Question
c) \( 125+25 \div 5-(250 \times 2 \div 50)+144 \div 12-15= \)
Ask by Hobbs Gonzalez. in Mexico
Jan 26,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
El resultado es 117.
Solution
Para resolver la expresión:
\[ 125 + \frac{25}{5} - \left( \frac{250 \times 2}{50} \right) + \frac{144}{12} - 15 \]
**Paso 1:** Realizamos las divisiones y multiplicaciones primero.
\[
\frac{25}{5} = 5
\]
\[
250 \times 2 = 500
\]
\[
\frac{500}{50} = 10
\]
\[
\frac{144}{12} = 12
\]
**Paso 2:** Sustituimos estos valores en la expresión original.
\[
125 + 5 - 10 + 12 - 15
\]
**Paso 3:** Realizamos las sumas y restas de izquierda a derecha.
\[
125 + 5 = 130
\]
\[
130 - 10 = 120
\]
\[
120 + 12 = 132
\]
\[
132 - 15 = 117
\]
**Resultado final:**
\[ 125 + \frac{25}{5} - \left( \frac{250 \times 2}{50} \right) + \frac{144}{12} - 15 = 117 \]
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Simplify this solution Extra Insights
To solve the expression \( 125 + 25 \div 5 - (250 \times 2 \div 50) + 144 \div 12 - 15 \), we follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction). 1. Calculate the divisions first: - \( 25 \div 5 = 5 \) - \( 250 \times 2 = 500 \); then \( 500 \div 50 = 10 \) - \( 144 \div 12 = 12 \) 2. Now substitute those values back into the expression: - \( 125 + 5 - 10 + 12 - 15 \) 3. Now perform addition and subtraction from left to right: - \( 125 + 5 = 130 \) - \( 130 - 10 = 120 \) - \( 120 + 12 = 132 \) - \( 132 - 15 = 117 \) Therefore, the final answer is \( 117 \).
