Find $-71+(-146)+(-32$\].A. 249 B. $-43$ C. $-149$ D. $-249$

Understanding the Basics of Negative Numbers

In mathematics, negative numbers are used to represent quantities that are less than zero. When we add or subtract negative numbers, we need to follow specific rules to simplify the expression. In this article, we will focus on finding the sum of multiple negative terms.

The Rules of Adding and Subtracting Negative Numbers

When we add or subtract negative numbers, we need to remember the following rules:

• When we add two negative numbers, we need to change the sign of the result to positive.
• When we subtract two negative numbers, we need to change the sign of the result to positive.
• When we add a positive number and a negative number, we need to subtract the absolute value of the negative number from the positive number.
• When we subtract a positive number from a negative number, we need to add the absolute value of the positive number to the negative number.

Simplifying the Expression $-71+(-146)+(-32)$

Now, let's apply the rules of adding and subtracting negative numbers to simplify the expression $-71+(-146)+(-32)$.

First, we need to add the three negative numbers together. Since all three numbers are negative, we need to change the sign of the result to positive.

$-71+(-146)+(-32) = -71-146-32$

Next, we need to add the three numbers together. We can start by adding $-71$ and $-146$.

$-71-146 = -217$

Now, we need to add $-32$ to $-217$.

$-217-32 = -249$

Therefore, the sum of the three negative numbers is $-249$.

Conclusion

In this article, we learned how to simplify expressions with multiple negative terms. We applied the rules of adding and subtracting negative numbers to find the sum of three negative numbers. The correct answer is $-249$.

Answer Key

The correct answer is D. $-249$.

Additional Examples

Here are a few more examples of simplifying expressions with multiple negative terms:

• $-23+(-15)+(-27) = ?$
• $-56-(-32)-(-19) = ?$
• $-18+(-25)+(-12) = ?$

Frequently Asked Questions

In this article, we will answer some frequently asked questions about simplifying expressions with multiple negative terms.

Q: What is the rule for adding two negative numbers?

A: When we add two negative numbers, we need to change the sign of the result to positive.

Q: What is the rule for subtracting two negative numbers?

A: When we subtract two negative numbers, we need to change the sign of the result to positive.

Q: What is the rule for adding a positive number and a negative number?

A: When we add a positive number and a negative number, we need to subtract the absolute value of the negative number from the positive number.

Q: What is the rule for subtracting a positive number from a negative number?

A: When we subtract a positive number from a negative number, we need to add the absolute value of the positive number to the negative number.

Q: How do I simplify an expression with multiple negative terms?

A: To simplify an expression with multiple negative terms, you need to follow these steps:

1. Add or subtract the negative numbers together.
2. Change the sign of the result to positive if all the numbers are negative.
3. Subtract the absolute value of the negative numbers from the positive numbers.
4. Add the absolute value of the positive numbers to the negative numbers.

Q: What is the correct answer for the expression $-71+(-146)+(-32)$?

A: The correct answer for the expression $-71+(-146)+(-32)$ is $-249$.

Q: Can you provide more examples of simplifying expressions with multiple negative terms?

A: Here are a few more examples of simplifying expressions with multiple negative terms:

• $-23+(-15)+(-27) = ?$
• $-56-(-32)-(-19) = ?$
• $-18+(-25)+(-12) = ?$

You can try to simplify these expressions using the rules of adding and subtracting negative numbers.

Q: What are some common mistakes to avoid when simplifying expressions with multiple negative terms?

A: Here are some common mistakes to avoid when simplifying expressions with multiple negative terms:

• Not changing the sign of the result to positive when adding or subtracting two negative numbers.
• Not subtracting the absolute value of the negative numbers from the positive numbers.
• Not adding the absolute value of the positive numbers to the negative numbers.

Conclusion

In this article, we answered some frequently asked questions about simplifying expressions with multiple negative terms. We provided examples and explained the rules for adding and subtracting negative numbers. We also discussed common mistakes to avoid when simplifying expressions with multiple negative terms.

Additional Resources

If you want to learn more about simplifying expressions with multiple negative terms, here are some additional resources:

• Khan Academy: Simplifying Expressions with Negative Numbers
• Mathway: Simplifying Expressions with Multiple Negative Terms
• IXL: Simplifying Expressions with Negative Numbers

We hope this article has been helpful in understanding how to simplify expressions with multiple negative terms.