Pregunta
18. Use Structure Teresa placed parentheses in the expression below so that its value was greater than 80 . Write the expression to show where Teresa might have placed the parentheses. \( 10.5+9.5 \times 3-1 \times 2.5 \)
Ask by Floyd Nguyen. in the United States
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
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Teresa can place the parentheses as follows to make the expression greater than 80:
\[
(10.5 + 9.5) \times (3 - 1) \times 2.5 = 100
\]
Solución
To make the value of the expression greater than 80, Teresa can strategically place parentheses to alter the order of operations, maximizing the result. Here's how she might do it:
\[
(10.5 + 9.5) \times (3 - 1) \times 2.5
\]
**Breakdown of the Calculation:**
1. **First Parentheses:**
\((10.5 + 9.5) = 20\)
2. **Second Parentheses:**
\((3 - 1) = 2\)
3. **Multiplication:**
\(20 \times 2 = 40\)
\(40 \times 2.5 = 100\)
**Final Result:**
\[
(10.5 + 9.5) \times (3 - 1) \times 2.5 = 100
\]
This arrangement ensures that the expression evaluates to **100**, which is greater than 80.
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Bonus Knowledge
To ensure that the value of the expression exceeds 80, Teresa could place the parentheses as follows: \( (10.5 + 9.5) \times (3 - 1) \times 2.5 \). This arrangement emphasizes the addition first, significantly boosting the overall outcome while multiplying the results of the subsequent operations, leading the entire expression to soar above 80!
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