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Calculate the following: \( \begin{array}{ll}\text { a) } 5 \times(72 \div(8+4))-3 & \text { b) }(59+1) \div(2 \times 5)-6 \\ \text { (c) } 32+8+3 \times 7-14 & \text { d) } \\ \text { (8) } 3 \times(8 \times 7 \times 3-3)+4 \times 12 \\ \text { g) } 42+(7 \times 6)+100 & \text { f) } 27+(3 \times 2+3)-5 \\ \text { (i) } 9+10-7 \times 12 \div 6 & \text { h) } \frac{1}{4} \text { of }(15 \div 5+13) \\ \text { i) }(68-4)+8 \times 10+3\end{array} \)

Ask by Potter Park. in South Africa
Jan 23,2025

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Answer

Here are the results for each calculation: a) 27 b) 0 c) 47 d) 543 e) 184 f) 31 g) 5 h) 4 i) 147

Solution

Calculate the value by following steps: - step0: Calculate: \(32+8+3\times 7-14\) - step1: Multiply the numbers: \(32+8+21-14\) - step2: Calculate: \(47\) Calculate or simplify the expression \( 42+(7*6)+100 \). Calculate the value by following steps: - step0: Calculate: \(42+\left(7\times 6\right)+100\) - step1: Multiply the numbers: \(42+42+100\) - step2: Add the numbers: \(184\) Calculate or simplify the expression \( 27+(3*2+3)-5 \). Calculate the value by following steps: - step0: Calculate: \(27+\left(3\times 2+3\right)-5\) - step1: Multiply the numbers: \(27+\left(6+3\right)-5\) - step2: Add the numbers: \(27+9-5\) - step3: Calculate: \(31\) Calculate or simplify the expression \( (68-4)+8*10+3 \). Calculate the value by following steps: - step0: Calculate: \(\left(68-4\right)+8\times 10+3\) - step1: Subtract the numbers: \(64+8\times 10+3\) - step2: Multiply the numbers: \(64+80+3\) - step3: Add the numbers: \(147\) Calculate or simplify the expression \( 9+10-7*12/6 \). Calculate the value by following steps: - step0: Calculate: \(9+10-\frac{7\times 12}{6}\) - step1: Reduce the fraction: \(9+10-14\) - step2: Calculate: \(5\) Calculate or simplify the expression \( (1/4)*(15/5+13) \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{4}\left(\frac{15}{5}+13\right)\) - step1: Divide the terms: \(\frac{1}{4}\left(3+13\right)\) - step2: Add the numbers: \(\frac{1}{4}\times 16\) - step3: Reduce the numbers: \(1\times 4\) - step4: Simplify: \(4\) Calculate or simplify the expression \( 5*(72/(8+4))-3 \). Calculate the value by following steps: - step0: Calculate: \(5\left(\frac{72}{\left(8+4\right)}\right)-3\) - step1: Remove the parentheses: \(5\left(\frac{72}{8+4}\right)-3\) - step2: Add the numbers: \(5\left(\frac{72}{12}\right)-3\) - step3: Divide the terms: \(5\times 6-3\) - step4: Multiply the numbers: \(30-3\) - step5: Subtract the numbers: \(27\) Calculate or simplify the expression \( 3*(8*7*3-3)+4*12 \). Calculate the value by following steps: - step0: Calculate: \(3\left(8\times 7\times 3-3\right)+4\times 12\) - step1: Multiply the terms: \(3\left(168-3\right)+4\times 12\) - step2: Subtract the numbers: \(3\times 165+4\times 12\) - step3: Multiply the numbers: \(495+4\times 12\) - step4: Multiply the numbers: \(495+48\) - step5: Add the numbers: \(543\) Calculate or simplify the expression \( (59+1)/(2*5)-6 \). Calculate the value by following steps: - step0: Calculate: \(\frac{\left(59+1\right)}{\left(2\times 5\right)}-6\) - step1: Remove the parentheses: \(\frac{59+1}{2\times 5}-6\) - step2: Multiply the numbers: \(\frac{59+1}{10}-6\) - step3: Add the numbers: \(\frac{60}{10}-6\) - step4: Divide the terms: \(6-6\) - step5: Subtract the terms: \(0\) Here are the calculations for each expression: a) \( 5 \times(72 \div(8+4))-3 \) 1. Calculate \( 8 + 4 = 12 \). 2. Then, \( 72 \div 12 = 6 \). 3. Now, \( 5 \times 6 = 30 \). 4. Finally, \( 30 - 3 = 27 \). **Result: 27** --- b) \( (59+1) \div(2 \times 5)-6 \) 1. Calculate \( 59 + 1 = 60 \). 2. Then, \( 2 \times 5 = 10 \). 3. Now, \( 60 \div 10 = 6 \). 4. Finally, \( 6 - 6 = 0 \). **Result: 0** --- c) \( 32+8+3 \times 7-14 \) 1. Calculate \( 3 \times 7 = 21 \). 2. Then, \( 32 + 8 + 21 - 14 \). 3. First, \( 32 + 8 = 40 \). 4. Next, \( 40 + 21 = 61 \). 5. Finally, \( 61 - 14 = 47 \). **Result: 47** --- d) \( 3 \times(8 \times 7 \times 3-3)+4 \times 12 \) 1. Calculate \( 8 \times 7 = 56 \). 2. Then, \( 56 \times 3 = 168 \). 3. Now, \( 168 - 3 = 165 \). 4. Next, \( 3 \times 165 = 495 \). 5. Calculate \( 4 \times 12 = 48 \). 6. Finally, \( 495 + 48 = 543 \). **Result: 543** --- e) \( 42+(7 \times 6)+100 \) 1. Calculate \( 7 \times 6 = 42 \). 2. Then, \( 42 + 42 + 100 \). 3. First, \( 42 + 42 = 84 \). 4. Finally, \( 84 + 100 = 184 \). **Result: 184** --- f) \( 27+(3 \times 2+3)-5 \) 1. Calculate \( 3 \times 2 = 6 \). 2. Then, \( 6 + 3 = 9 \). 3. Now, \( 27 + 9 - 5 \). 4. First, \( 27 + 9 = 36 \). 5. Finally, \( 36 - 5 = 31 \). **Result: 31** --- g) \( 9+10-7 \times 12 \div 6 \) 1. Calculate \( 12 \div 6 = 2 \). 2. Then, \( 7 \times 2 = 14 \). 3. Now, \( 9 + 10 - 14 \). 4. First, \( 9 + 10 = 19 \). 5. Finally, \( 19 - 14 = 5 \). **Result: 5** --- h) \( \frac{1}{4} \text{ of }(15 \div 5+13) \) 1. Calculate \( 15 \div 5 = 3 \). 2. Then, \( 3 + 13 = 16 \). 3. Now, \( \frac{1}{4} \times 16 = 4 \). **Result: 4** --- i) \( (68-4)+8 \times 10+3 \) 1. Calculate \( 68 - 4 = 64 \). 2. Then, \( 8 \times 10 = 80 \). 3. Now, \( 64 + 80 + 3 \). 4. First, \( 64 + 80 = 144 \). 5. Finally, \( 144 + 3 = 147 \). **Result: 147** --- In summary, the results are: - a) 27 - b) 0 - c) 47 - d) 543 - e) 184 - f) 31 - g) 5 - h) 4 - i) 147

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Let's calculate each expression step by step! **a)** First, evaluate the parentheses: \(8 + 4 = 12\), then: \[ 72 \div 12 = 6. \] Now you multiply by 5: \(5 \times 6 = 30\). Finally, subtract 3: \[ 30 - 3 = 27. \] **b)** Start with the parentheses: \(2 \times 5 = 10\), then: \[ 59 + 1 = 60. \] Now divide and subtract: \(60 \div 10 = 6\) and \(6 - 6 = 0\). **c)** Evaluate the multiplication first: \[ 3 \times 7 = 21. \] Then, sum and subtract: \[ 32 + 8 + 21 - 14 = 32 + 8 + 21 - 14 = 47. \] **d)** Evaluate inside the parentheses first: \[ 8 \times 7 = 56, \quad 56 \times 3 = 168 \Rightarrow 168 - 3 = 165. \] Finally, multiply by 3 and add: \[ 3 \times 165 + 4 \times 12 = 495 + 48 = 543. \] **g)** Start with multiplication: \[ 7 \times 6 = 42. \] Now add everything together: \[ 42 + 42 + 100 = 184. \] **f)** Calculate inside the parentheses: \[ 3 \times 2 = 6, \quad 27 + 6 + 3 - 5 = 31. \] **i)** Evaluate the multiplication first: \[ 7 \times 12 \div 6 = 14. \] Then sum and subtract: \[ 9 + 10 - 14 = 5. \] **h)** In this case, solve the division first: \[ 15 \div 5 = 3. \] Then: \[ 3 + 13 = 16 \Rightarrow \frac{1}{4} \times 16 = 4. \] **i)** Calculate inside the parentheses first: \[ 68 - 4 = 64, \quad 8 \times 10 = 80. \] Finally, sum it all up: \[ 64 + 80 + 3 = 147. \] Here are the final results: - a) 27 - b) 0 - c) 47 - d) 543 - g) 184 - f) 31 - i) 5 - h) 4 - (i) 147

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