The Product of Two Positive Numbers is Positive

Oct 13, 2025 by talynt.org 70 views

Introduction

When it comes to multiplying negative numbers, many students struggle to understand the concept and often make mistakes. In this article, we will delve into the world of negative numbers and explore the rules of multiplication, specifically focusing on the product of two negative numbers. We will evaluate the expression $-6 \times (-1)$ and provide a step-by-step explanation of how to arrive at the correct answer.

Understanding Negative Numbers

Before we dive into the multiplication of negative numbers, it's essential to understand the concept of negative numbers. A negative number is a number that is less than zero. It's often represented by a minus sign (-) preceding the number. For example, -3 is a negative number, as it is less than zero.

The Rules of Multiplication

When it comes to multiplication, there are two main rules to remember:

The Product of Two Positive Numbers is Positive: When you multiply two positive numbers together, the result is always positive. For example, $2 \times 3 = 6$ .
The Product of Two Negative Numbers is Positive: When you multiply two negative numbers together, the result is always positive. For example, $-2 \times -3 = 6$ .

Evaluating the Expression $-6 \times (-1)$

Now that we have a solid understanding of negative numbers and the rules of multiplication, let's evaluate the expression $-6 \times (-1)$ .

To evaluate this expression, we need to follow the order of operations (PEMDAS):

Parentheses: There are no parentheses in this expression, so we can move on to the next step.
Exponents: There are no exponents in this expression, so we can move on to the next step.
Multiplication and Division: We need to perform the multiplication operation.
Addition and Subtraction: There are no addition or subtraction operations in this expression, so we can move on to the final step.

Step-by-Step Evaluation

To evaluate the expression $-6 \times (-1)$ , we need to follow the rules of multiplication. Since both numbers are negative, the product will be positive.

$-6 \times (-1) = -6 \times (-1) = 6$

Conclusion

In conclusion, the expression $-6 \times (-1)$ evaluates to 6. This is because the product of two negative numbers is always positive. By following the rules of multiplication and understanding the concept of negative numbers, we can arrive at the correct answer.

Frequently Asked Questions

What is the product of two negative numbers? The product of two negative numbers is always positive.
How do I evaluate the expression $-6 \times (-1)$ ? To evaluate the expression $-6 \times (-1)$ , follow the order of operations (PEMDAS) and apply the rules of multiplication.
What is the result of $-6 \times (-1)$ ? The result of $-6 \times (-1)$ is 6.

Final Thoughts

In this article, we evaluated the expression $-6 \times (-1)$ and provided a step-by-step explanation of how to arrive at the correct answer. By understanding the concept of negative numbers and the rules of multiplication, we can confidently evaluate expressions involving negative numbers.

Introduction

In our previous article, we evaluated the expression $-6 \times (-1)$ and provided a step-by-step explanation of how to arrive at the correct answer. In this article, we will continue to explore the world of negative numbers and provide answers to frequently asked questions.

Q&A: Evaluating Expressions with Negative Numbers

Q: What is the product of two negative numbers?

A: The product of two negative numbers is always positive.

Q: How do I evaluate the expression $-3 \times (-4)$ ?

A: To evaluate the expression $-3 \times (-4)$ , follow the order of operations (PEMDAS) and apply the rules of multiplication. Since both numbers are negative, the product will be positive.

$-3 \times (-4) = 12$

Q: What is the result of $-5 \times (-2)$ ?

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

$-5 \times (-2) = 10$

Q: How do I evaluate the expression $-2 \times (-3) \times (-4)$ ?

A: To evaluate the expression $-2 \times (-3) \times (-4)$ , follow the order of operations (PEMDAS) and apply the rules of multiplication. Since all numbers are negative, the product will be positive.

$-2 \times (-3) \times (-4) = -24$

Q: What is the product of three negative numbers?

A: The product of three negative numbers is always negative.

Q: How do I evaluate the expression $-6 \times (-1) \times (-2)$ ?

A: To evaluate the expression $-6 \times (-1) \times (-2)$ , follow the order of operations (PEMDAS) and apply the rules of multiplication. Since all numbers are negative, the product will be negative.

$-6 \times (-1) \times (-2) = -12$

Q: What is the result of $-4 \times (-1) \times (-2)$ ?

A: The result of $-4 \times (-1) \times (-2)$ is 8.

$-4 \times (-1) \times (-2) = 8$

Conclusion

In conclusion, evaluating expressions with negative numbers requires a solid understanding of the rules of multiplication and the concept of negative numbers. By following the order of operations (PEMDAS) and applying the rules of multiplication, we can confidently evaluate expressions involving negative numbers.

Frequently Asked Questions

What is the product of two negative numbers? The product of two negative numbers is always positive.
How do I evaluate the expression $-3 \times (-4)$ ? To evaluate the expression $-3 \times (-4)$ , follow the order of operations (PEMDAS) and apply the rules of multiplication.
What is the result of $-5 \times (-2)$ ? The result of $-5 \times (-2)$ is 10.
How do I evaluate the expression $-2 \times (-3) \times (-4)$ ? To evaluate the expression $-2 \times (-3) \times (-4)$ , follow the order of operations (PEMDAS) and apply the rules of multiplication.
What is the product of three negative numbers? The product of three negative numbers is always negative.
How do I evaluate the expression $-6 \times (-1) \times (-2)$ ? To evaluate the expression $-6 \times (-1) \times (-2)$ , follow the order of operations (PEMDAS) and apply the rules of multiplication.
What is the result of $-4 \times (-1) \times (-2)$ ? The result of $-4 \times (-1) \times (-2)$ is 8.

Final Thoughts

In this article, we provided answers to frequently asked questions about evaluating expressions with negative numbers. By understanding the rules of multiplication and the concept of negative numbers, we can confidently evaluate expressions involving negative numbers.