McGraw Hill My Math Grade 5 Chapter 11 Review Answer Key

All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 11 Review will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Chapter 11 Review Answer Key

Vocabulary Check

Fill in the circle next to the best answer.

Question 1.
The capacity of a container ¡s which of the following?
A. the elapsed time
B. the customary unit
C. the metric unit
D. the amount that ¡t can hold
Answer: Option D is the correct answer.

The capacity of a container is the maximum number of elements it could contain without having to allocate new memory.
Question 2.
Customary units of length are measured in which of the following?
F. meters and centimetres only
G. inches, feet, yards, and miles
H. minutes and hours
I. days and weeks
Answer: Option G is the correct answer.

The customary system of measurement is a set of weights and measures that we use to measure length, weight, temperature, and capacity. This system is also called the US customary system, as it’s commonly used in the US.
Point out that the customary units of length that we use are as follows: inch, feet, yard, and mile.
So how can we estimate how many inches, feet, yards, or miles is something? You can provide a few examples, such as:
– a regular paper clip is around one inch
– the range of a large shoe is one foot
– the length of a bike is about a yard
– the length of a runway of an airport is around one mile.

Question 3.
The metric system is based on one of the following?
A. fractions
B. decimals
C. inches
D. gallons
Answer: Option B is the correct answer

The metric system of measurement in mathematics is the set of standard units defined to measure length, weight, area, and capacity. It is based on the decimal system as it includes numbers in powers of 10.
– The metric system of measurement is the standard way of measuring distance, calculating height, and most of the other day-to-day items. For instance, let’s consider a jar of milk. We use litres to find the volume of milk and meters (or centimetres) to find the height of the jar. This is because these metric units are followed in most places worldwide and are called SI units (International System of Units).

Question 4.
When you convert from feet to inches, you are doing which of the following?
F. changing the measurement unit
G. determining capacity
H. determining mass
I. determining the volume
Answer: Option F is the correct answer

– convert feet to inches, multiply the number of feet by 12 since there are 12 inches in a foot. If you have a measurement in feet and inches, add the number of inches to the answer after multiplying the number of feet by 12.

Question 5.
When finding the mass of an object, you determine which of the following?
A. the quantity of matter in the object
B. its weight
C. its height
D. its length
Answer: Option A is the correct answer.

The primary instrument which is used to measure the weight of an object is the scale or balance scale. The mass is then calculated by the formula,m = F/a. There are different units of measurement used to measure the mass. In the SI system of units, mass can be measured in kilograms.

Concept Check

Complete.

Question 6.
84 in. = ____ ft
Answer: 7 ft
Explanation:
How to convert inches to feet:
1 inch is equal to 1/12 feet:
1″ = 1/12ft = 0.083333ft
The distance d in feet (ft) is equal to the distance d in inches (″) divided by 12:
d(ft) = d(“) / 12
d(ft) = 84 / 12
d(ft) = 7
Therefore, 84 inches equals 7 feet.

Question 7.
9 yd = ____ in.
Answer: 324 inches
Explanation:
1 yard is equal to 3 inches:
1yd = 36in
The distance d in inches (in) is equal to the distance d in yards (yd) times 36:
d(in) = d(yd) × 36
d(in) = 9 x 36
d(in) = 324
Therefore, 9 yards equal 324 inches.

Question 8.
7,920 yd = ___ mi
Answer: 4.5 miles
Explanation:
1 yard is equal to 1/1760 miles:
1yd = 1/1760mi = 5.68181818e-4mi
The distance d in miles (mi) is equal to the distance d in yards (yd) divided by 1760:
d(mi) = d(yd) / 1760
d(mi) = 7920 / 1760
d(mi) = 4.5
Therefore, 7920 yards equals 4.5 miles.

Question 9.
64,000 lb = ____ T
Answer: 29 tons
Explanation:
How to convert pounds to tons:
1 pound (lb) is equal to 0.45359237 tons (t).
1 lb = 0.00045359237 t
The mass m in tons (t) is equal to the mass m in pounds (lb) times 0.00045359237:
m(t) = m(lb) × 0.00045359237
m(t) = 64000 x 0.00045359237
m(t) = 29.02991168
m(t) = 29
Therefore, 64,000 pounds equal 29 tons.

Question 10.
7\(\frac{1}{2}\) lb = ___ oz
Answer: 120 ounces
7 1/2 = 15/2 = 7.5
Explanation:
How to convert pounds to ounces:
1 pound (lb) is equal to 16 Ounces (oz).
1 lb = 16 oz
The mass m in ounces (oz) is equal to the mass m in pounds (lb) times 16:
m(oz) = m(lb) × 16
m(oz) = 7.5 x 16
m(oz) = 120
Therefore, 7\(\frac{1}{2}\) lb equals to 120 ounces.

Question 11.
62 oz = ___ lb ___ oz
Answer: 3 lb 14 oz
Explanation:
How to convert ounces to pounds:
1 ounce (oz) is equal to 0.0625 pounds (lb).
1 oz = (1/16) lb = 0.0625 lb
The mass m in pounds (lb) is equal to the mass m in ounces (oz) divided by 16:
m(lb) = m(oz) / 16
m(lb) = 62 / 16
m(lb) = 3.875
This can be written as 3 pounds 14 ounces.

Question 12.
7 pt = ____ c
Answer: 14 cups
Explanation:
1 pint is equal to 2 cups: 1 pt = 2 cup
To convert 7 pints into cups we have to multiply 7 by the conversion factor in order to get the volume amount from pints to cups. We can also form a simple proportion to calculate the result:
1 pt → 2 cup
7 pt → V(cup)
Solve the above proportion to obtain the volume V in cups:
V(cup) = 7 pt × 2 cup
V(cup) = 14 cup
We conclude that 7 pints are equivalent to 14 cups:
7 pints = 14 cups

Question 13.
12 c = ____ qt
Answer: 3 quarts
Explanation:
1 cup is equal to 0.25 quarts: 1 cup = 0.25 qt
To convert 12 cups into quarts we have to multiply 12 by the conversion factor in order to get the volume amount from cups to quarts. We can also form a simple proportion to calculate the result:
1 cup → 0.25 qt
12 cup → V(qt)
Solve the above proportion to obtain the volume V in quarts:
V(qt) = 12 cup × 0.25 qt
V(qt) = 3 qt
We conclude that 12 cups is equivalent to 3 quarts:
12 cups = 3 quarts

Question 14.
72 pt = ____ gal
Answer: 9 gallons
Explanation:
1 pint is equal to 0.125 gallons: 1 pt = 0.125 gal
To convert 72 pints into gallons we have to multiply 72 by the conversion factor in order to get the volume amount from pints to gallons. We can also form a simple proportion to calculate the result:
1 pt → 0.125 gal
72 pt → V(gal)
Solve the above proportion to obtain the volume V in gallons:
V(gal) = 72 pt × 0.125 gal
V(gal) = 9 gal
We conclude that 72 pints are equivalent to 9 gallons:
72 pints = 9 gallons.

Question 15.
120 mm = ___ cm
Answer: 12 centimetres.
Explanation:
1 millimetre is equal to 0.1 centimetres: 1 mm = 0.1 cm
To convert 120 millimetres into centimetres we have to multiply 120 by the conversion factor in order to get the length amount from millimetres to centimetres. We can also form a simple proportion to calculate the result:
1 mm → 0.1 cm
120 mm → L(cm)
Solve the above proportion to obtain the length L in centimetres:
L(cm) = 120 mm × 0.1 cm
L(cm) = 12 cm
We conclude that 120 millimetres are equivalent to 12 centimetres:
120 millimeters = 12 centimeters.

Question 16.
Make a line plot of the measurements in the table. Then find the fair share.

fair share: ____
Answer:
Step 1:
Count the number of times the fraction appears.
\(\frac{1}{2}\) appears 3 times.
\(\frac{1}{3}\) appears 3 times.
\(\frac{1}{4}\) appears 2 times.
Step 2:
Plotting the number line:
A Line plot can be defined as a graph that displays data as points or checks marks above a number line, showing the frequency of each value.
The total frequency is 8.

Step 3: The tile of the line plot is the amount of sports drinks.
Now find the fair using the line plot.
Step 4: Add the fractions to find the total amount of juice. Add the fractions.
3 Xs above 1/2: 1/2 + 1/2 + 1/2 = 3/2
3 Xs above 1/3: 1/3 + 1/3 + 1/3 = 3/3 = 1
2 Xs above 1/4: 1/4 + 1/4 = 2/4 = 1/2
Now add: 3/2 + 1 + 1/2
: 4/2 + 1
: 2 + 1
: 3
Step 5: The fair share is 3/8 gallons.

Problem Solving

Question 17.
Breanna has quarters, dimes, and nickels in her purse. She has 3 fewer nickels than dimes, but she has 2 more nickels than quarters. If Breanna has 2 quarters, how much money does she have?
Answer:
She has 2 quarters.
-from the rest of the problem, we know that she has 2 more nickels than quarters.
2 Quarters + 2 = 4 nickels
she has 3 fewer nickels than dimes,
dime – 3 = Nickels
D – 3 = 4
D = 4 +3
D = 7
now know the dimes, quarters and nickels.
7 dimes = 7 x 10 = 70 cents
4 nickels = 4 x 5 = 20 cents
2 quarters = 2 x 25 = 50 cents
70 + 20 + 50 = 140 cents or $1.40

Question 18.
A detergent bottle holds 700 millilitres. Find the capacity in litres.
Answer: 0.7 litres
Explanation:
The number of millilitres a detergent bottle holds = 700
The capacity of litres = V(L)
1 milliliter is equal to 0.001 liters: 1 ml = 0.001 L
To convert 700 millilitres into litres we have to multiply 700 by the conversion factor in order to get the volume amount from millilitres to litres. We can also form a simple proportion to calculate the result:
1 ml → 0.001 L
700 ml → V(L)
Solve the above proportion to obtain the volume V in litres:
V(L) = 700 ml × 0.001 L
V(L) = 0.7 L
We conclude that 700 millilitres are equivalent to 0.7 litres:
700 milliliters = 0.7 liters

Question 19.
When Quentin flew from New York City to Atlanta, the pilot announced that they were flying at 33,000 feet. How many miles is this? Write as a mixed number.
Answer: 6 1/4 miles
Explanation:
The number of feet they were flying = 33000
The number of miles = d(mi)
1 foot is equal to 1/5280 miles:
1ft = 1/5280mi = 0.0001893939mi
The distance d in miles (mi) is equal to the distance d in feet (ft) divided by 5280:
d(mi) = d(ft) / 5280
d(mi) = 33000 / 5280
d(mi) = 6.25
In mixed fractions: 6 1/4
Explanation:
6.25 = 625 / 100 = 25 / 4
Convert improper fraction to mixed number
25 ÷ 4 = 6 remainder 1
Therefore, the mixed fraction is 6 1/4.
Hence, they flew 6 1/4 miles.

Question 20.
Deka measured the mass of 100 sheets of paper as 1,500 grams. How many kilograms is this?
Answer: 1.5 kilograms
Explanation:
1 gram is equal to 0.001 kilograms: 1 g = 0.001 kg
To convert 1500 grams into kilograms we have to multiply 1500 by the conversion factor in order to get the mass amount from grams to kilograms. We can also form a simple proportion to calculate the result:
1 g → 0.001 kg
1500 g → M(kg)
Solve the above proportion to obtain the mass M in kilograms:
M(kg) = 1500 g × 0.001 kg
M(kg) = 1.5 kg

Test Practice

Question 21.
Maisha is using a special paint for her artwork. The art supply store charges $1.50 per cup of paint. Maisha needs 2 pints of blue paint, 3 cups of green paint, 1\(\frac{1}{2}\) quarts of orange paint, and \(\frac{1}{2}\) cup of yellow paint. How much will she pay?
A. $10.50
B. $11.25
C. $14.25
D. $20.25
Answer: Option D is the correct answer.

1 cup = 0.5 pint = 0.25 quart
0.5 pint x 2 = 1 cup
0.25 quart x 4 = 1 cup
blue 2 pints = 2 x 2 = 4 cups
green = 3 cups
orange = 1  1/2 quarts = 1.5 quarts
1.5 quart x 4 = 6 cups
yellow 1/2 cup
(4 + 3 + 6 + 1/2)(1.5)
= (13 + 1/2)(1.5)
= (13 + 0.5)(1.50
=(13.5)(1.5)
= $20.25

Reflect

Use what you learned about measurement to complete the graphic organizer below.

ESSENTIAL QUESTION?
How can I use measurement conversions to solve real-world problems?

Now reflect on the ESSENTIAL QUESTION. Write your answer below.
Answer:
design a room makeover or look at plans for such a project?
This is a real-world problem. Solving these types of problems depends on measuring fundamental units (like distance, mass and time), deriving units (like distances per time), and performing unit conversions (like converting between km and miles).
Metric system: There are various metric units used for measuring length, mass, area, and capacity. For example, millimetres, centimetres, meters, and kilometres are the metric units of the measurement of length. Grams and kilograms are the units for measuring weight.
Metric system conversions:
Metric system conversion means converting one metric unit to another.
Some of the most commonly used metric system conversion formulas are given below:
– To convert m to cm, multiply by 100.
– To convert cm to mm, multiply by 10.
– To convert km to m, multiply by 1000.
– To convert kg to grams, multiply by 1000.
– To convert grams to mg, multiply by 1000.
– To convert litres to kiloliters, divide by 1000.
– To convert ml to litres, divide by 1000.
Customary system:
The customary system of measurement, also called the U.S. Customary System, is based on the English system of measurement. In math, the customary system can be defined as a set of weights and measures used for measuring length, weight, capacity and temperature.
Conversions:
– Length and distances in the customary system are measured in inches, feet, yards and miles.
– Length and distances in the customary system are measured in inches, feet, yards and miles.
– The U.S customary capacity or volume measurement units are ounces, cups, pints, quarts, and gallons.
– The U.S customary temperature measurement unit is a degree Fahrenheit.  1 Degree Celsius = 33.8 Degree Fahrenheit.