Find The Sums.- A. { -2 + 9$}$- B. { -8 + (-8)$}$- C. { -4 + (-6) + 10$}$- D. ${ 5 + 7 + (-11)\$} ---5. Mark An Integer Between 1 And 5 On A Number Line, And Label It Point { Z$}$. Then, Locate And

Understanding and Solving Basic Arithmetic Operations

In mathematics, arithmetic operations are the foundation of various mathematical concepts and problem-solving techniques. In this article, we will focus on finding the sums of given expressions, which is a fundamental concept in arithmetic operations. We will also discuss how to mark an integer between 1 and 5 on a number line and label it point z.

4. Find the Sums

To find the sums of given expressions, we need to apply the basic rules of arithmetic operations, such as addition and subtraction. Let's solve the given expressions step by step.

a. {-2 + 9$}$

To find the sum of ${-2 + 9}$, we need to add the two numbers. When we add a negative number and a positive number, we need to consider the sign of the result. In this case, the positive number is 9, so the result will be positive.

${-2 + 9 = 7}$

Therefore, the sum of ${-2 + 9}$ is 7.

b. {-8 + (-8)$}$

To find the sum of ${-8 + (-8)}$, we need to add two negative numbers. When we add two negative numbers, we need to consider the sign of the result. In this case, both numbers are negative, so the result will be negative.

${-8 + (-8) = -16}$

Therefore, the sum of ${-8 + (-8)}$ is ${-16}$.

c. {-4 + (-6) + 10$}$

To find the sum of ${-4 + (-6) + 10}$, we need to add three numbers. When we add three numbers, we need to consider the sign of the result. In this case, the first two numbers are negative, and the third number is positive, so the result will be positive.

${-4 + (-6) + 10 = 0}$

Therefore, the sum of ${-4 + (-6) + 10}$ is 0.

d. ${5 + 7 + (-11)\$}

To find the sum of ${5 + 7 + (-11)}$, we need to add three numbers. When we add three numbers, we need to consider the sign of the result. In this case, the first two numbers are positive, and the third number is negative, so the result will be negative.

${5 + 7 + (-11) = 1}$

Therefore, the sum of ${5 + 7 + (-11)}$ is 1.

5. Mark an Integer between 1 and 5 on a Number Line

A number line is a line that represents all the real numbers. It is used to visualize the relationship between numbers and to solve problems involving inequalities and equations. To mark an integer between 1 and 5 on a number line, we need to locate the integer on the number line.

Step 1: Locate the Integer

To locate the integer, we need to find the point on the number line that corresponds to the integer. For example, if we want to locate the integer 3, we need to find the point on the number line that is 3 units to the right of the origin (0).

Step 2: Label the Point

Once we have located the integer, we need to label the point on the number line. We can label the point with the corresponding integer value.

Labeling the Point z

To label the point z, we need to locate the integer z on the number line and label the point with the corresponding integer value.

Example

Suppose we want to label the point z on the number line. We can locate the integer z on the number line and label the point with the corresponding integer value.

Conclusion

In this article, we have discussed how to find the sums of given expressions and how to mark an integer between 1 and 5 on a number line. We have also discussed how to label the point z on the number line. By following these steps, we can solve problems involving arithmetic operations and number lines.

Key Takeaways

• To find the sums of given expressions, we need to apply the basic rules of arithmetic operations, such as addition and subtraction.
• When we add a negative number and a positive number, we need to consider the sign of the result.
• When we add two negative numbers, we need to consider the sign of the result.
• When we add three numbers, we need to consider the sign of the result.
• To mark an integer between 1 and 5 on a number line, we need to locate the integer on the number line and label the point with the corresponding integer value.
• To label the point z on the number line, we need to locate the integer z on the number line and label the point with the corresponding integer value.

Further Reading

For further reading on arithmetic operations and number lines, we recommend the following resources:

• Khan Academy: Arithmetic Operations
• Mathway: Number Lines
• IXL: Arithmetic Operations

By following these resources, we can gain a deeper understanding of arithmetic operations and number lines and improve our problem-solving skills.
Frequently Asked Questions (FAQs) on Arithmetic Operations and Number Lines

In this article, we will answer some frequently asked questions (FAQs) on arithmetic operations and number lines. These questions are commonly asked by students and teachers who are learning about arithmetic operations and number lines.

Q: What is the difference between addition and subtraction?

A: Addition and subtraction are two basic arithmetic operations. Addition is the process of combining two or more numbers to get a total or a sum. Subtraction is the process of finding the difference between two numbers.

Q: How do I add two negative numbers?

A: When you add two negative numbers, you need to consider the sign of the result. In this case, the result will be negative. For example, ${-2 + (-3) = -5}$.

Q: How do I add three numbers?

A: When you add three numbers, you need to consider the sign of the result. You can add the numbers in any order, but you need to make sure that you are adding the numbers correctly. For example, ${2 + 3 + 4 = 9}$.

Q: What is a number line?

A: A number line is a line that represents all the real numbers. It is used to visualize the relationship between numbers and to solve problems involving inequalities and equations.

Q: How do I mark an integer between 1 and 5 on a number line?

A: To mark an integer between 1 and 5 on a number line, you need to locate the integer on the number line and label the point with the corresponding integer value.

Q: How do I label the point z on a number line?

A: To label the point z on a number line, you need to locate the integer z on the number line and label the point with the corresponding integer value.

Q: What is the difference between a positive number and a negative number?

A: A positive number is a number that is greater than zero, while a negative number is a number that is less than zero.

Q: How do I add a positive number and a negative number?

A: When you add a positive number and a negative number, you need to consider the sign of the result. In this case, the result will be negative. For example, ${2 + (-3) = -1}$.

Q: How do I subtract a negative number from a positive number?

A: When you subtract a negative number from a positive number, you need to consider the sign of the result. In this case, the result will be positive. For example, ${5 - (-2) = 7}$.

Q: What is the order of operations?

A: The order of operations is a set of rules that tells you which operations to perform first when you have multiple operations in an expression. The order of operations is:

1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction

Q: How do I evaluate an expression with multiple operations?

A: To evaluate an expression with multiple operations, you need to follow the order of operations. You need to perform the operations in the correct order, using the rules of arithmetic operations.

Conclusion

In this article, we have answered some frequently asked questions (FAQs) on arithmetic operations and number lines. These questions are commonly asked by students and teachers who are learning about arithmetic operations and number lines. By following the rules of arithmetic operations and using a number line, you can solve problems involving arithmetic operations and number lines.

Key Takeaways

• Addition and subtraction are two basic arithmetic operations.
• When you add two negative numbers, the result will be negative.
• When you add three numbers, you need to consider the sign of the result.
• A number line is a line that represents all the real numbers.
• To mark an integer between 1 and 5 on a number line, you need to locate the integer on the number line and label the point with the corresponding integer value.
• To label the point z on a number line, you need to locate the integer z on the number line and label the point with the corresponding integer value.
• The order of operations is a set of rules that tells you which operations to perform first when you have multiple operations in an expression.

Further Reading

For further reading on arithmetic operations and number lines, we recommend the following resources:

• Khan Academy: Arithmetic Operations
• Mathway: Number Lines
• IXL: Arithmetic Operations

By following these resources, you can gain a deeper understanding of arithmetic operations and number lines and improve your problem-solving skills.