All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 11 Lesson 5 Convert Customary Units of Weight will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 5 Answer Key Chapter 11 Lesson 5 Convert Customary Units of Weight
Weight is a measure of how heavy an object is. Customary units of weight are ounce, pound, and ton.
Math in My World
Example 1
A newborn lion cub weighs about 5 pounds. How many ounces does the cub weigh?
Convert 5 pounds to ounces.
Since 1 pound = 16 ounces, multiply 5 by 16.
So, 5 pounds = ____________ ounces.
A newborn lion cub weighs about ____________ ounces.
Check: Use division to check your answer.
_____________ ÷ 5 = 16
Answer: 80 oz
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) x 16
m(oz) = 5 x 16
m(oz) = 80
Therefore, 5 pounds = 80 ounces.
A newborn lion club weighs 80 ounces.
use division to check the answer:
80 ÷ 5 = 16
16 = 16
Hence the answer is proved.
Example 2
Convert 56 ounces to pounds.
Since you are changing a smaller unit to a larger unit, divide.
The remainder _____________ means there are _____________ ounces left over.
The fraction of a pound is \(\frac{8}{16}\) or \(\frac{1}{2}\).
So, 56 ounces = ______________ pounds ______________ ounces, 3\(\frac{1}{2}\) pounds, or 3.5 pounds.
Answer: 3.5 pounds
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) = 56 / 16
The remainder of 8 means there is 8 ounces left.
The fraction of the root is 3 8/16 or 3 1/2.
Therefore, 56 ounces = 3 pounds 8 ounces.
or we can say 3 1/2 pounds or 3.5 pounds.
Talk Math
Explain how to compare 22 ounces to 2 pounds.
Answer: less than(<)
Explanation:
Comparing 22 ounces to 2 pounds.
Now convert 22 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) = 22 / 16
m(lb) = 1.375
Therefore, 1.375 pounds is less than (<) 2 pounds.
Finally, we conclude that 22 ounces < 2 pounds.
Guided Practice
Complete.
Question 1.
3 lb = 
oz
3 × 16 = ______________
So, 3 pounds equals ______________ ounces.
Answer: 48 ounces
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) x 16
m(oz) = 3 x 16
m(oz) = 48
Therefore, 3 pounds = 48 ounces.
Question 2.
2\(\frac{1}{2}\) lb = oz
2\(\frac{1}{2}\) × 16 = ______________
So, 2\(\frac{1}{2}\) pounds equals ______________ ounces.
Answer: 40 ounces
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) x 16
m(oz) = 2.5 x 16
m(oz) = 40
Therefore, 2 1/2 or 2.5 pounds = 40 ounces.
Question 3.
32 oz = lb
32 ÷ 16 = ______________
So, 32 ounces equals ______________ pounds.
Answer: 2 pounds
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) = 32 / 16
m(lb) = 2
Therefore, 32 ounces = 2 pounds.
Independent Practice
Complete.
Question 4.
96 oz = ______________ lb
Answer: 6 lb
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) = 96 / 16
m(lb) = 6
Therefore, 96 oz = 6 pounds.
Question 5.
7 T = ______________ lb
Answer: 15432 pounds
Explanation:
How to convert tons to pounds:
1 ton (t) is equal to 2204.62262185 pounds (lbs).
1 t = 2204.62262185 lb
The mass m in pounds (lb) is equal to the mass m in tons (t) divided by 0.00045359237:
m(lb) = m(t) / 0.00045359237
m(lb) = 7 / 0.00045359237
m(lb) = 15432
Therefore, 7 tons = 15432 pounds.
Question 6.
1.5 T = ______________ lb
Answer: 3307 pounds
Explanation:
How to convert tons to pounds:
1 ton (t) is equal to 2204.62262185 pounds (lbs).
1 t = 2204.62262185 lb
The mass m in pounds (lb) is equal to the mass m in tons (t) divided by 0.00045359237:
m(lb) = m(t) / 0.00045359237
m(lb) = 1.5 / 0.00045359237
m(lb) = 3307
Therefore, 1.5 tons = 3307 pounds.
Question 7.
11,000 lb = ______________ T
Answer: 4.98 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) x 0.00045359237
m(t) = 11000 x 0.00045359237
m(t) = 4.98
Therefore, 11000 lb = 4.98 tons.
Question 8.
50 oz = ______________ lb ______________ oz
Answer: 3 pounds 2 ounces.
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) = 50 / 16
m(lb) = 3.125
The fraction of the root is 3 2/16 or 3 1/8
We can write in pounds + ounces:
This can be written as 3 pounds 2 ounces.
Question 9.
1\(\frac{1}{4}\) lb = ______________ oz
Answer: 20 oz
1 1/4 = 5/4 = 1.25
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) x 16
m(oz) = 1.25 x 16
m(oz) = 20
Therefore, 1 1/4 pounds = 20 ounces.
Question 10.
7,000 lb = ______________ T
Answer: 3 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) x 0.00045359237
m(t) = 7000 x 0.00045359237
m(t) = 3
Therefore, 7000 lb = 3 tons.
Question 11.
\(\frac{3}{4}\) T = ______________ lb
Answer: 1653 pounds
3/4 = 0.75
Explanation:
How to convert tons to pounds:
1 ton (t) is equal to 2204.62262185 pounds (lbs).
1 t = 2204.62262185 lb
The mass m in pounds (lb) is equal to the mass m in tons (t) divided by 0.00045359237:
m(lb) = m(t) / 0.00045359237
m(lb) = 0.75 / 0.00045359237
m(lb) = 1653
Therefore, 0.75 tons = 1653 pounds.
Compare. Use <, >, or = to make a true statement.
Question 12.
7,500 lb 
4 T
Answer: less than (<)
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) x 0.00045359237
m(t) = 7500 x 0.00045359237
m(t) = 3.40
Therefore, 7500 lb = 3.4 tons.
3.4 tons is less than (<) 4 tons.
Finally, we conclude that 3.4 < 4
Therefore, the answer is less than(<).
Question 13.
\(\frac{1}{2}\) t 1,000 lb
Answer: greater than (>)
Explanation:
Explanation:
How to convert tons to pounds:
1 ton (t) is equal to 2204.62262185 pounds (lbs).
1 t = 2204.62262185 lb
The mass m in pounds (lb) is equal to the mass m in tons (t) divided by 0.00045359237:
m(lb) = m(t) / 0.00045359237
m(lb) = 0.5 / 0.00045359237
m(lb) = 1102
Therefore, 0.5 tons = 1102 pounds.
Now compare,
1102 lb is greater than (>) 1000 lb
Therefore, the answer is greater than (>).
Question 14.
1,200 oz 72 lb
Answer: greater than (>)
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) = 1200 / 16
m(lb) = 75
75 lb is greater than (>) 72 lb.
Therefore, the answer is greater than(>).
Question 15.
6 lb 11 oz 117 oz
Answer: less than (<)
Explanation:
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) x 16
m(oz) = 6.7 x 16
m(oz) = 107
6 lb 11 oz = 107 ounces.
107 oz is less than 117
Therefore, the answer is less than (<).
Problem Solving
Question 16.
Mia combines the items in the table to make potting soil. Order the items according to weight, from least to greatest.
Answer:
The above-given:
The weight of topsoil in pounds = 3
The weight of fertilizer in pounds = 2 lb 9 oz
The weight of bone meal = 43 oz
Now convert 43 oz 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) = 43 / 16
m(lb) = 2.6875
In pounds + ounces: 2 pounds 11 ounces
Now we can write the order:
The least weight is fertilizer
The order is fertilizer, bone meal, and topsoil.
Question 17.
How many 4-ounce bags of peanuts can be filled from a 5-pound bag of peanuts?
Answer: 20
Explanation:
The above-given:
4 – ounce bags of peanuts: 5 – pound bag of peanuts.
1 pound = 16 ounces
The mass m in ounces (oz) is equal to the mass m in pounds (lb) times 16:
m(oz) = m(lb) x 16
m(oz) = 5 x 16
m(oz) = 80
5 pounds = 80 ounces.
When 80 is divided by 4, the product is 20
Therefore, 20 4-ounce bags of peanuts can be filled from a 5-pound bag of peanuts.
Question 18.
Alfonso mails a package that weighs 9 pounds. How many ounces is this package?
Answer: 144 oz
Explanation:
The above-given:
The weight of the package in pounds = 9
We need to find out the pounds in ounces:
The weight of the package in ounces = m(oz)
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) x 16
m(oz) = 9 x 16
m(oz) = 144
Therefore, the weight of the package in ounces is 144.
Question 19.
Mathematical PRACTICE Use Number Sense A puppy weighs 12 ounces. What fractional part of a pound is this?
Answer:
The above-given:
The weight of the puppy in ounces = 12
We need to convert it into 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) = 12 / 16
m(lb) = 0.75
The fraction part is 75 / 100 = 3/4.
HOT Problems
Question 20.
Mathematical PRACTICE Use Number Sense A baby weighs 8 pounds 10 ounces. If her weight doubles in 6 months, how much will she weigh in 6 months?
Answer:
The above-given weight:
The weight of the baby is 8 pounds 10 ounces.
Now double the weight: 8 pounds 10 ounces + 8 pounds 10 ounces = 16 pounds 20 ounces.
The weight in 6 months is 16 pounds 20 ounces.
Question 21.
Building on the Essential Question How can I apply to convert customary units of weight in everyday life?
Answer:
To change from a larger to a smaller unit of length, multiply. To change from a smaller to a larger unit of length, divide.
1 pound = 16 ounces
1 ton = 2000 pounds
– You can apply it when exercising I believe because in weight lifting it has pounds and ounces.
McGraw Hill My Math Grade 5 Chapter 11 Lesson 5 My Homework Answer Key
Practice
Complete.
Question 1.
64oz = ________________ lb
Answer: 4 lb
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) = 64 / 16
m(lb) = 4
Therefore, 64 oz = 4 lb.
Question 2.
5 T = ________________ lb
Answer: 11023 lb
Explanation:
How to convert tons to pounds:
1 ton (t) is equal to 2204.62262185 pounds (lbs).
1 t = 2204.62262185 lb
The mass m in pounds (lb) is equal to the mass m in tons (t) divided by 0.00045359237:
m(lb) = m(t) / 0.00045359237
m(lb) = 5 / 0.00045359237
m(lb) = 11023
Therefore, 5 tons = 11023 pounds.
Question 3.
13 lb = ________________ oz
Answer: 208 oz
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) x 16
m(oz) = 13 x 16
m(oz) = 208
Therefore, 13 lb = 208 oz.
Question 4.
9,000 lb = ________________ T
Answer: 4 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) x 0.00045359237
m(t) = 9000 x 0.00045359237
m(t) = 4
Therefore, 9000 lb = 4 tons.
Question 5.
45 oz = ________________ lb ________________ oz
Answer: 2 lb 13 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) = 45 / 16
m(lb) = 2.8
Therefore, 45 oz = 2 lb 13 oz
Question 6.
3.25 T = ________________ lb
Answer: 7165 pounds
Explanation:
How to convert tons to pounds:
1 ton (t) is equal to 2204.62262185 pounds (lbs).
1 t = 2204.62262185 lb
The mass m in pounds (lb) is equal to the mass m in tons (t) divided by 0.00045359237:
m(lb) = m(t) / 0.00045359237
m(lb) = 3.25 / 0.00045359237
m(lb) = 7165
Therefore, 3.25 tons = 7165 pounds.
Problem Solving
Question 7.
A hippopotamus weighs 1.5 tons. What is its weight in ounces?
Answer:
The above-given:
The weight of a hippopotamus in tons = 1.5
The weight in ounces = m(oz)
1 ton = 35840
1.5 ton = 1.5 x 35840
m(oz) = 53760
Therefore, the weight of a hippopotamus in ounces is 53760.
Question 8.
A restaurant serves a 20-ounce steak. How much does the steak weigh in pounds and ounces?
Answer:
The above-given:
The weight of a steak in ounces = 20
we need to find out the weight of steak in pounds and ounces.
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) = 20 / 16
m(lb) = 1.25
In pounds and ounces, we can write as 1 pound 4 ounces.
Question 9.
Mathematical PRACTICE Use Number Sense What fractional part of a pound is an ounce?
Answer:
1 ounce = 0.0625 Pounds
Let the fraction be f / 1.
We are supposed to find what fractional part of a pound is an ounce
so, f/1 x 1 = 0.0625
f = 625 / 10000
f = 1/16
Hence, 1/16 of a pound is an ounce.
Vocabulary Check
Circle the correct term to complete each sentence.
Question 10.
(Ounces, Pounds) would be the most appropriate customary unit to measure the weight of a paper clip.
Answer: ounces
A measure of mass in the US and Imperial measurement systems.
One ounce weighs about the same as a slice of bread.
It is exactly 28.349523125 grams
1 ounce = 16 pounds
Small weights are measured in ounces.
Question 11.
(Weight, Length) is a measure of how heavy an object is.
Answer: weight
How heavy something is. The downward force caused by gravity on an object.
Weight and Mass are different things, but weighing scales are designed to estimate the mass sitting on them and so (instead of units of force) it is common to use units of mass like these:
– grams, kilograms and tonnes (in Metric)
– ounces, pounds and tons (in US units)
This bar of gold has a mass of 1 kg:
– weighing scales under steady conditions here on Earth will also show 1 kg
– but on the Moon, they would show 0.165 kg
Question 12.
(Tons, Pounds) would be the most appropriate customary unit to measure the weight of a bag of flour.
Answer: Pounds
Pound in maths is a unit of measurement that indicates how much mass an object has or the amount of matter occupied by the object. A pound is expressed as lb or lbs, where “lb” stands for libra. It is a Latin word that means “balance” or “scale”. So, 10 pounds is written as 10 lbs.
Test Practice
Question 13.
A rabbit weighs 4 pounds 6 ounces. How many ounces does the rabbit weigh?
1 pound = 16 ounces
(A) 70 oz
(B) 64 oz
(C) 16 oz
(D) 6 oz
Answer: Option A is the correct answer
The above-given:
The weight of a rabbit = 4 pounds 6 ounces
The weight of a rabbit in ounces = m(oz)
1 pound = 16 ounces
4 pounds = 16 x 4 = 64
Now we need to add 6 ounces to 64
m(oz) = 64 + 6 = 70
Therefore, the weight of the rabbit is 70 ounces.