All the solutions provided in McGraw Hill My Math Grade 4 Answer Key PDF Chapter 11 Lesson 1 Customary Units of Length will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 11 Lesson 1 Customary Units of Length
Length is the measurement of a line between two points. Inch, foot, and yard are units that are part of the customary system of measure for length.
Math in My World
Example 1
The actual size of a neon damsel marine fish is shown. How long is this fish to the nearest inch, \(\frac{1}{2}\) inch, and \(\frac{1}{4}\) inch?
1. Measure to the nearest inch.
Compare the length to what you know about inches. Record the length in the table.
Answer:
2. Measure to the nearest \(\frac{1}{2}\) inch.
Using a ruler, measure the length of the fish to the nearest \(\frac{1}{2}\) inch. Record the length in the table.
Answer:
The length of fish to the nearest \(\frac{1}{2}\) inch is 10\(\frac{1}{2}\) inches.
3. Measure to the nearest \(\frac{1}{4}\) inch.
Measure the length of the fish to the nearest \(\frac{1}{4}\) inch. Record the length in the table.
Answer:
The length of fish to the nearest \(\frac{1}{4}\) inch is 10\(\frac{1}{4}\) inches.
Example 2
Choose the best estimate for the the caterpillar.
(A) 2 inches
(B) 20 inches
(C) 20 feet
(D) 2 yards
A caterpillar is small. So, inches are better estimates than feet or yards. Since 20 inches is more than a foot and is too big, the best estimate is _______________.
Answer:
The estimated length of caterpillar is 2 inches.
Since 20 inches is more than a foot and is too big, the best estimate is 2 inches.
Option A is correct.
Guided Practice
Estimate. Then measure each to the nearest inch, \(\frac{1}{2}\) inch, and \(\frac{1}{4}\) inch.
Question 1.
Answer:
The estimated length of the butterfly to nearest inch is 3 inches.
The estimated length of the butterfly to nearest \(\frac{1}{2}\) inch is 3\(\frac{1}{2}\) inches.
The estimated length of the butterfly to nearest \(\frac{1}{4}\) inch is 3\(\frac{1}{4}\) inches.
Question 2.
Answer:
The estimated length of the given figure to nearest inch is 4 inches.
The estimated length of the given figure to nearest \(\frac{1}{2}\) inch is 4\(\frac{1}{2}\) inches.
The estimated length of the given figure to nearest \(\frac{1}{4}\) inch is 4\(\frac{1}{4}\) inches.
Question 3.
Choose the best estimate for the length.
(A) 12 inches
(B) 4 feet
(C) 12 feet
(D) 4 yards
Answer:
The estimated length of cycle is 4 feet.
Option B is correct.
Math Talk
Why do you think there is more than one unit of length for measure?
Answer:
We need more than one unit of length for measurement because different items are measured using different units. Smaller items are measured using small units and the larger items are used using larger units.
For example, butterfly can be measured using smaller units such as centimeter or inches and the cycle can be measured using larger units such as feet.
Independent Practice
Estimate. Then measure each to the nearest inch, \(\frac{1}{2}\) inch, and \(\frac{1}{4}\) inch.
Question 4.
Answer:
The estimated length of the given figure to nearest inch is 2 inches.
The estimated length of the given figure to nearest \(\frac{1}{2}\) inch is 2\(\frac{1}{2}\) inches.
The estimated length of the given figure to nearest \(\frac{1}{4}\) inch is 2\(\frac{1}{4}\) inches.
Question 5.
Answer:
The estimated length of the given figure to nearest inch is 6 inches.
The estimated length of the given figure to nearest \(\frac{1}{2}\) inch is 6\(\frac{1}{2}\) inches.
The estimated length of the given figure to nearest \(\frac{1}{4}\) inch is 6\(\frac{1}{4}\) inches.
Question 6.
Answer:
The estimated length of the given figure to nearest inch is 1 inches.
The estimated lengthof the given figure to nearest \(\frac{1}{2}\) inch is 1\(\frac{1}{2}\) inches.
The estimated length of the given figure to nearest \(\frac{1}{4}\) inch is 1\(\frac{1}{4}\) inches.
Question 7.
Answer:
The estimated length of the given figure to nearest inch is 4 inches.
The estimated length of the given figure to nearest \(\frac{1}{2}\) inch is 4\(\frac{1}{2}\) inches.
The estimated length of the given figure to nearest \(\frac{1}{4}\) inch is 4\(\frac{1}{4}\) inches.
Choose the best estimate for each length.
Question 8.
length of a whistle
(A) 2 yards
(B) 2 feet
(C) 12 inches
(D) 2 inches
Answer:
The estimated length of a whistle is 2 inches.
Option D is correct.
Question 9.
length of a chalkboard
(A) 1 foot
(B) 2 feet
(C) 1 yard
(D) 2 yards
Answer:
The estimated length of a whistle is 2 yards.
Option D is correct.
Problem Solving
Question 10.
Patrice found a book that was 2\(\frac{1}{4}\) inches thick. She stacked it with another book that was the same thickness. How tail was the stack?
Answer:
Given that Patrice found a book of thickness 2\(\frac{1}{4}\) inches.She stacked it with another book of the same thickness.
Total length of book will be 2\(\frac{1}{4}\) + 2\(\frac{1}{4}\)
(2×\(\frac{4}{4}\)+\(\frac{1}{4}\)) + (2×\(\frac{4}{4}\)+\(\frac{1}{4}\))
(\(\frac{8}{4}\)+\(\frac{1}{4}\)) + (\(\frac{8}{4}\)+\(\frac{1}{4}\))
\(\frac{9}{4}\)+\(\frac{9}{4}\)
\(\frac{18}{4}\)
The stack will be \(\frac{18}{4}\) inches long.
Question 11.
Helki found a stick that was 5\(\frac{3}{4}\) feet long. He needed one that was about 5 feet long. Is it reasonable to say that this stick will work? Explain.
Answer:
Helki needs stick of length 5 feet but he found 5\(\frac{3}{4}\) feet long.
As 5\(\frac{3}{4}\) feet is nearest \(\frac{3}{4}\) to 5.Therefore, it will be reasonable to say that this stick will work.
Question 12.
Mathematical PRACTICE Model Math Addison needs 6 feet of string for an art project. Her teacher gave her 3 pieces of string, each measuring 2\(\frac{1}{2}\) feet. Does she have enough string? Explain.
Answer:
Addison has 3 strings of length 2\(\frac{1}{2}\) feet.
Therefore, the total length will be 3 × 2\(\frac{1}{2}\)
3 × (2\(\frac{1}{2}\))
3 × ((2×\(\frac{2}{2}\))+\(\frac{1}{2}\))
3 × ((\(\frac{4}{2}\))+\(\frac{1}{2}\))
3 × \(\frac{5}{2}\)
\(\frac{15}{2}\) or 7.5 feet
Addison needs 6 feet of string for an art project, but her teacher gave her 7.5 feet of string, which is 7.5-6=1.5 feet more than the required length.
Thus, we can say that she had enough string.
HOT Problems
Question 13.
Mathematical PRACTICE Use Math Tools Find two objects in your classroom that are each longer than two inches and shorter than 4 inches. How did you use estimation in selecting objects?
Answer:
The length of chalk is 2 inches and the length of book is 4 inches.
Question 14.
Building on the Essential Question Name two customary units of length. Which measurement is more accurate? Explain.
Answer:
The customary units to measure length in the customary system are inches and feet.
McGraw Hill My Math Grade 4 Chapter 11 Lesson 1 My Homework Answer Key
Practice
Estimate. Then measure each to the nearest inch, \(\frac{1}{2}\) inch, and \(\frac{1}{4}\) inch.
Question 1.
Answer:
The estimated length of the given figure to nearest inch is 4 inches.
The estimated length of the given figure to nearest \(\frac{1}{2}\) inch is 4\(\frac{1}{2}\) inches.
The estimated length of the given figure to nearest \(\frac{1}{4}\) inch is 4\(\frac{1}{4}\) inches.
Question 2.
Answer:
The estimated length of the given figure to nearest inch is 1 inch.
The estimated length of the given figure to nearest \(\frac{1}{2}\) inch is 1\(\frac{1}{2}\) inches.
The estimated length of the given figure to nearest \(\frac{1}{4}\) inch is 1\(\frac{1}{4}\) inches.
Which customary unit-inch, foot, or yard-is best for measuring the length of each of the following?
Question 3.
baseball ______________
Answer:
Inch is best for measuring the length of baseball.
Question 4.
refrigerator ______________
Answer:
Foot is best for measuring the length of refrigerator.
Question 5.
football field ______________
Answer:
Yard is best for measuring the length of football field.
Question 6.
jump rope ______________
Answer:
Inch is best for measuring the length of jump rope.
Question 7.
parking lot ______________
Answer:
Yard is best for measuring the length of parking lot.
Question 8.
shoe ______________
Answer:
Inch is best for measuring the length of shoe.
Problem Solving
Question 9.
Brice needs 2 feet of ribbon to tie a bow around a birthday present. He has 3 feet of ribbon. Is that enough?
Answer:
Brice needs 2 feet of ribbon to tie a bow around a birthday present but He has 3 feet of ribbon, which is 3-2=1 feet more than the required length.
Thus, we can say that he had enough ribbon.
Question 10.
Clark says that his parents’ car is 96 units long. Jay says that his parents’ car is 8 units long. Which customary unit of length was each person using?
Answer:
Clark says that his parents’ car is 96 units long. Jay says that his parents’ car is 8 units long.
Clark measured the length in inches and Jay measured the length in foot.
Question 11.
Mathematical PRACTICE Check for Reasonableness Glenna says that the height of her house is 1 yard. Is her claim reasonable?
Answer:
Glenna says that the height of her house is 1 yard.
No, because I am taller than that, three feet equals one yard. So I’m confident that her house cannot be any shorter
Vocabulary Check
Write a vocabulary term in the correct space to complete each sentence.
customary
foot
yard
Question 12.
An inch is one kind of _______________ unit for measuring length.
Answer:
An inch is one kind of customary unit for measuring length.
Question 13.
A textbook is about 1 _______________ long.
Answer:
A textbook is about 1 foot long.
Question 14.
A door is about 1 _______________ wide.
Answer:
A door is about 1 yard wide.
Test Practice
Question 15.
Which is the best estimate for the length of a pencil?
(A) 6 inches
(B) 6 feet
(C) 6 yards
(D) 60 yards
Answer:
Inch is the best estimate for the length of a pencil.
Therefore, 6 inches will be correct.
Option A will be correct.