Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
To determine which of the expressions have negative values, we need to evaluate each expression step-by-step and observe whether the result is negative. Let's go through each one:
1. Expression: [tex]\(2 + 2 \cdot (-3) \cdot 7\)[/tex]
\
Let's break it down step-by-step:
[tex]\[ 2 + 2 \cdot (-3) \cdot 7 = 2 + (2 \cdot -3) \cdot 7 = 2 + (-6) \cdot 7 = 2 + (-42) = 2 - 42 = -40 \][/tex]
Since [tex]\(-40\)[/tex] is negative, this expression has a negative value.
2. Expression: [tex]\(-2 \cdot \left(\frac{27}{9}\right) + 4\)[/tex]
\
Let's break it down step-by-step:
[tex]\[ -2 \cdot \left(\frac{27}{9}\right) + 4 = -2 \cdot 3 + 4 = -6 + 4 = -2 \][/tex]
Since [tex]\(-2\)[/tex] is negative, this expression has a negative value.
3. Expression: [tex]\((14 + -2) \cdot (-6)\)[/tex]
\
Let's break it down step-by-step:
[tex]\[ (14 + -2) \cdot (-6) = (14 - 2) \cdot (-6) = 12 \cdot (-6) = -72 \][/tex]
Since [tex]\(-72\)[/tex] is negative, this expression has a negative value.
4. Expression: [tex]\((4 - 10) - \left(\frac{8}{-2}\right)\)[/tex]
\
Let's break it down step-by-step:
[tex]\[ (4 - 10) - \left(\frac{8}{-2}\right) = -6 - (-4) = -6 + 4 = -2 \][/tex]
Since [tex]\(-2\)[/tex] is negative, this expression has a negative value.
In summary, all four expressions have negative values:
- [tex]\(2 + 2(-3)(7)\)[/tex]
- [tex]\(-2(27 \div 9) + 4\)[/tex]
- [tex]\((14 + -2)(-6)\)[/tex]
- [tex]\((4 - 10) - (8 \div(-2))\)[/tex]
1. Expression: [tex]\(2 + 2 \cdot (-3) \cdot 7\)[/tex]
\
Let's break it down step-by-step:
[tex]\[ 2 + 2 \cdot (-3) \cdot 7 = 2 + (2 \cdot -3) \cdot 7 = 2 + (-6) \cdot 7 = 2 + (-42) = 2 - 42 = -40 \][/tex]
Since [tex]\(-40\)[/tex] is negative, this expression has a negative value.
2. Expression: [tex]\(-2 \cdot \left(\frac{27}{9}\right) + 4\)[/tex]
\
Let's break it down step-by-step:
[tex]\[ -2 \cdot \left(\frac{27}{9}\right) + 4 = -2 \cdot 3 + 4 = -6 + 4 = -2 \][/tex]
Since [tex]\(-2\)[/tex] is negative, this expression has a negative value.
3. Expression: [tex]\((14 + -2) \cdot (-6)\)[/tex]
\
Let's break it down step-by-step:
[tex]\[ (14 + -2) \cdot (-6) = (14 - 2) \cdot (-6) = 12 \cdot (-6) = -72 \][/tex]
Since [tex]\(-72\)[/tex] is negative, this expression has a negative value.
4. Expression: [tex]\((4 - 10) - \left(\frac{8}{-2}\right)\)[/tex]
\
Let's break it down step-by-step:
[tex]\[ (4 - 10) - \left(\frac{8}{-2}\right) = -6 - (-4) = -6 + 4 = -2 \][/tex]
Since [tex]\(-2\)[/tex] is negative, this expression has a negative value.
In summary, all four expressions have negative values:
- [tex]\(2 + 2(-3)(7)\)[/tex]
- [tex]\(-2(27 \div 9) + 4\)[/tex]
- [tex]\((14 + -2)(-6)\)[/tex]
- [tex]\((4 - 10) - (8 \div(-2))\)[/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.