Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Verify the associative property of addition with the given values:

[tex]\[a = -8, \ b = 4, \ c = -1\][/tex]

Verify: [tex]\[a + (b + c) = (a + b) + c\][/tex]

Sagot :

GinnyAnswer
Certainly! To verify the equation [tex]\(a + (b + c) = (a + b) + c\)[/tex] for the given values [tex]\(a = -8\)[/tex], [tex]\(b = 4\)[/tex], and [tex]\(c = -1\)[/tex], let's go through the calculations step-by-step:

1. Compute [tex]\(b + c\)[/tex]:
[tex]\[ b + c = 4 + (-1) \][/tex]
[tex]\[ b + c = 3 \][/tex]

2. Compute [tex]\(a + (b + c)\)[/tex]:
[tex]\[ a + (b + c) = -8 + 3 \][/tex]
[tex]\[ a + (b + c) = -5 \][/tex]

3. Compute [tex]\(a + b\)[/tex]:
[tex]\[ a + b = -8 + 4 \][/tex]
[tex]\[ a + b = -4 \][/tex]

4. Compute [tex]\((a + b) + c\)[/tex]:
[tex]\[ (a + b) + c = -4 + (-1) \][/tex]
[tex]\[ (a + b) + c = -5 \][/tex]

Now, we need to compare the results from steps 2 and 4 to verify if they are equal:

- The left-hand side [tex]\(a + (b + c) = -5\)[/tex]
- The right-hand side [tex]\((a + b) + c = -5\)[/tex]

Since both sides of the equation have the same value, [tex]\(-5\)[/tex], we have verified that:
[tex]\[ a + (b + c) = (a + b) + c \][/tex]

Thus, the equation holds true for the given values [tex]\(a = -8\)[/tex], [tex]\(b = 4\)[/tex], and [tex]\(c = -1\)[/tex].
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.