Which Of The Following Points Represents $-2 \frac{1}{4}$?

$$

Introduction

When dealing with fractions and mixed numbers, it's essential to understand how to represent them on a number line. A mixed number is a combination of a whole number and a fraction. In this case, we're given the mixed number $-2 \frac{1}{4}$ and asked to identify which point on the number line represents it.

Understanding Mixed Numbers

A mixed number is a combination of a whole number and a fraction. It's written in the form $a \frac{b}{c}$, where $a$ is the whole number part, $b$ is the numerator of the fraction, and $c$ is the denominator of the fraction. In the case of $-2 \frac{1}{4}$, the whole number part is $-2$, the numerator is $1$, and the denominator is $4$.

Representing Mixed Numbers on a Number Line

To represent a mixed number on a number line, we need to first identify the whole number part and the fraction part. The whole number part is represented by a point on the number line, and the fraction part is represented by a point that is a fraction of the distance between the whole number points.

Step 1: Identify the Whole Number Part

The whole number part of $-2 \frac{1}{4}$ is $-2$. This means that we need to find the point on the number line that represents $-2$.

Step 2: Identify the Fraction Part

The fraction part of $-2 \frac{1}{4}$ is $\frac{1}{4}$. This means that we need to find a point on the number line that is $\frac{1}{4}$ of the distance between the whole number points.

Step 3: Combine the Whole Number and Fraction Parts

To find the point on the number line that represents $-2 \frac{1}{4}$, we need to combine the whole number part and the fraction part. We start at the point that represents $-2$ and move $\frac{1}{4}$ of the distance between the whole number points.

Finding the Point on the Number Line

To find the point on the number line that represents $-2 \frac{1}{4}$, we can use the following steps:

1. Start at the point that represents $-2$.
2. Move $\frac{1}{4}$ of the distance between the whole number points to the left.
3. The point that we land on is the point that represents $-2 \frac{1}{4}$.

Conclusion

In conclusion, to find the point on the number line that represents $-2 \frac{1}{4}$, we need to identify the whole number part and the fraction part, combine them, and then find the point on the number line that represents the combined value.

Example

Let's consider an example to illustrate this concept. Suppose we want to find the point on the number line that represents $-2 \frac{1}{4}$. We can use the following steps:

1. Start at the point that represents $-2$.
2. Move $\frac{1}{4}$ of the distance between the whole number points to the left.
3. The point that we land on is the point that represents $-2 \frac{1}{4}$.

Answer

The point on the number line that represents $-2 \frac{1}{4}$ is the point that is $\frac{1}{4}$ of the distance between the whole number points to the left of the point that represents $-2$.

Key Takeaways

• A mixed number is a combination of a whole number and a fraction.
• To represent a mixed number on a number line, we need to identify the whole number part and the fraction part.
• We can combine the whole number part and the fraction part by moving the fraction part of the distance between the whole number points.
• The point on the number line that represents a mixed number is the point that is the combined value of the whole number part and the fraction part.

Final Answer

The final answer is: $\boxed{-\frac{9}{4}}$

$$

Introduction

In our previous article, we discussed how to represent a mixed number on a number line. We learned that a mixed number is a combination of a whole number and a fraction, and that we can represent it on a number line by identifying the whole number part and the fraction part, and then combining them.

Q&A

Q: What is a mixed number?

A: A mixed number is a combination of a whole number and a fraction. It's written in the form $a \frac{b}{c}$, where $a$ is the whole number part, $b$ is the numerator of the fraction, and $c$ is the denominator of the fraction.

Q: How do I represent a mixed number on a number line?

A: To represent a mixed number on a number line, you need to identify the whole number part and the fraction part. The whole number part is represented by a point on the number line, and the fraction part is represented by a point that is a fraction of the distance between the whole number points.

Q: What is the difference between a whole number and a fraction?

A: A whole number is a number that is not a fraction, such as 2 or 5. A fraction is a number that is part of a whole, such as 1/2 or 3/4.

Q: How do I combine the whole number part and the fraction part to represent a mixed number on a number line?

A: To combine the whole number part and the fraction part, you need to move the fraction part of the distance between the whole number points. For example, if you have a mixed number of $-2 \frac{1}{4}$, you would start at the point that represents $-2$ and move $\frac{1}{4}$ of the distance between the whole number points to the left.

Q: What is the point on the number line that represents $-2 \frac{1}{4}$?

A: The point on the number line that represents $-2 \frac{1}{4}$ is the point that is $\frac{1}{4}$ of the distance between the whole number points to the left of the point that represents $-2$.

Q: How do I find the point on the number line that represents a mixed number?

A: To find the point on the number line that represents a mixed number, you need to follow these steps:

1. Identify the whole number part and the fraction part.
2. Represent the whole number part on the number line.
3. Move the fraction part of the distance between the whole number points.
4. The point that you land on is the point that represents the mixed number.

Q: What are some examples of mixed numbers?

A: Some examples of mixed numbers include:

• $-2 \frac{1}{4}$
• $3 \frac{2}{3}$
• $-1 \frac{3}{4}$

Q: How do I convert a mixed number to an improper fraction?

A: To convert a mixed number to an improper fraction, you need to multiply the whole number part by the denominator and then add the numerator. For example, to convert $-2 \frac{1}{4}$ to an improper fraction, you would multiply $-2$ by 4 and then add 1, resulting in $-\frac{9}{4}$.

Conclusion

In conclusion, representing a mixed number on a number line requires identifying the whole number part and the fraction part, and then combining them. We hope that this Q&A article has helped to clarify any questions you may have had about representing mixed numbers on a number line.

Key Takeaways

• A mixed number is a combination of a whole number and a fraction.
• To represent a mixed number on a number line, you need to identify the whole number part and the fraction part, and then combine them.
• The point on the number line that represents a mixed number is the point that is the combined value of the whole number part and the fraction part.
• To convert a mixed number to an improper fraction, you need to multiply the whole number part by the denominator and then add the numerator.

Final Answer

The final answer is: $\boxed{-\frac{9}{4}}$