Evaluate the expression 8v / 2w given that v = 6 and w = -8.
Understand the Problem
The question is asking us to evaluate the expression 8v / 2w by substituting the given values of v and w, which are 6 and -8 respectively.
Answer
The value of the expression $\frac{8v}{2w}$ when $v=6$ and $w=-8$ is $-3$.
Answer for screen readers
The final answer is $-3$.
Steps to Solve
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Substitute the values of v and w into the expression Replace $v$ with 6 and $w$ with -8 in the expression $\frac{8v}{2w}$.
This gives us: $$ \frac{8(6)}{2(-8)} $$
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Perform the multiplication in the numerator Calculate $8 \times 6$.
This gives us: $$ 8 \times 6 = 48 $$
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Perform the multiplication in the denominator Calculate $2 \times (-8)$.
This gives us: $$ 2 \times (-8) = -16 $$
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Set up the fraction Now our expression looks like: $$ \frac{48}{-16} $$
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Simplify the fraction Divide 48 by -16.
This gives us: $$ \frac{48}{-16} = -3 $$
The final answer is $-3$.
More Information
The expression evaluates to a negative value because we are dividing a positive number (48) by a negative number (-16). This is a basic rule of arithmetic: a positive divided by a negative results in a negative.
Tips
- Forgetting to apply the negative sign when multiplying in the denominator can lead to a wrong answer. Always double-check the signs in your calculations.
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