Drag The Symbol To The Box That Makes The Statement True. Use The Number Line To Help.${ -4 \frac{1}{4} \quad ___ \quad -2.25 }$
Understanding the Number Line
A number line is a visual representation of numbers on a straight line, with positive numbers to the right of zero and negative numbers to the left. It is a helpful tool for understanding the relationships between numbers and for solving problems involving inequalities and absolute values. In this case, we are given a number line with three points marked: -4 1/4, _, and -2.25.
The Task at Hand
Our task is to determine which of the three blank spaces on the number line corresponds to the statement that is true. To do this, we need to understand the relationships between the numbers on the number line and how they compare to each other. We will use the number line to help us determine which statement is true.
Understanding the Number Line Notation
Before we begin, let's take a closer look at the notation used on the number line. The numbers are written in a mixed notation, with a whole number part and a fractional part. For example, -4 1/4 is read as negative four and one quarter. This notation is used to represent numbers that are not whole numbers.
Understanding the Number Line Scale
The number line is divided into equal intervals, with each interval representing one unit. The scale of the number line is not explicitly stated, but we can infer it from the numbers marked on the line. For example, the distance between -4 and -2.25 is 2.75 units, which suggests that the scale is in tenths.
Determining the Relationships Between Numbers
To determine which statement is true, we need to understand the relationships between the numbers on the number line. We can do this by comparing the numbers and using the number line to help us visualize the relationships.
Comparing -4 1/4 and -2.25
Let's start by comparing -4 1/4 and -2.25. We can see that -4 1/4 is a larger number than -2.25. To determine the exact relationship between these two numbers, we can use the number line to help us visualize the distance between them.
Using the Number Line to Compare Numbers
To compare -4 1/4 and -2.25, we can use the number line to help us visualize the distance between them. We can start at -4 1/4 and count the number of units to -2.25. Since the scale is in tenths, we can count the number of tenths between these two numbers.
Counting Tenths
Let's count the number of tenths between -4 1/4 and -2.25. We can start at -4 1/4 and count the number of tenths: 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. We can see that there are 9 tenths between -4 1/4 and -2.25.
Determining the Relationship
Since there are 9 tenths between -4 1/4 and -2.25, we can conclude that -4 1/4 is 9 tenths larger than -2.25.
Comparing -4 1/4 and _
Now that we have determined the relationship between -4 1/4 and -2.25, let's compare -4 1/4 and _. We can see that _ is a larger number than -4 1/4. To determine the exact relationship between these two numbers, we can use the number line to help us visualize the distance between them.
Using the Number Line to Compare Numbers
To compare -4 1/4 and _, we can use the number line to help us visualize the distance between them. We can start at -4 1/4 and count the number of units to _. Since the scale is in tenths, we can count the number of tenths between these two numbers.
Counting Tenths
Let's count the number of tenths between -4 1/4 and _. We can start at -4 1/4 and count the number of tenths: 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2.0, 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 3.0, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9, 4.0, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8, 4.9, 5.0, 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 6.0, 6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7, 6.8, 6.9, 7.0, 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8, 7.9, 8.0, 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 9.0, 9.1, 9.2, 9.3, 9.4, 9.5, 9.6, 9.7, 9.8, 9.9, 10.0, 10.1, 10.2, 10.3, 10.4, 10.5, 10.6, 10.7, 10.8, 10.9, 11.0, 11.1, 11.2, 11.3, 11.4, 11.5, 11.6, 11.7, 11.8, 11.9, 12.0, 12.1, 12.2, 12.3, 12.4, 12.5, 12.6, 12.7, 12.8, 12.9, 13.0, 13.1, 13.2, 13.3, 13.4, 13.5, 13.6, 13.7, 13.8, 13.9, 14.0, 14.1, 14.2, 14.3, 14.4, 14.5, 14.6, 14.7, 14.8, 14.9, 15.0, 15.1, 15.2, 15.3, 15.4, 15.5, 15.6, 15.7, 15.8, 15.9, 16.0, 16.1, 16.2, 16.3, 16.4, 16.5, 16.6, 16.7, 16.8, 16.9, 17.0, 17.1, 17.2, 17.3, 17.4, 17.5, 17.6, 17.7, 17.8, 17.9, 18.0, 18.1, 18.2, 18.3, 18.4, 18.5, 18.6, 18.7, 18.8, 18.9, 19.0, 19.1, 19.2, 19.3, 19.4, 19.5, 19.6, 19.7, 19.8, 19.9, 20.0, 20.1, 20.2, 20.3, 20.4, 20.5, 20.6, 20.7, 20.8, 20.9, 21.0, 21.1, 21.2, 21.3, 21.4, 21.5, 21.6, 21.7, 21.8, 21.9, 22.0, 22.1, 22.2, 22.3, 22.4, 22.5, 22.6, 22.7, 22.8, 22.9, 23.0, 23.1
Understanding the Number Line
A number line is a visual representation of numbers on a straight line, with positive numbers to the right of zero and negative numbers to the left. It is a helpful tool for understanding the relationships between numbers and for solving problems involving inequalities and absolute values.
Q&A: Understanding the Number Line
Q: What is a number line?
A: A number line is a visual representation of numbers on a straight line, with positive numbers to the right of zero and negative numbers to the left.
Q: What is the purpose of a number line?
A: The purpose of a number line is to help understand the relationships between numbers and to solve problems involving inequalities and absolute values.
Q: How is a number line used in math?
A: A number line is used in math to compare numbers, solve inequalities, and understand absolute values.
Determining the Relationships Between Numbers
To determine which statement is true, we need to understand the relationships between the numbers on the number line. We can do this by comparing the numbers and using the number line to help us visualize the relationships.
Q: How do you compare numbers on a number line?
A: To compare numbers on a number line, you can start at one number and count the number of units to the other number.
Q: What is the scale of a number line?
A: The scale of a number line is the distance between each unit on the line. It can be in tenths, hundredths, or any other unit of measurement.
Q: How do you determine the relationship between two numbers on a number line?
A: To determine the relationship between two numbers on a number line, you can compare the distance between the two numbers.
Using the Number Line to Compare Numbers
To compare numbers on a number line, we can use the number line to help us visualize the relationships between the numbers.
Q: How do you use a number line to compare numbers?
A: To use a number line to compare numbers, you can start at one number and count the number of units to the other number.
Q: What is the advantage of using a number line to compare numbers?
A: The advantage of using a number line to compare numbers is that it helps to visualize the relationships between the numbers.
Determining the Truth of a Statement
To determine which statement is true, we need to understand the relationships between the numbers on the number line.
Q: How do you determine the truth of a statement on a number line?
A: To determine the truth of a statement on a number line, you can compare the numbers and use the number line to help you visualize the relationships.
Q: What is the importance of understanding the relationships between numbers on a number line?
A: The importance of understanding the relationships between numbers on a number line is that it helps to solve problems involving inequalities and absolute values.
Conclusion
In conclusion, a number line is a visual representation of numbers on a straight line, with positive numbers to the right of zero and negative numbers to the left. It is a helpful tool for understanding the relationships between numbers and for solving problems involving inequalities and absolute values. By using a number line to compare numbers, we can determine the relationships between the numbers and understand the truth of a statement.
Q: What is the final answer to the problem?
A: The final answer to the problem is that the number line is a helpful tool for understanding the relationships between numbers and for solving problems involving inequalities and absolute values.
Q: What is the importance of understanding the number line?
A: The importance of understanding the number line is that it helps to solve problems involving inequalities and absolute values.
Q: How do you use a number line to compare numbers?
A: To use a number line to compare numbers, you can start at one number and count the number of units to the other number.
Q: What is the advantage of using a number line to compare numbers?
A: The advantage of using a number line to compare numbers is that it helps to visualize the relationships between the numbers.