Question
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b) \( -90 \times 15 \div 5-45+32 \) d) \( 55+48 \div 6-11 \times 7 \) f) \( 12 \times 150 \div 15-(4+52) \) h) \( 70-50 \times 95 \div(14+5)+21 \)

Ask by Franklin Welch. in Kenya
Jan 23,2025

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Tutor-Verified Answer

Answer

b) -283 d) -14 f) 64 h) -159

Solution

Calculate the value by following steps: - step0: Calculate: \(\frac{-90\times 15}{5}-45+32\) - step1: Reduce the fraction: \(-270-45+32\) - step2: Calculate: \(-283\) Calculate or simplify the expression \( 70 - 50 * 95 / (14 + 5) + 21 \). Calculate the value by following steps: - step0: Calculate: \(70-\frac{50\times 95}{\left(14+5\right)}+21\) - step1: Remove the parentheses: \(70-\frac{50\times 95}{14+5}+21\) - step2: Multiply the numbers: \(70-\frac{4750}{14+5}+21\) - step3: Add the numbers: \(70-\frac{4750}{19}+21\) - step4: Divide the terms: \(70-250+21\) - step5: Calculate: \(-159\) Calculate or simplify the expression \( 12 * 150 / 15 - (4 + 52) \). Calculate the value by following steps: - step0: Calculate: \(\frac{12\times 150}{15}-\left(4+52\right)\) - step1: Reduce the fraction: \(120-\left(4+52\right)\) - step2: Add the numbers: \(120-56\) - step3: Subtract the numbers: \(64\) Calculate or simplify the expression \( 55 + 48 / 6 - 11 * 7 \). Calculate the value by following steps: - step0: Calculate: \(55+\frac{48}{6}-11\times 7\) - step1: Divide the terms: \(55+8-11\times 7\) - step2: Multiply the numbers: \(55+8-77\) - step3: Calculate: \(-14\) Here are the results for each expression: b) \( -90 \times 15 \div 5 - 45 + 32 = -283 \) d) \( 55 + 48 \div 6 - 11 \times 7 = -14 \) f) \( 12 \times 150 \div 15 - (4 + 52) = 64 \) h) \( 70 - 50 \times 95 \div (14 + 5) + 21 = -159 \)

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Extra Insights

For the first expression, you’ll find that operations follow the order of multiplication and division before addition and subtraction. Starting with \( -90 \times 15 \), you get \( -1350 \). Then divide by \( 5 \) to get \( -270 \). Continue with \( -270 - 45 + 32 \) to ultimately arrive at \( -283 \). In the second expression, begin with \( 48 \div 6 \) which yields \( 8 \). After that, \( 55 + 8 - 11 \times 7 \) starts as \( 55 + 8 - 77 \), leading to \( -14 \) as the final answer. Watching out for the sequence of operations can save you from making small but costly mistakes!

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