Pregunta
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(a) \( 4.7-7.8 \times 0.3: 1.36 \) (o) \( -3.48+(7.36+1.24) \times 0.6=1 \) (e) \( -2.65-\frac{1.44}{-1.2}+3.22=1.77 \)

Ask by Harper Potter. in Malaysia
Mar 18,2025

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- (a) ≈ 2.98 - (o) = 1.68 - (e) = 1.77

Solución

Calculate the value by following steps: - step0: Calculate: \(-3.48+\left(7.36+1.24\right)\times 0.6\) - step1: Add the numbers: \(-3.48+8.6\times 0.6\) - step2: Multiply the numbers: \(-3.48+5.16\) - step3: Add the numbers: \(1.68\) Calculate or simplify the expression \( 4.7-7.8*0.3/1.36 \). Calculate the value by following steps: - step0: Calculate: \(4.7-\frac{7.8\times 0.3}{1.36}\) - step1: Multiply the numbers: \(4.7-\frac{2.34}{1.36}\) - step2: Divide the terms: \(4.7-\frac{117}{68}\) - step3: Convert the expressions: \(\frac{47}{10}-\frac{117}{68}\) - step4: Reduce fractions to a common denominator: \(\frac{47\times 34}{10\times 34}-\frac{117\times 5}{68\times 5}\) - step5: Multiply the numbers: \(\frac{47\times 34}{340}-\frac{117\times 5}{68\times 5}\) - step6: Multiply the numbers: \(\frac{47\times 34}{340}-\frac{117\times 5}{340}\) - step7: Transform the expression: \(\frac{47\times 34-117\times 5}{340}\) - step8: Multiply the numbers: \(\frac{1598-117\times 5}{340}\) - step9: Multiply the numbers: \(\frac{1598-585}{340}\) - step10: Subtract the numbers: \(\frac{1013}{340}\) Calculate or simplify the expression \( -2.65-1.44/-1.2+3.22 \). Calculate the value by following steps: - step0: Calculate: \(-2.65-\frac{1.44}{\left(-1.2\right)}+3.22\) - step1: Remove the parentheses: \(-2.65-\frac{1.44}{-1.2}+3.22\) - step2: Use the rules for multiplication and division: \(-2.65+\frac{1.44}{1.2}+3.22\) - step3: Divide the terms: \(-2.65+\frac{6}{5}+3.22\) - step4: Add the numbers: \(0.57+\frac{6}{5}\) - step5: Convert the expressions: \(\frac{57}{100}+\frac{6}{5}\) - step6: Reduce fractions to a common denominator: \(\frac{57}{100}+\frac{6\times 20}{5\times 20}\) - step7: Multiply the numbers: \(\frac{57}{100}+\frac{6\times 20}{100}\) - step8: Transform the expression: \(\frac{57+6\times 20}{100}\) - step9: Multiply the numbers: \(\frac{57+120}{100}\) - step10: Add the numbers: \(\frac{177}{100}\) Let's solve each expression step by step. ### (a) \( 4.7 - 7.8 \times 0.3 : 1.36 \) 1. **Calculate \( 7.8 \times 0.3 \)**: \[ 7.8 \times 0.3 = 2.34 \] 2. **Now divide by \( 1.36 \)**: \[ \frac{2.34}{1.36} \approx 1.720588 \] 3. **Finally, subtract from \( 4.7 \)**: \[ 4.7 - 1.720588 \approx 2.979412 \] So, the result for (a) is approximately \( 2.979412 \). ### (o) \( -3.48 + (7.36 + 1.24) \times 0.6 = 1 \) 1. **Calculate \( 7.36 + 1.24 \)**: \[ 7.36 + 1.24 = 8.6 \] 2. **Now multiply by \( 0.6 \)**: \[ 8.6 \times 0.6 = 5.16 \] 3. **Finally, add to \( -3.48 \)**: \[ -3.48 + 5.16 = 1.68 \] So, the result for (o) is \( 1.68 \). ### (e) \( -2.65 - \frac{1.44}{-1.2} + 3.22 = 1.77 \) 1. **Calculate \( \frac{1.44}{-1.2} \)**: \[ \frac{1.44}{-1.2} = -1.2 \] 2. **Now substitute back into the expression**: \[ -2.65 - (-1.2) + 3.22 \] 3. **This simplifies to**: \[ -2.65 + 1.2 + 3.22 \] 4. **Calculate step by step**: - First, \( -2.65 + 1.2 = -1.45 \) - Then, \( -1.45 + 3.22 = 1.77 \) So, the result for (e) is \( 1.77 \). ### Summary of Results: - (a) \( \approx 2.979412 \) - (o) \( 1.68 \) - (e) \( 1.77 \)

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The Deep Dive

Did you know that the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), is crucial for solving mathematical expressions correctly? This rule ensures that everyone interprets and solves equations the same way, preventing confusion and mistakes. So, next time you’re tackling a problem, remember to follow the order like a trusty map to avoid getting lost in calculations! In today's fast-paced world, math is everywhere, from budgeting your expenses to analyzing data trends for businesses. Understanding basic arithmetic expressions can enhance your decision-making skills — whether it's figuring out sale prices, splitting a bill, or calculating interest rates. So, mastering these operations isn't just homework; it's a powerful life tool that helps you navigate daily challenges with confidence!

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