Evaluate The Expression:c) $ -6 \div (-18) = $

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Introduction

In mathematics, division is a fundamental operation that involves splitting a number into equal parts or groups. When we divide two numbers, we are essentially finding out how many times one number fits into another. In this article, we will evaluate the expression $-6 \div (-18) = ?$ and explore the concept of division with negative numbers.

Understanding Division with Negative Numbers

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:

$-6 \div (-18) = ?$

In this expression, both the dividend (-6) and the divisor (-18) are negative numbers. When we divide a negative number by another negative number, the result is always positive.

Evaluating the Expression

To evaluate the expression $-6 \div (-18) = ?$, we need to follow the order of operations (PEMDAS):

1. Parentheses: There are no parentheses in this expression.
2. Exponents: There are no exponents in this expression.
3. Multiplication and Division: We need to perform the division operation.
4. Addition and Subtraction: There are no addition or subtraction operations in this expression.

Since the expression only involves division, we can proceed with the division operation.

Division with Negative Numbers

When we divide a negative number by another negative number, the result is always positive. This is because the negative signs cancel each other out, leaving us with a positive quotient.

$-6 \div (-18) = ?$

To evaluate this expression, we can use the following steps:

1. Change the signs of both the dividend and the divisor.
2. Divide the absolute values of the dividend and the divisor.
3. Change the sign of the result.

Using this approach, we can rewrite the expression as:

$6 \div 18 = ?$

Now, we can perform the division operation:

$6 \div 18 = 0.33$

Since the original expression involved negative numbers, we need to change the sign of the result:

$-6 \div (-18) = 0.33$

Conclusion

In this article, we evaluated the expression $-6 \div (-18) = ?$ and explored the concept of division with negative numbers. We learned that when we divide two negative numbers, the result is always positive. We also learned how to evaluate expressions involving negative numbers using the order of operations (PEMDAS) and the concept of changing signs.

Frequently Asked Questions

• What is the result of $-6 \div (-18)$?
• Why is the result of $-6 \div (-18)$ positive?
• How do we evaluate expressions involving negative numbers?

Final Answer

The final answer is: $\boxed{0.33}$

Introduction

In our previous article, we evaluated the expression $-6 \div (-18) = ?$ and explored the concept of division with negative numbers. In this article, we will answer some frequently asked questions related to evaluating expressions with negative numbers.

Q&A

Q1: What is the result of $-6 \div (-18)$?

A1: The result of $-6 \div (-18)$ is 0.33.

Q2: Why is the result of $-6 \div (-18)$ positive?

A2: The result of $-6 \div (-18)$ is positive because when we divide two negative numbers, the negative signs cancel each other out, leaving us with a positive quotient.

Q3: How do we evaluate expressions involving negative numbers?

A3: To evaluate expressions involving negative numbers, we need to follow the order of operations (PEMDAS) and change the signs of both the dividend and the divisor.

Q4: What is the rule for dividing negative numbers?

A4: The rule for dividing negative numbers is that when we divide two negative numbers, the result is always positive.

Q5: Can we divide a negative number by a positive number?

A5: Yes, we can divide a negative number by a positive number. In this case, the result will be negative.

Q6: How do we handle negative numbers in division?

A6: When we handle negative numbers in division, we need to change the signs of both the dividend and the divisor, and then perform the division operation.

Q7: What is the result of $-6 \div 18$?

A7: The result of $-6 \div 18$ is -0.33.

Q8: Why is the result of $-6 \div 18$ negative?

A8: The result of $-6 \div 18$ is negative because when we divide a negative number by a positive number, the result is always negative.

Q9: Can we divide a positive number by a negative number?

A9: Yes, we can divide a positive number by a negative number. In this case, the result will be negative.

Q10: How do we handle positive numbers in division with negative numbers?

A10: When we handle positive numbers in division with negative numbers, we need to change the sign of the result.

Conclusion

In this article, we answered some frequently asked questions related to evaluating expressions with negative numbers. We learned that when we divide two negative numbers, the result is always positive, and when we divide a negative number by a positive number, the result is always negative.

Final Tips

• When evaluating expressions with negative numbers, always follow the order of operations (PEMDAS).
• Change the signs of both the dividend and the divisor when dividing negative numbers.
• Remember that when we divide two negative numbers, the result is always positive.
• When we divide a negative number by a positive number, the result is always negative.

Final Answer

The final answer is: $\boxed{0.33}$