Evaluate The Following Expression:${ -10 \div (-2) = }$

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Introduction

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In mathematics, division is a fundamental operation that involves sharing a certain quantity into equal parts or groups. When we divide a number by another number, we are essentially finding out how many times the divisor can fit into the dividend. In this article, we will evaluate the expression $-10 \div (-2)$ and explore the concept of division with negative numbers.

Understanding Division with Negative Numbers

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When we divide two negative numbers, the result is always positive. This is because the negative signs cancel each other out, leaving us with a positive quotient. To understand this concept, let's consider the following example:

• $-10 \div (-2) = ?$

In this case, we are dividing a negative number (-10) by another negative number (-2). Since both numbers are negative, the result will be positive.

Evaluating the Expression

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To evaluate the expression $-10 \div (-2)$, we can use the following steps:

1. Change the signs: When we divide two negative numbers, we change the signs of both numbers to positive.
2. Perform the division: Now that we have two positive numbers, we can perform the division.
3. Get the result: The result of the division will be a positive number.

Using these steps, let's evaluate the expression $-10 \div (-2)$:

1. Change the signs: $-10 \div (-2) = 10 \div 2$
2. Perform the division: $10 \div 2 = 5$
3. Get the result: $-10 \div (-2) = 5$

Therefore, the result of the expression $-10 \div (-2)$ is 5.

Conclusion

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In conclusion, when we divide two negative numbers, the result is always positive. This is because the negative signs cancel each other out, leaving us with a positive quotient. By following the steps outlined above, we can evaluate the expression $-10 \div (-2)$ and get the result of 5.

Frequently Asked Questions

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Q: What is the result of $-10 \div (-2)$?

A: The result of $-10 \div (-2)$ is 5.

Q: Why do we change the signs when dividing two negative numbers?

A: We change the signs because the negative signs cancel each other out, leaving us with a positive quotient.

Q: Can we divide a negative number by a positive number?

A: Yes, we can divide a negative number by a positive number. However, the result will be negative.

Example Problems

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Problem 1: Evaluate the expression $-15 \div (-3)$

To evaluate this expression, we can follow the same steps as before:

1. Change the signs: $-15 \div (-3) = 15 \div 3$
2. Perform the division: $15 \div 3 = 5$
3. Get the result: $-15 \div (-3) = 5$

Therefore, the result of the expression $-15 \div (-3)$ is 5.

Problem 2: Evaluate the expression $-20 \div (-4)$

To evaluate this expression, we can follow the same steps as before:

1. Change the signs: $-20 \div (-4) = 20 \div 4$
2. Perform the division: $20 \div 4 = 5$
3. Get the result: $-20 \div (-4) = 5$

Therefore, the result of the expression $-20 \div (-4)$ is 5.

Summary

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In this article, we evaluated the expression $-10 \div (-2)$ and explored the concept of division with negative numbers. We learned that when we divide two negative numbers, the result is always positive. By following the steps outlined above, we can evaluate expressions involving division with negative numbers and get the correct results.

Key Takeaways

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• When dividing two negative numbers, the result is always positive.
• We change the signs of both numbers to positive when dividing two negative numbers.
• The result of the division will be a positive number.

Final Thoughts

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Division with negative numbers can be a bit tricky, but by following the steps outlined above, we can evaluate expressions involving division with negative numbers and get the correct results. Remember to change the signs of both numbers to positive when dividing two negative numbers, and the result will be a positive number.

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Introduction

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In our previous article, we explored the concept of division with negative numbers and evaluated the expression $-10 \div (-2)$. In this article, we will answer some frequently asked questions related to division with negative numbers.

Q&A

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Q: What is the result of $-5 \div (-1)$?

A: The result of $-5 \div (-1)$ is 5.

Q: Why do we change the signs when dividing two negative numbers?

A: We change the signs because the negative signs cancel each other out, leaving us with a positive quotient.

Q: Can we divide a negative number by a positive number?

A: Yes, we can divide a negative number by a positive number. However, the result will be negative.

Q: What is the result of $-20 \div 5$?

A: The result of $-20 \div 5$ is -4.

Q: Why is the result of $-20 \div 5$ negative?

A: The result of $-20 \div 5$ is negative because the dividend (-20) is negative and the divisor (5) is positive.

Q: Can we divide a positive number by a negative number?

A: Yes, we can divide a positive number by a negative number. However, the result will be negative.

Q: What is the result of $10 \div (-2)$?

A: The result of $10 \div (-2)$ is -5.

Q: Why is the result of $10 \div (-2)$ negative?

A: The result of $10 \div (-2)$ is negative because the dividend (10) is positive and the divisor (-2) is negative.

Q: Can we divide zero by a negative number?

A: No, we cannot divide zero by a negative number. This is because division by zero is undefined.

Q: What is the result of $-0 \div (-1)$?

A: The result of $-0 \div (-1)$ is 0.

Q: Why is the result of $-0 \div (-1)$ 0?

A: The result of $-0 \div (-1)$ is 0 because any number divided by zero is undefined, but in this case, the dividend is zero, so the result is 0.

Conclusion

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In conclusion, division with negative numbers can be a bit tricky, but by following the rules outlined above, we can evaluate expressions involving division with negative numbers and get the correct results. Remember to change the signs of both numbers to positive when dividing two negative numbers, and the result will be a positive number. Also, be aware of the rules for dividing zero and negative numbers.

Final Thoughts

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Division with negative numbers is an important concept in mathematics, and it's essential to understand the rules and procedures involved. By practicing and mastering these concepts, you'll become more confident and proficient in solving mathematical problems involving division with negative numbers.

Example Problems

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Problem 1: Evaluate the expression $-15 \div (-3)$

To evaluate this expression, we can follow the same steps as before:

1. Change the signs: $-15 \div (-3) = 15 \div 3$
2. Perform the division: $15 \div 3 = 5$
3. Get the result: $-15 \div (-3) = 5$

Therefore, the result of the expression $-15 \div (-3)$ is 5.

Problem 2: Evaluate the expression $-20 \div (-4)$

To evaluate this expression, we can follow the same steps as before:

1. Change the signs: $-20 \div (-4) = 20 \div 4$
2. Perform the division: $20 \div 4 = 5$
3. Get the result: $-20 \div (-4) = 5$

Therefore, the result of the expression $-20 \div (-4)$ is 5.

Summary

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In this article, we answered some frequently asked questions related to division with negative numbers. We learned that when dividing two negative numbers, the result is always positive, and we change the signs of both numbers to positive when dividing two negative numbers. We also learned that division by zero is undefined, but in the case of zero divided by a negative number, the result is 0.

Key Takeaways

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• When dividing two negative numbers, the result is always positive.
• We change the signs of both numbers to positive when dividing two negative numbers.
• Division by zero is undefined.
• The result of zero divided by a negative number is 0.

Final Thoughts

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Division with negative numbers is an essential concept in mathematics, and it's crucial to understand the rules and procedures involved. By practicing and mastering these concepts, you'll become more confident and proficient in solving mathematical problems involving division with negative numbers.