Evaluate: − 77 + ( − 46 -77 + (-46 − 77 + ( − 46 ]

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Introduction

When it comes to evaluating mathematical expressions, it's essential to understand the rules of arithmetic operations, especially when dealing with negative numbers. In this article, we will delve into the world of mathematics and explore the concept of adding negative numbers. We will evaluate the expression $-77 + (-46)$ and provide a step-by-step guide on how to solve it.

Understanding Negative Numbers

Negative numbers are a fundamental concept in mathematics, and they play a crucial role in various mathematical operations. A negative number is a number that is less than zero. It's denoted by a minus sign (-) preceding the number. For example, -5 is a negative number, and it's less than zero.

Adding Negative Numbers

When adding negative numbers, we need to follow a specific rule. The rule states that when we add two negative numbers, we need to change the sign of the result to positive. In other words, when we add two negative numbers, we need to add their absolute values and then change the sign to positive.

Evaluating the Expression

Now that we have a good understanding of negative numbers and adding negative numbers, let's evaluate the expression $-77 + (-46)$. To evaluate this expression, we need to follow the rule mentioned earlier. We need to add the absolute values of the two numbers and then change the sign to positive.

Step 1: Add the Absolute Values

The absolute value of -77 is 77, and the absolute value of -46 is 46. Now, let's add these two numbers:

77 + 46 = 123

Step 2: Change the Sign to Positive

Since we added two negative numbers, we need to change the sign of the result to positive. Therefore, the final result is:

123

Conclusion

In this article, we evaluated the expression $-77 + (-46)$ and provided a step-by-step guide on how to solve it. We learned that when adding negative numbers, we need to follow a specific rule, which states that we need to change the sign of the result to positive. We applied this rule to evaluate the expression and arrived at the final result of 123.

Frequently Asked Questions

• What is the rule for adding negative numbers? The rule states that when we add two negative numbers, we need to change the sign of the result to positive.
• How do we evaluate the expression $-77 + (-46)$? To evaluate this expression, we need to add the absolute values of the two numbers and then change the sign to positive.
• What is the final result of the expression $-77 + (-46)$? The final result is 123.

Additional Resources

• Khan Academy: Adding Negative Numbers
• Mathway: Adding Negative Numbers
• Wolfram Alpha: Adding Negative Numbers

Final Thoughts

Evaluating mathematical expressions is an essential skill that requires practice and patience. In this article, we evaluated the expression $-77 + (-46)$ and provided a step-by-step guide on how to solve it. We learned that when adding negative numbers, we need to follow a specific rule, which states that we need to change the sign of the result to positive. By applying this rule, we can evaluate complex mathematical expressions with ease.

Introduction

In our previous article, we evaluated the expression $-77 + (-46)$ and provided a step-by-step guide on how to solve it. We learned that when adding negative numbers, we need to follow a specific rule, which states that we need to change the sign of the result to positive. In this article, we will answer some frequently asked questions related to evaluating mathematical expressions with negative numbers.

Q&A

Q: What is the rule for adding negative numbers?

A: The rule states that when we add two negative numbers, we need to change the sign of the result to positive.

Q: How do we evaluate the expression $-77 + (-46)$?

A: To evaluate this expression, we need to add the absolute values of the two numbers and then change the sign to positive. The absolute value of -77 is 77, and the absolute value of -46 is 46. Now, let's add these two numbers:

77 + 46 = 123

Since we added two negative numbers, we need to change the sign of the result to positive. Therefore, the final result is:

123

Q: What is the rule for subtracting negative numbers?

A: The rule states that when we subtract a negative number, we need to change the sign of the result to positive. For example, $-77 - (-46)$ can be evaluated as follows:

-77 + 46 = -31

Q: How do we evaluate the expression $-77 - (-46)$?

A: To evaluate this expression, we need to subtract the absolute value of the second number from the first number and then change the sign to positive. The absolute value of -77 is 77, and the absolute value of -46 is 46. Now, let's subtract 46 from 77:

77 - 46 = 31

Since we subtracted a negative number, we need to change the sign of the result to positive. Therefore, the final result is:

31

Q: What is the rule for multiplying negative numbers?

A: The rule states that when we multiply two negative numbers, we need to change the sign of the result to positive. For example, $-77 \times (-46)$ can be evaluated as follows:

77 \times 46 = 3542

Since we multiplied two negative numbers, we need to change the sign of the result to positive. Therefore, the final result is:

3542

Q: How do we evaluate the expression $-77 \times (-46)$?

A: To evaluate this expression, we need to multiply the absolute values of the two numbers and then change the sign to positive. The absolute value of -77 is 77, and the absolute value of -46 is 46. Now, let's multiply these two numbers:

77 \times 46 = 3542

Since we multiplied two negative numbers, we need to change the sign of the result to positive. Therefore, the final result is:

3542

Q: What is the rule for dividing negative numbers?

A: The rule states that when we divide a negative number by a negative number, we need to change the sign of the result to positive. For example, $-77 \div (-46)$ can be evaluated as follows:

77 \div 46 = 1.673

Since we divided two negative numbers, we need to change the sign of the result to positive. Therefore, the final result is:

1.673

Q: How do we evaluate the expression $-77 \div (-46)$?

A: To evaluate this expression, we need to divide the absolute values of the two numbers and then change the sign to positive. The absolute value of -77 is 77, and the absolute value of -46 is 46. Now, let's divide these two numbers:

77 \div 46 = 1.673

Since we divided two negative numbers, we need to change the sign of the result to positive. Therefore, the final result is:

1.673

Conclusion

In this article, we answered some frequently asked questions related to evaluating mathematical expressions with negative numbers. We learned that when adding, subtracting, multiplying, or dividing negative numbers, we need to follow specific rules to arrive at the correct result. By understanding these rules, we can evaluate complex mathematical expressions with ease.

Frequently Asked Questions

• What is the rule for adding negative numbers? The rule states that when we add two negative numbers, we need to change the sign of the result to positive.
• How do we evaluate the expression $-77 + (-46)$? To evaluate this expression, we need to add the absolute values of the two numbers and then change the sign to positive.
• What is the rule for subtracting negative numbers? The rule states that when we subtract a negative number, we need to change the sign of the result to positive.
• How do we evaluate the expression $-77 - (-46)$? To evaluate this expression, we need to subtract the absolute value of the second number from the first number and then change the sign to positive.
• What is the rule for multiplying negative numbers? The rule states that when we multiply two negative numbers, we need to change the sign of the result to positive.
• How do we evaluate the expression $-77 \times (-46)$? To evaluate this expression, we need to multiply the absolute values of the two numbers and then change the sign to positive.
• What is the rule for dividing negative numbers? The rule states that when we divide a negative number by a negative number, we need to change the sign of the result to positive.
• How do we evaluate the expression $-77 \div (-46)$? To evaluate this expression, we need to divide the absolute values of the two numbers and then change the sign to positive.

Additional Resources

• Khan Academy: Adding, Subtracting, Multiplying, and Dividing Negative Numbers
• Mathway: Adding, Subtracting, Multiplying, and Dividing Negative Numbers
• Wolfram Alpha: Adding, Subtracting, Multiplying, and Dividing Negative Numbers