Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Certainly! Let's analyze Mark's work and then correct the mistake he made.
### Mark's Work:
Mark attempted to simplify:
[tex]\[ (-3)(-5)(-2) \][/tex]
He performed the multiplication in steps:
1. First, he multiplied [tex]\( -3 \)[/tex] and [tex]\( -5 \)[/tex]:
[tex]\[ (-3) \times (-5) = 15 \][/tex]
2. Next, he multiplied the result by [tex]\( -2 \)[/tex]:
[tex]\[ 15 \times (-2) \][/tex]
However, he made an error in the second multiplication. Mark incorrectly stated:
[tex]\[ (-15) \times (-2) = 30 \][/tex]
### Explanation of the Error:
In the second step, Mark mistakenly treated the intermediate result [tex]\( 15 \)[/tex] as [tex]\( -15 \)[/tex], and incorrectly applied the rules of multiplication.
### Correct Approach:
To find the correct product, follow these steps step by step properly:
#### Step 1: Multiply the first two numbers.
[tex]\[ (-3) \times (-5) = 15 \][/tex]
When multiplying two negative numbers, the result is positive.
#### Step 2: Multiply the intermediate result by the third number.
[tex]\[ 15 \times (-2) \][/tex]
When multiplying a positive number with a negative number, the result is negative.
[tex]\[ 15 \times (-2) = -30 \][/tex]
### Conclusion:
The correct simplification and product are given by:
[tex]\[ (-3)(-5)(-2) = 15 \times (-2) = -30 \][/tex]
Therefore, the correct product is:
[tex]\[ -30 \][/tex]
### Mark's Work:
Mark attempted to simplify:
[tex]\[ (-3)(-5)(-2) \][/tex]
He performed the multiplication in steps:
1. First, he multiplied [tex]\( -3 \)[/tex] and [tex]\( -5 \)[/tex]:
[tex]\[ (-3) \times (-5) = 15 \][/tex]
2. Next, he multiplied the result by [tex]\( -2 \)[/tex]:
[tex]\[ 15 \times (-2) \][/tex]
However, he made an error in the second multiplication. Mark incorrectly stated:
[tex]\[ (-15) \times (-2) = 30 \][/tex]
### Explanation of the Error:
In the second step, Mark mistakenly treated the intermediate result [tex]\( 15 \)[/tex] as [tex]\( -15 \)[/tex], and incorrectly applied the rules of multiplication.
### Correct Approach:
To find the correct product, follow these steps step by step properly:
#### Step 1: Multiply the first two numbers.
[tex]\[ (-3) \times (-5) = 15 \][/tex]
When multiplying two negative numbers, the result is positive.
#### Step 2: Multiply the intermediate result by the third number.
[tex]\[ 15 \times (-2) \][/tex]
When multiplying a positive number with a negative number, the result is negative.
[tex]\[ 15 \times (-2) = -30 \][/tex]
### Conclusion:
The correct simplification and product are given by:
[tex]\[ (-3)(-5)(-2) = 15 \times (-2) = -30 \][/tex]
Therefore, the correct product is:
[tex]\[ -30 \][/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.