Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
Let's go through the multiplication step-by-step and determine whether the solution is reasonable or not.
### Step-by-Step Multiplication
1. Multiply the first two numbers:
- The two numbers are [tex]\(-6\)[/tex] and [tex]\(-7\)[/tex].
- When multiplying two negative numbers, the negatives cancel out, resulting in a positive product.
[tex]\[ (-6) \times (-7) = 42 \][/tex]
2. Multiply the result with the third number:
- Now, take the result from the first multiplication, which is [tex]\(42\)[/tex], and multiply it by [tex]\(-1\)[/tex].
- Multiplying a positive number by a negative number will result in a negative product.
[tex]\[ 42 \times (-1) = -42 \][/tex]
### Result
So, the final result of multiplying [tex]\(-6\)[/tex], [tex]\(-7\)[/tex], and [tex]\(-1\)[/tex] together is [tex]\(-42\)[/tex].
### Explanation of Reasonableness
Let's check the reasonableness of the result:
- The product of [tex]\(-6\)[/tex], [tex]\(-7\)[/tex], and [tex]\(-1\)[/tex] is [tex]\(-42\)[/tex].
- Given that we are multiplying three negative numbers, the resulting sign:
- Multiplying two negative numbers gives a positive result.
- Multiplying a positive result with another negative number gives a negative result.
So, the final product must be negative, which matches our result of [tex]\(-42\)[/tex].
### Conclusion
The solution is reasonable since the product of these three numbers, [tex]\(-6\)[/tex], [tex]\(-7\)[/tex], and [tex]\(-1\)[/tex], correctly gives a negative number, [tex]\(-42\)[/tex]. This verification aligns with the rule that multiplying three negative numbers results in a negative product.
### Step-by-Step Multiplication
1. Multiply the first two numbers:
- The two numbers are [tex]\(-6\)[/tex] and [tex]\(-7\)[/tex].
- When multiplying two negative numbers, the negatives cancel out, resulting in a positive product.
[tex]\[ (-6) \times (-7) = 42 \][/tex]
2. Multiply the result with the third number:
- Now, take the result from the first multiplication, which is [tex]\(42\)[/tex], and multiply it by [tex]\(-1\)[/tex].
- Multiplying a positive number by a negative number will result in a negative product.
[tex]\[ 42 \times (-1) = -42 \][/tex]
### Result
So, the final result of multiplying [tex]\(-6\)[/tex], [tex]\(-7\)[/tex], and [tex]\(-1\)[/tex] together is [tex]\(-42\)[/tex].
### Explanation of Reasonableness
Let's check the reasonableness of the result:
- The product of [tex]\(-6\)[/tex], [tex]\(-7\)[/tex], and [tex]\(-1\)[/tex] is [tex]\(-42\)[/tex].
- Given that we are multiplying three negative numbers, the resulting sign:
- Multiplying two negative numbers gives a positive result.
- Multiplying a positive result with another negative number gives a negative result.
So, the final product must be negative, which matches our result of [tex]\(-42\)[/tex].
### Conclusion
The solution is reasonable since the product of these three numbers, [tex]\(-6\)[/tex], [tex]\(-7\)[/tex], and [tex]\(-1\)[/tex], correctly gives a negative number, [tex]\(-42\)[/tex]. This verification aligns with the rule that multiplying three negative numbers results in a negative product.
Answer:
B. No, because the solution should be negative.
Step-by-step explanation:
(-6)(-7)(-1)
We are multiplying a negative times a negative times a negative.
A negative times a negative is a positive.
A positive times a negative is a negative.
The result is a negative.
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.