All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 11 Lesson 1 Measure with a Ruler will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 5 Answer Key Chapter 11 Lesson 1 Measure with a Ruler
Length is the measurement of the distance between two points. You can use a ruler to measure the length of objects to the nearest half inch or quarter inch.
If you measure an object to a smaller unit of measure, you get a more precise or accurate measurement.
Measure It
The width of a button is the length of the widest part of the button. Find the width of the button to the nearest half-inch and quarter-inch.
1. Place the ruler against one edge of the object. Line up the zero on the ruler with the end of the object.
2. Find the half-inch mark that is 4 closest to the other end. Repeat for the quarter-inch mark.
To the nearest half inch, the button is ______________ inches wide.
To the nearest quarter inch, it is _______________ inches wide.
Answer:
To the nearest half-inch, the button is 1 1/2 inches wide.
To the nearest quarter inch, it is 1 3/4 inches wide.
Try It
Find the length of a paper clip to the nearest half-inch and quarter-inch.
1. Place the ruler against one edge of the object. Line up the zero on the ruler with the end of the object.
2. Find the half-inch mark that is closest to the other end. Repeat for the quarter-inch mark.
To the nearest half inch, the paper clip is _______________ inches long.
To the nearest quarter inch, it is _______________ inches long.
Answer:
Now take a paper clip assuming that a smaller clip is 1.5 inches and the larger paper clip was 15/16 inches long
so the nearest half inch is 2.
To the nearest quarter inch, it is 1 3/4 inches long.
Talk About It
Question 1.
Explain how you can tell the difference between the half-inch and quarter-inch marks when measuring an object with a ruler.
Answer:
One-fourth of 1 inch. Look at a ruler and divide a half inch in half that’s a quarter inch.
The half-inch line is halfway between the inch marks. The quarter-inch marks divide an inch into fourths.
Question 2.
Will you ever have the same answer when measuring to the nearest half inch and measuring to the nearest quarter inch? Explain your reasoning.
Answer:
If you are measuring to the nearest half-inch then the fractional part has possible answers would be either no fraction and a half for example 14 and 5 1/2 would be possible.
If you are measuring to the nearest quarter inch then the fractional part of the possible answer would be either no fraction, 1/4 which is the same as 1/2 and 3/4. That means possible answers are 14, 7 1/4, 5 1/2, and 6 3/4.
Question 3.
Mathematical PRACTICE Be Precise Circle the more precise measurement of the button in the first activity.
Answer:
The above-given:
1 1/2 inches which are in mixed fraction now convert into the improper fraction.
1 1/2 = 3/2 = 1.5
1 3/4 = 7/4 = 1.75
Practice It
Measure the length of each to the nearest half-inch and quarter inch.
Question 4.
Half Inch: _______________
Quarter Inch: _______________
Answer:
We have to write the measurement for a given ground nut.
Now place a ruler to measure the half-inch and quarter-inch.
– Here we placed an online ruler so we got the answers:
– The nearest half-inch is 1 1/2
– The nearest quarter-inch 1 3/4
Question 5.
Half Inch: _______________
Quarter Inch: _______________
Answer:
We have to write the measurement for a given fish
Now place a ruler to measure the half-inch and quarter-inch.
– Here we placed an online ruler so we got the answers:
– The nearest half-inch is 2 1/2
– The nearest quarter-inch 2 1/2
Find the length of each object to the nearest half inch and quarter inch.
Question 6.
width of a book
Answer:
For measuring your book, you will need:
– A book you want to measure
– A long ruler
– A sturdy, flat object
– A flat surface to work on
Measuring the width:
Measure the width With the long edge of your book lined up against your sturdy object, place your ruler down on the flat surface. Then place the short edge of your ruler against the sturdy object, with the long edge flush against the bottom of your book.
The nearest half-inch is 8 1/2 inches
The nearest quarter-inch is 8 3/4 inches.
Question 7.
length of a pencil
Answer:
According to the reference:
– Measuring the length of a pencil is an important task for anyone who wants to keep track of how much product they are using. There are a number of ways to measure the length of a pencil, and each one has its own advantages and disadvantages. Here are some methods for measuring the length of a pencil:
-With a ruler: This is the most accurate way to measure the length of a pencil, but it requires some preparation beforehand. You need to have a ruler that is marked in inches, and you need to be able to accurately read it.
– Different types of pencils come in different lengths. The average length of a pencil is about 3.5 inches. The shortest pencil is about 1 inch, and the longest is about 7 inches when it is not sharpened.
– We can write the nearest half-inch when the pencil is sharpened is 7 1/2 inches. The nearest quarter inch is 7 1/2 inches.
Question 8.
width of a calculator
Answer:
According to the shape of the calculator, we need to measure the width.
Now if we take the square calculator then the nearest half-inch is 3 inches and the quarter-inch is 3 inches.
Now observe the diagram represented below:
– Now assume the square box as a calculator and show its length and width which is 3 units.
Question 9.
length of a tape dispenser
Answer:
The length of an actual tape dispenser is about six inches.
The length of the tape dispenser to the nearest quarter-inch is 5 3/4 inches.
Draw a line segment with each of the following lengths.
Question 10.
1\(\frac{1}{4}\) inches
Answer:
A line segment definition is that it is enclosed between two points on the plane. In other words, you can say that a line segment is a part of a line that is connected by two points. The difference between line and line segment is that the line segment had two endpoints whereas the line extends indefinitely. The metric units in which a line can be measured are centimetres, millimetres, meters, inches, or feet.
The above-given inches are 1 1/4.
The line segment is represented below:
Question 11.
2\(\frac{1}{2}\) inches
Answer:
A line segment definition is that it is enclosed between two points on the plane. In other words, you can say that a line segment is a part of a line that is connected by two points. The difference between line and line segment is that the line segment had two endpoints whereas the line extends indefinitely. The metric units in which a line can be measured are centimetres, millimetres, meters, inches, or feet.
The above-given inches are 2 1/2
The line segment is represented below:
Question 12.
3\(\frac{3}{4}\) inches
Answer:
A line segment definition is that it is enclosed between two points on the plane. In other words, you can say that a line segment is a part of a line that is connected by two points. The difference between line and line segment is that the line segment had two endpoints whereas the line extends indefinitely. The metric units in which a line can be measured are centimetres, millimetres, meters, inches, or feet.
The above-given inches are 3 3/4
The line segment is represented below:
Apply It
Question 13.
The length of a remote-controlled car is 8\(\frac{1}{2}\) inches to the nearest half-inch and 8\(\frac{1}{4}\) inches to the nearest quarter inch. Which measurement is more precise?
Answer:
The above-given:
The length of the remote-controlled car to the nearest half-inch = 8 1/2
The length of the remote-controlled car to the nearest quarter-inch = 8 1/4
Two samples are given: 8 1/2, and 8 1/4 respectively, which means, there is a variation in the measurements. Thus, the scale measures the cars precisely, but not accurately. Therefore, the measurements of the two samples are precise. But the smaller fraction is more precise so 8 1/4 is more precise.
Question 14.
Mathematical PRACTICE Be Precise Carrie and Sam each measured the length of their cat’s tail. Carrie measured the length to the nearest half-inch. Her measurement was 6\(\frac{1}{2}\) inches. Sam measured the length to the nearest quarter inch. His measurement was 6\(\frac{3}{4}\) inches. Circle the correct description of the actual measurement of the cat’s tail.
less than 6\(\frac{1}{2}\) in.
between 6\(\frac{1}{2}\) in. and 6\(\frac{3}{4}\) in.
greater than 6\(\frac{3}{4}\) in.
Answer:
The length of the tail to the nearest half-inch = 6 1/2
The length of the tail to the nearest quarter-inch = 6 3/4
Precision refers to how consistent any given values are with each other. It shows the closeness of the given values or measurements with each other. It is irrelevant to the ‘correct’ or closest to an expected value of any given measurement.
Question 15.
Mathematical PRACTICE Find the Error James used a ruler to measure a piece of string. James said the string is 2\(\frac{1}{2}\) inches long. Find his mistake and correct it.
Answer:
There are two sides of a ruler, centimetre/millimetre and inches. The steps to measure length using a ruler are given below:
Step 1: Choose the unit in which you want to measure length. If you want a value in centimetres, then take the centimetres side of the ruler. If in inches, then take the inches side of the ruler.
Step 2: Place the object beside the ruler starting from point 0 on it.
Step 3: Look at the endpoint and mark the value.
-in the above figure, the length of the string is measured in the wrong way.
The correct way to measure the string is shown below:
Write About It
Question 16.
When might you want to measure the length of an object to the nearest quarter inch as opposed to the nearest half-inch?
Answer:
– When its length is a little over a quarter inch only.
– A quarter inch can also be expressed as 0.25 inches and a half inch can be expressed as 0.5 inches. We might want to measure the length of an object to the nearest quarter inch when its length is a little over a quarter inch only but not very near to 0.5 inches.
McGraw Hill My Math Grade 5 Chapter 11 Lesson 1 My Homework Answer Key
Practice
Measure the length of each to the nearest half-inch and quarter-inch.
Question 1.
Answer:
The ball to the nearest half-inch is 1/2
The ball to the nearest quarter-inch is 1/2
The measurement is shown below:
Question 2.
Answer:
The nearest half-inch is 1 1/2
The nearest quarter-inch is 1 1/4
The measurement is shown below:
Find the length of each object to the nearest half-inch and quarter-inch.
Question 3.
width of an MP3 player
Answer:
– Take an MP3 player
– measure with a ruler.
– There will be different measurements because MP3 players will also have different measurements.
– Here I got the nearest half-inch is 2 1/2
– The nearest quarter-inch is 2 1/2.
Question 4.
length of a stapler
Answer:
– Take a stapler and measure with the ruler.
– There are two types of staplers large and mini.
– Here I am having the large stapler so I am measuring that.
– The nearest half-inch I got is 5 inches
– The nearest quarter-inch is 4 3/4 inches.
Draw a line segment with each of the following lengths.
Question 5.
2\(\frac{1}{4}\) inches
Answer:
A line segment definition is that it is enclosed between two points on the plane. In other words, you can say that a line segment is a part of a line that is connected by two points. The difference between line and line segment is that the line segment had two endpoints whereas the line extends indefinitely. The metric units in which a line can be measured are centimetres, millimetres, meters, inches, or feet.
The above-given inches are 2 1/4.
The line segment is represented below:
Question 6.
\(\frac{3}{4}\) inch
Answer:
A line segment definition is that it is enclosed between two points on the plane. In other words, you can say that a line segment is a part of a line that is connected by two points. The difference between line and line segment is that the line segment had two endpoints whereas the line extends indefinitely. The metric units in which a line can be measured are centimetres, millimetres, meters, inches, or feet.
The above-given inches are 3/4
The line segment is represented below:
Vocabulary Check
Question 7.
Choose the correct word(s) to complete the sentence below.
Length is the measurement of ______________ between two points.
Answer:
Length is the measurement of any object between two points.
Measuring length means measurement of the length of any object with the help of measuring tools like a ruler, measuring tape, etc. For example, the length of a pencil can be measured in inches using a ruler. The height of students in a class can be measured using a feet scale. There are units of length like inches, centimetres, meters, feet, etc.
Problem Solving
Question 8.
The height of Josie’s dog is 11\(\frac{1}{4}\) inches to the nearest quarter inch and 11 inches to the nearest half-inch. Which measurement is more precise?
Answer:
11 1/4 is more precise.
Both measurements are correct if you’re rounding the dog’s height. But the more precise measurement would be 11 1/4. Mainly because it’s a smaller fraction so it has more meaning to it instead of 11.
It would get more precise as the fraction got larger.
Question 9.
Allison has a ruler that is marked in the fourths of an inch and a tape measure that is marked in halves of an inch. Which measuring tool will give Allison a more precise measure?
Answer:
The ruler will give her a more precise measurement because the ruler is marked with 1/4 of an inch which makes it almost on the dot measuring.
The tape measure is marked with 1/2 of an inch. 1/4 of an inch is lesser than 1/2 of an inch. Therefore, making the ruler more precise.
Question 10.
Mathematical PRACTICE Be Precise Gretchen measured the length of her toaster to the nearest half-inch to be 9 inches. Steve measured the toaster to the nearest quarter inch and found that it measured 9\(\frac{1}{4}\) inches. Who used a more precise measurement?
Answer: Steve used a more precise measurement.
Explanation:
Step 1: half an inch is greater than a quarter an inch
As we know the smaller inch, the more precise.
step 2: The nearest half-inch is 9 inches
so the actual length is 9 < x < 9 1/4
suppose x > 9 1/4 then it measured 9.5 inches.
The nearest quarter-inch is 9 1/4 inches
9 1/8 < x < 9 1/4
so, x -9 > 1/8
9 1/4 – x < 1/8
Two samples are given: 9, and 9 1/4 respectively, which means, there is a variation in the measurements. Thus, the scale measures the toaster precisely, but not accurately. Therefore, the measurements of the two samples are precise. But the smaller fraction is more precise so 9 1/4 is more precise. Therefore, Steve used more precise measurement.