Evaluating Expressions Involving Addition

Oct 13, 2025 by miodeya.com 121 views

In mathematics, arithmetic operations are the building blocks of various mathematical concepts. One of the fundamental arithmetic operations is addition, which involves combining two or more numbers to get a result. In this article, we will explore the concept of addition and how to evaluate expressions involving addition.

The Concept of Addition

Addition is a mathematical operation that involves combining two or more numbers to get a result. The process of addition involves adding the values of two or more numbers to get a total or a sum. For example, if we have two numbers, 5 and 3, the sum of these numbers is 8, which can be represented as 5 + 3 = 8.

Evaluating Expressions Involving Addition

When evaluating expressions involving addition, we need to follow the order of operations (PEMDAS). PEMDAS stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction. According to this rule, we need to evaluate expressions inside parentheses first, followed by exponents, and then multiplication and division, and finally addition and subtraction.

Evaluating the Expression $-134 + 53$

Now, let's evaluate the expression $-134 + 53$ . To do this, we need to follow the order of operations. Since there are no parentheses or exponents in this expression, we can start by evaluating the addition operation.

Step 1: Evaluate the Addition Operation

To evaluate the addition operation, we need to add the values of $-134$ and $53$ . When we add a negative number and a positive number, we need to subtract the absolute value of the negative number from the positive number.

Step 2: Subtract the Absolute Value of the Negative Number

The absolute value of $-134$ is $134$ . To subtract this value from $53$ , we need to perform the following operation:

$53 - 134$

Step 3: Perform the Subtraction Operation

To perform the subtraction operation, we need to subtract $134$ from $53$ . This can be done by counting backwards from $53$ by $134$ .

$53 - 134 = -81$

Conclusion

In conclusion, the value of $-134 + 53$ is $-81$ . This is because when we add a negative number and a positive number, we need to subtract the absolute value of the negative number from the positive number.

Answer

The correct answer is B. $-81$ .

Additional Examples

Here are some additional examples of evaluating expressions involving addition:

$-25 + 17 = -8$
$-43 + 29 = -14$
$-67 + 41 = -26$

Tips and Tricks

Here are some tips and tricks for evaluating expressions involving addition:

When adding a negative number and a positive number, subtract the absolute value of the negative number from the positive number.
When adding two or more positive numbers, add the values of the numbers.
When adding two or more negative numbers, add the values of the numbers.

Conclusion

In this article, we will answer some frequently asked questions about evaluating expressions involving addition.

Q: What is the order of operations for evaluating expressions involving addition?

A: The order of operations for evaluating expressions involving addition is PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction. According to this rule, we need to evaluate expressions inside parentheses first, followed by exponents, and then multiplication and division, and finally addition and subtraction.

Q: How do I evaluate an expression involving addition when there are parentheses?

A: When evaluating an expression involving addition with parentheses, we need to follow the order of operations. We need to evaluate the expression inside the parentheses first, and then perform the addition operation.

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

A: When adding a positive number and a negative number, we need to subtract the absolute value of the negative number from the positive number. For example, $5 + (-3) = 5 - 3 = 2$ .

Q: How do I evaluate an expression involving addition when there are multiple numbers?

A: When evaluating an expression involving addition with multiple numbers, we need to add the values of the numbers. For example, $5 + 3 + 2 = 10$ .

Q: What is the difference between adding two or more positive numbers and adding two or more negative numbers?

A: When adding two or more positive numbers, we need to add the values of the numbers. When adding two or more negative numbers, we need to add the values of the numbers.

Q: How do I evaluate an expression involving addition with decimals?

A: When evaluating an expression involving addition with decimals, we need to add the decimal values. For example, $5.2 + 3.4 = 8.6$ .

Q: What is the difference between evaluating an expression involving addition with fractions and evaluating an expression involving addition with decimals?

A: When evaluating an expression involving addition with fractions, we need to add the fraction values. When evaluating an expression involving addition with decimals, we need to add the decimal values.

Q: How do I evaluate an expression involving addition with mixed numbers?

A: When evaluating an expression involving addition with mixed numbers, we need to add the whole number value and the fraction value separately, and then combine the results.

Q: What is the difference between evaluating an expression involving addition with integers and evaluating an expression involving addition with fractions?

A: When evaluating an expression involving addition with integers, we need to add the integer values. When evaluating an expression involving addition with fractions, we need to add the fraction values.

Q: How do I evaluate an expression involving addition with negative numbers and positive numbers?

A: When evaluating an expression involving addition with negative numbers and positive numbers, we need to subtract the absolute value of the negative number from the positive number.

Q: What is the difference between evaluating an expression involving addition with negative numbers and evaluating an expression involving addition with positive numbers?

A: When evaluating an expression involving addition with negative numbers, we need to subtract the absolute value of the negative number from the positive number. When evaluating an expression involving addition with positive numbers, we need to add the values of the numbers.

Conclusion

In conclusion, evaluating expressions involving addition is a fundamental concept in mathematics. By following the order of operations and understanding the concept of addition, we can evaluate expressions involving addition with ease.