We included HMH Into Math Grade 5 Answer Key PDF Module 12 Lesson 1 Convert Customary Measurements to make students experts in learning maths.
HMH Into Math Grade 5 Module 12 Lesson 1 Answer Key Convert Customary Measurements
I Can compare and convert customary units of measurement.
Spark Your Learning
Mount Rainier, in the state of Washington, is one of the snowiest places on Earth. During one winter snowstorm, a meteorologist predicted 15^ feet of snow at Mount Rainier. Another meteorologist predicted 15\(\frac{1}{2}\) inches of snow. Which snow prediction is greater? By how much?
Show your thinking
Answer:
Explanation:
1 feet = 12 inches
15 x 12 = 180 inches.
15\(\frac{1}{2}\) inches can be written as 15.5 inches
180 – 15 = 165 inches
It is greater by 165 inches
Turn and Talk Which conversion do you find easier— converting feet to inches or inches to feet? Explain.
Answer:
Multiplication is easier than division
converting feet to inch is multiplication
multiply the given length by 12 for feet to inches
Converting inches to feet is division
Divide the given length by 12 for inches to feet
Build Understanding
Question 1.
Aliyah converts 8 pints to gallons using a visual representation.
A. Look at Aliyah’s diagram. Which unit is the smallest? How do you know?
Answer:
Pint is the smallest unit
1 galloon = 8 pints
B. Which unit is the largest? How do you know?
Answer:
Galloon is the largest unit.
because 1 gallon = 4 quarts and 8 pints.
C. Are there more or fewer of the smaller unit?
Answer:
More for the smaller unit and fewer for the larger unit.
1 galloon = 8 pints
D. Are there more or fewer of the larger unit?
Answer:
More for the smaller unit and fewer for the larger unit.
1 galloon = 8 pints
E. What operation do you use to convert from a smaller unit to a larger unit?
Answer:
We have to divide for converting smaller to a larger unit.
8 pints = 1 gallon
F. Look at the liquid volume conversions in the table. How would you convert a number of fluid ounces to a number of cups? How do you know?
Answer:
1 cup = 8 fluid ounces
G. How many cups are in 32 fluid ounces?
Answer:
32 divided by 8 = 4
so, there are 4 cups in 32 fluid ounces
Turn and Talk How would the steps change if the picture was reversed and you had to convert from gallons to pints?
Answer:
We have to multiply for converting gallons to pints
1 x 4 quarts
1 galloon = 4 quarts
4 x 2 = 8 pints
1 quart = 2 pints.
Step It Out
Question 2.
A cubic foot of light, fluffy snow weighs about 88 ounces. About how many pounds does a cubic foot of light, fluffy snow weigh?
A. How many ounces are equal to 1 pound?
Answer:
1 pound = 16 ounces
16 ounces are equal to 1 pound
B. Look at the weight conversions in the table. How do you convert a number of ounces to a number of pounds? How do you know?
Customary Weight Conversions
1 pound (lb) = 16 ounces (oz)
1 ton (T) = 2,000 pounds
Answer:
88 divide by 16 = 5.5 pounds
C. Write an expression to find the number of pounds of snow.
Answer:
let the unknown Number of pounds of snow is N
n= total weight ÷ 16
n = 88 ÷ 16
n = 5.5
D. How much does a cubic foot of light, fluffy snow weighing approximately 88 ounces weigh in pounds and ounces?
________ lb ________ oz
Answer:
8 lb 8 oz
8 pounds and 8 ounces.
cubic foot of light, fluffy snow weighing approximately 8 lb 8 oz
E. What fraction of a pound is the number of ounces? How do you know?
Answer:
There are 16 ounces in 1 pound.
so, 5\(\frac{1}{2}\) is the fraction of a pound is the number of ounces
F. How many pounds does the cubic foot of snow weigh?
Answer:
let the unknown Number of pounds of snow is N
n= total weight ÷ 16
n = 88 ÷ 16
n = 5.5
8 lb 8 oz pounds that the cubic foot of snow weigh
Turn and Talk How would you convert back to ounces if you were given the weight of the snow in pounds?
Answer:
Multiply the mass value by 16
1 pound = 16 ounces
if the cubic foot of snow weigh 8 pounds then it is converted as 8 x 16 = 128 ounces.
Question 3.
A frog jumps 48 inches. How many yards does the frog jump? Sometimes you may need to use more than one conversion.
A. How can you use the length conversions in the table to convert from inches to yards?
Answer:
1 yard = 36 inches
divide the length value by 36
B. How do you convert a number of inches to a number of feet?
Answer:
We have to divide the length value by 12
1 feet = 12 inches
C. How many feet are in 48 inches?
Answer:
1 feet = 12 inches
We have to divide the value by 12
48 divide by 12 = 4
Frog jumps 4 feet
D. How do you convert a number of feet to a number of yards?
Answer:
We have to divide the length value by 3
1 yard = 3 feet
E. Write the number of yards as a mixed number. How many yards does the frog jump?
Answer:
1 yard = 36 inches
We have to divide the length value by 36
48 divide by 36 = 1 yard12 inch
1\(\frac{1}{3}\) = \(\frac{4}{3}\)
48 ÷ 36 = \(\frac{4}{3}\)
Frog jumps 1\(\frac{1}{3}\) yards
Turn and Talk For each of the three tasks, you converted a smaller unit of measurement to a larger unit. What conclusion can you draw about this kind of conversion?
Answer:
We have to divide the given length to convert a smaller unit of measurement to a larger unit.
Check Understanding
Question 1.
There are about 18 cups of water in a cubic foot of snow. About how many pints of water are in a cubic foot of snow?
Answer:
9 pints
Explanation:
1 pint = 2 cups
18 ÷ 2 = 9
so, 9 pints of water are in a cubic foot of snow
Convert.
Question 2.
90 in. = __________ ft
Answer:
90 in. = 7.5 ft
Explanation:
We have to divide the given length by 12
1 feet = 12 inch
90 ÷ 12 = 7 feet 6 inch that is 7.5 feet
Question 3.
100 oz = __________ lb __________ oz
Answer:
100 oz = 6 lb 4 oz
Explanation:
We have to divide the mass value by 16
100 ÷ 16 = 6.25
that is 6 pounds and 4 ounces
On Your Own
Question 4.
STEM Gold is a rare element. Its properties make it a valuable natural resource. The soft metal is used to make items such as coins and jewelry. Gold conducts electricity and often is used in the manufacturing of electronics. The largest gold nugget found with a metal detector weighs 960 ounces. If the value of gold is about $20,000 for one pound, what is the value of the nugget?
Answer:
1,200,000 is the value of the nugget
Explanation:
1 pound = 16 ounces
We have to divide the given mass by 16
to convert from ounces to pounds.
960 divided by 16 = 60
60 pounds = 960 ounces
60 x $20,000 = 1200000
Question 5.
Construct Arguments Will a 24-gallon tank hold 200 pints of water? Explain.
Answer:
No
Explanation:
We have to multiply the volume value by 8
24 x 8 = 192 pints
a 24-gallon tank hold 192 pints of water.
Convert.
Question 6.
126 in. = __________ ft __________ in.
Answer:
126 in. = 10 ft 6 in.
Explanation:
We have to divide the length value by 12
126 ÷ 12 = 10.5 feet that is 10 feet 6 inches
Question 7.
20 fl oz = __________ c __________ fl oz
Answer:
20 fl oz = 2 c 4 fl oz
Explanation:
1 cup = 8 fl oz
We have to divide the volume value by 8
20 ÷ 8 = 2.5 that is 2 c and 4 fl oz
Question 8.
160 fl oz = __________ qt
Answer:
160 fl oz = 20 qt
Explanation:
1 quart = 32 fluid ounces.
We have to divide the volume by 8
160 ÷ 8 = 20
Question 9.
72 qt = __________ gal
Answer:
72 qt = 18 gal
Explanation:
1 galloon = 4 quarts
We have to divide the volume value by 4
72 ÷ 4 = 18 gal
Question 10.
104 oz = __________ lb
Answer:
104 oz = 6.5 lb
Explanation:
1lb = 16 ounces
We have to divide the mass value by 16
104 ÷ 16 = 6.5 lb that is 6 lb and 8 oz
Question 11.
4,200 lb = __________ T
Answer:
4,200 lb = 1.8 T
Explanation:
We have to divide the mass value by 2240
1 T = 2240 pounds
4200 ÷ 2240 = 1.8 T
Question 12.
23 ft = __________ yd __________ ft
Answer:
23 ft = 7 yd 2 ft
Explanation:
1 yard = 3 feet
We have to divide the given length by 3
23 ÷ 3 = 7 yard and 2 feet
21 + 2 = 23
Question 13.
132 in. = __________ yd
Answer:
132 in. = 3 yd 24 inches
Explanation:
1 yard = 36 inches.
We have to divide the length value by 36
132 ÷ 36 = 3.6 yards that is 3 yards and 24 inches
Question 14.
An elephant at the zoo weighs 4\(\frac{1}{2}\) tons. How many pounds does the elephant weigh?
Answer:
10080 pounds
Explanation:
We have to multiply the mass value by 2240
4\(\frac{1}{2}\) tons x 2240
\(\frac{9}{2}\) x 2240 = 10080 pounds
10080 pounds that the elephant weigh.
Question 15.
A quarterback completed passes to his receivers and gained a total of 2,640 yards. How many miles was this?
Answer:
1.5 miles.
Explanation:
1 mile = 1760 yards
We have to divide the length value by 1760
2640 ÷ 1760 = 1.5 miles
Question 16.
A typical adult drinks 20 cups of warm beverages each week. How many gallons of warm beverages does a typical adult drink each week?
Answer:
1.25 gallon
Explanation:
1 gallon = 16 cups
20 ÷ 16 = 1 gallon and 4 cups
1 gallons of warm beverages that a typical adult drink each week
Question 17.
The world record for the longest mustache is 14 feet. How many yards and inches is this?
Answer:
longest mustache in yard = 4 yard 2 feet
longest mustache in inches= 168 inches.
Explanation:
1 yard = 3 feet
14 feet divided by 3 = 4 yard 2 feet
1 feet = 12 inches
We have to multiply by 12
14 x 12 = 168 inches
Question 18.
Reason If you multiply by a factor of 16 to convert a larger unit of measurement to a smaller unit, by what factor would you multiply to convert the smaller unit of measurement to the larger unit? Explain your reasoning.
Answer:
We have to divide
Explanation:
1 gallon =16 cups
We have to multiply the volume value by 16
to covert the smaller unit to a larger unit
To convert from a larger unit to a smaller unit, multiply.
To convert from a smaller unit to a larger unit, divide.
Question 19.
Open-Ended Write a word problem that involves converting between pints and fluid ounces, and give the answer.
Answer:
1 pint = 16 fluid ounces.
Explanation:
The cow gives the milk of 12 pints
how many ounce of milk does we get.
12 x 16 = 192 fluid ounces.
I’m in a Learning Mindset!
What strategies did I use to organize the information for comparing and converting customary units of measurement?
Answer:
To convert from a larger unit to a smaller unit, multiply.
To convert from a smaller unit to a larger unit, divide.