Question
9:49 PM Thu Feb 20 Emilio Mejia Felici... R. 4 Evaluate linear expressions Video 06:08 Evaluate the expression for \( h=-0.1 \). Write your answer as a decimal or whole number. \[ 8+5 h= \] \( \square \) Submit Not ready yet?
Ask by Nguyen Bond. in Puerto Rico
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The value of \( 8 + 5h \) when \( h = -0.1 \) is 7.5.
Solution
Evaluate the expression by following steps:
- step0: Evaluate:
\(8+5h\)
- step1: Substitute:
\(8+5\left(-0.1\right)\)
- step2: Multiply the numbers:
\(8-0.5\)
- step3: Subtract the numbers:
\(7.5\)
To evaluate the expression \( 8 + 5h \) for \( h = -0.1 \), we substitute \(-0.1\) into the expression:
\[
8 + 5(-0.1) = 8 - 0.5 = 7.5
\]
Thus, the final answer is:
\[
\boxed{7.5}
\]
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Simplify this solution Bonus Knowledge
First, let's plug in the value of \( h \) into the expression. The expression \( 8 + 5h \) becomes \( 8 + 5(-0.1) \). This simplifies to \( 8 - 0.5 \), which equals \( 7.5 \). So, when you substitute \(-0.1\) for \( h \), the result is \( 7.5 \). Now, a common mistake here is forgetting to multiply the \( 5 \) before adding \( 8 \). Another tip is to double-check your signs when working with negative numbers, as they can sometimes trip you up. A quick mental calculation or writing it down can help avoid errors!
