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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 :

GinnyAnsweridn
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].
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