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