 15 pt
= _________________
Answer:
1 pint (pt) equals 2 cups (c)
Since pints are smaller than cups, multiply. Multiply by 2 because there are 2 cups in 1 pint.
15 pints will be equal to 15×2=30 pt.
Question 13.
16 c = fl oz
= _________________
Answer:
1 cup (c) = 8 fluid ounces (fl oz)
Since fluid ounces are smaller than cups, multiply. Multiply by 8 because there are 8 fluid ounces in 1 cup.
16 cups will be equal to 16×8=128 fl oz.
Compare. Use >, <, or =.
Question 14.
4 qt 
10 pt
Answer:
The units are same for the given numbers.
10 is greater than 4.
4 qt < 10 pt
Question 15.
10 gal 1,280 fl oz
Answer:
The given numbers have different units, we need to first convert them to same units.
1 gallon equals to 128 fl oz.
Since fluid ounces are smaller than gallon, multiply. Multiply by 128 because there are 128 fluid ounces in 1 gallon.
10 gallons will be equal to 10×128=1280 fl oz.
Given two numbers are same.
10 gal = 1,280 fl oz
Question 16.
1 qt 2 c
Answer:
1 qt equals to 4 c.
Therefore, 1 qt or 4 c is greater than 2 c.
1 qt > 2 c
Question 17.
1 gal 16 c
Answer:
1 gal equals to 16 c.
Given two numbers are same.
1 gal = 16 c
Question 18.
5 qt 25 c
Answer:
1 qt equals to 4 c.
5 qt will be equal to 5×4=20 c
Therefore, 25 c is greater than 5 qt or 20 c.
5 qt < 25 c
Question 19.
12 fl oz 2 c
Answer:
1 cup (c) = 8 fluid ounces (fl oz)
Since fluid ounces are smaller than cups, multiply. Multiply by 8 because there are 8 fluid ounces in 1 cup.
2 cups will be equal to 2×8=16 fl oz.
2 c or 16 fl oz will be greater than 12 fl oz.
12 fl oz < 2 c
Question 20.
How many times greater is the capacity of one gallon than one quart?
Answer:
1 gallon (gal) equals 4 quarts (qt).
The capacity of one gallon is 4 times greater than one quart.
Question 21.
How many times greater is the capacity of one cup than one fluid ounce?
Answer:
1 cup (c) equals 8 fluid ounces (fl oz).
The capacity of one cup is 8 times greater than one fluid ounce
Problem Solving
Question 22.
Lucia is making 2 gallons of soup. How many cups of soup is Lucia making?
Answer:
1 gal equals to 16 c.
Since cups are smaller than gal, multiply. Multiply by 16 because there are 16 cups in 1 gal.
2 gallons will be 2×16=32 c.
Thus, Lucia is making 2 gallons or 32 cups of soup
Question 23.
Mathematical PRACTICE Use Math Tools Tomas is buying a 2-cup container of liquid dish soap. How many fluid ounces of dish soap is he buying?
Answer:
Given that: Tomas is buying a 2-cup container of liquid dish soap.
1 cup (c) = 8 fluid ounces (fl oz)
Since fluid ounces are smaller than cups, multiply. Multiply by 8 because there are 8 fluid ounces in 1 cup.
2 cup will be equal to 2×8=16 fluid ounces.
Thus, Tomas is buying a 2-cup or 16 fluid ounces container of liquid dish soap.
Question 24.
Danielle is using 2 quarts of water in a recipe. How many cups of water is she using?
Answer:
Given that: Danielle is using 2 quarts of water in a recipe.
1 qt equals to 4 c.
Since cups are smaller than qt, multiply. Multiply by 4 because there are 4 cups in 1 qt.
2 qt will be equal to 2×4=8 c.
Thus, Danielle is using 2 quarts or 8 c of water in a recipe.
Question 25.
Karen is buying 4 gallons of orange juice. How many quarts of orange juice is she buying?
Answer:
Given that: Karen is buying 4 gallons of orange juice.
1 gallon (gal) equals 4 quarts (qt).
Since quarts are smaller than gallon, multiply. Multiply by 4 because there are 4 qt in 1 gallon.
4 gallons will be equal to 4×4=16 quarts.
Thus, Karen is buying 4 gallons or 16 quarts of orange juice.
HOT Problems
Question 26.
Mathematical PRACTICE Which One Doesn’t Belong? Circle the measurement that does not belong with the other three. Explain your reasoning.
Answer:
Let us first convert all the given values to smaller measuring units.
1 pint (pt) = 2 cups (c)
Therefore, 4 pints will be equal 4×2= 8 cups.
1 quart (qt) = 4 cups (c)
Therefore, 2 quarts will be equal 2×4= 8 cups.
1 gallon equals 16 cups.
Question 27.
Building on the Essential Question How are gallons and fluid ounces related?
Answer:
1 gallon equals to 128 fl oz.
There are 128 fl oz in 1 gallon.
McGraw Hill My Math Grade 4 Chapter 11 Lesson 4 My Homework Answer Key
Practice
Convert units to complete each equation.
Question 1.
9 pt = _______________ c
Answer:
1 pint (pt) = 2 cups (c)
Since pints are smaller than cups, multiply. Multiply by 2 because there are 2 cups in 1 pint.
9×2=18
Thus, 9 pt = 18 c
Question 2.
4 qt = _______________ pt
Answer:
1 quart (qt) = 2 pints (pt)
Since pints are smaller than quart, multiply. Multiply by 2 because there are 2 pints in 1 quart.
4×2=8.
Thus, 4 qt = 8 pt
Question 3.
3 c = _______________ fl oz
Answer:
1 cup (c) = 8 fluid ounces (fl oz)
Since fluid ounces are smaller than cups, multiply. Multiply by 8 because there are 8 fluid ounces in 1 cup.
3 cups will be equal to 3×8=24 fl oz.
Thus, 3 c = 24 fl oz
Question 4.
9\(\frac{1}{2}\) gal = _______________ qt
Answer:
1 gal = 4 qt.
Since quart are smaller than gallon, multiply. Multiply by 4 because there are 4 quart in 1 gallon.
1. Convert the whole number.
9 × 4 = 36
2. Convert the fraction.
Multiply. \(\frac{1}{2}\) × 4 = 2 ← Half of 4 quart is 2 qt.
3. Add the parts.
36 + 2 = 38
So, 9\(\frac{1}{2}\) gal = 38 qt
Question 5.
5\(\frac{1}{2}\) pt = _______________ c
Answer:
1 pint (pt) = 2 cups (c)
Since cups are smaller than pint, multiply. Multiply by 2 because there are 2 cups in 1 pint.
1. Convert the whole number.
5 × 2 = 10
2. Convert the fraction.
Multiply. \(\frac{1}{2}\) × 2 = 1 ← Half of 2 cups is 1 c.
3. Add the parts.
10 + 1 = 11
So, 5\(\frac{1}{2}\) pt = 11 c
Question 6.
6 gal = _______________ qt
Answer:
1 gal = 4 qt.
Since quart are smaller than gallon, multiply. Multiply by 4 because there are 4 quart in 1 gallon.
6×4=24
So, 6 gal = 24 qt
Complete each conversion table.
Question 7.
Answer:
1 cup (c) = 8 fluid ounces (fl oz)
Since fluid ounces are smaller than cups, multiply. Multiply by 8 because there are 8 fluid ounces in 1 cup.
3 c will be equal to 3×8=24 fl oz
5 c will be equal to 5×8=40 fl oz
7 c will be equal to 7×8=56 fl oz
Question 8.
Answer:
1 quart (qt) = 2 pints (pt)
Since pints are smaller than quart, multiply. Multiply by 2 because there are 2 pints in 1 quart.
2 quarts will be equal to 2×2=4 pints.
3 quarts will be equal to 3×2=6 pints.
4 quarts will be equal to 4×2=8 pints.
Question 9.
Answer:
1 gal = 4 qt.
Since quart are smaller than gallon, multiply. Multiply by 4 because there are 4 quart in 1 gallon.
4 gal will be equal to 4×4=16 qt.
5 gal will be equal to 5×4=20 qt.
6 gal will be equal to 6×4=24 qt.
7 gal will be equal to 7×4=28 qt.
Question 10.
Answer:
1 gal = 8 pt.
Since quart are smaller than gallon, multiply. Multiply by 4 because there are 4 quart in 1 gallon.
4 gal will be equal to 4×8=32 pt.
5 gal will be equal to 5×8=40 pt.
6 gal will be equal to 6×8=48 pt.
7 gal will be equal to 7×8=56 pt.
Problem Solving
Question 11.
Mathematical PRACTICE Reason Elle can buy 2 quarts of milk for $3 or 1 gallon of milk for $3. Which is the better deal? Explain.
Answer:
Given that: Elle can buy 2 quarts of milk for $3 or 1 gallon of milk for $3.
1 gallon equals to 4 qt.
The better deal will be 1 gallon or 4 qt of milk for $3.
Question 12.
Marco needs 2 gallons of paint for his living room. He has 10 quarts of paint. Is that enough? Explain.
Answer:
Given that: Marco needs 2 gallons of paint for his living room.
1 gal = 4 qt.
Since quart are smaller than gallon, multiply. Multiply by 4 because there are 4 quart in 1 gallon.
2 gallons will be 2×4=8 qt.
He has 10 quarts of paint, which is greater than 8 qt.Thus he has enough paint for his living room.
Question 13.
Ollie drank \(\frac{3}{4}\) of a 16-fluid ounce bottle of juice. How many fluid ounces of juice are left in the bottle?
Answer:
Given that: Ollie drank \(\frac{3}{4}\) of a 16-fluid ounce bottle of juice.
He drank \(\frac{3}{4}\), so \(\frac{1}{4}\) will be left in the bottle.
\(\frac{1}{4}\) of 16 will be 4 fluid ounces.
Therefore, 4 fluid ounces of juice is left in the bottle
Test Practice
Question 14.
Craig drank two 5-cup bottles of water in one day. How many fluid ounces is that?
(A) 10 fluid ounces
(B) 16 fluid ounces
(C) 40 fluid ounces
(D) 80 fluid ounces
Answer:
Given that: Craig drank two 5-cup bottles of water in one day.
1 cups (c) equals to 8 fluid ounces (fl oz)
Since fluid ounces are smaller than cup, multiply. Multiply by 8 because there are 8 fluid ounces in 1 cup.
5 cups will be equal to 5×8=40 fluid ounces.
Thus, option C is correct.