1. Use clue boards to do these divisionas a) \( 868 \div 14 \) b) \( 636 \div 21 \) c) \( 908 \div 52 \) 2. Calculate the missing number: c) \( \square \div 29 』 31 \) a) \( 320 \div \square=4 \) b) \( 3124 \square=12 \) 3. Calculate the answers. Remember to do brackets first. a) \( 12 \times 8 \div 4 \) b) \( 55 \div 11 \times 600 \) c) \( 1244+63 \div 9 \) d) \( 34-21 \div 7 \) e) \( (42+16) \times 19 \) f) \( 84-(16 \times 4) \div 8 \) 4. Iam thinking of a number. If I multiply my number by 30 , the answer is 2400 . What is my number? 5. Iam thinking of a number. If I divide my number by 60 , the answer

Calculate the value by following steps: - step0: Calculate: \(1244+\frac{63}{9}\) - step1: Divide the terms: \(1244+7\) - step2: Add the numbers: \(1251\) Solve the equation \( 3124/x=12 \). Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{3124}{x}=12\) - step1: Find the domain: \(\frac{3124}{x}=12,x\neq 0\) - step2: Cross multiply: \(3124=x\times 12\) - step3: Simplify the equation: \(3124=12x\) - step4: Rewrite the expression: \(4\times 781=4\times 3x\) - step5: Evaluate: \(781=3x\) - step6: Swap the sides: \(3x=781\) - step7: Divide both sides: \(\frac{3x}{3}=\frac{781}{3}\) - step8: Divide the numbers: \(x=\frac{781}{3}\) - step9: Check if the solution is in the defined range: \(x=\frac{781}{3},x\neq 0\) - step10: Find the intersection: \(x=\frac{781}{3}\) Solve the equation \( x*30=2400 \). Solve the equation by following steps: - step0: Solve for \(x\): \(x\times 30=2400\) - step1: Reorder the terms: \(30x=2400\) - step2: Divide both sides: \(\frac{30x}{30}=\frac{2400}{30}\) - step3: Divide the numbers: \(x=80\) Calculate or simplify the expression \( 55/11*600 \). Calculate the value by following steps: - step0: Calculate: \(\frac{55}{11}\times 600\) - step1: Divide the terms: \(5\times 600\) - step2: Multiply the numbers: \(3000\) Calculate or simplify the expression \( 12*8/4 \). Calculate the value by following steps: - step0: Calculate: \(\frac{12\times 8}{4}\) - step1: Multiply the numbers: \(\frac{96}{4}\) - step2: Reduce the fraction: \(24\) Calculate or simplify the expression \( 908/52 \). Calculate the value by following steps: - step0: Calculate: \(\frac{908}{52}\) - step1: Reduce the fraction: \(\frac{227}{13}\) Calculate or simplify the expression \( 868/14 \). Calculate the value by following steps: - step0: Calculate: \(\frac{868}{14}\) - step1: Reduce the numbers: \(\frac{62}{1}\) - step2: Calculate: \(62\) Calculate or simplify the expression \( 636/21 \). Calculate the value by following steps: - step0: Calculate: \(\frac{636}{21}\) - step1: Reduce the fraction: \(\frac{212}{7}\) Calculate or simplify the expression \( (42+16)*19 \). Calculate the value by following steps: - step0: Calculate: \(\left(42+16\right)\times 19\) - step1: Add the numbers: \(58\times 19\) - step2: Multiply the numbers: \(1102\) Calculate or simplify the expression \( 34-21/7 \). Calculate the value by following steps: - step0: Calculate: \(34-\frac{21}{7}\) - step1: Divide the terms: \(34-3\) - step2: Subtract the numbers: \(31\) Calculate or simplify the expression \( 84-(16*4)/8 \). Calculate the value by following steps: - step0: Calculate: \(84-\frac{\left(16\times 4\right)}{8}\) - step1: Remove the parentheses: \(84-\frac{16\times 4}{8}\) - step2: Reduce the fraction: \(84-8\) - step3: Subtract the numbers: \(76\) Solve the equation \( 320/x=4 \). Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{320}{x}=4\) - step1: Find the domain: \(\frac{320}{x}=4,x\neq 0\) - step2: Cross multiply: \(320=x\times 4\) - step3: Simplify the equation: \(320=4x\) - step4: Rewrite the expression: \(4\times 80=4x\) - step5: Evaluate: \(80=x\) - step6: Swap the sides: \(x=80\) - step7: Check if the solution is in the defined range: \(x=80,x\neq 0\) - step8: Find the intersection: \(x=80\) Let's solve the problems step by step. ### 1. Division Problems a) \( 868 \div 14 = 62 \) b) \( 636 \div 21 = 30 \frac{6}{7} \) or approximately \( 30.8571 \) c) \( 908 \div 52 = 17 \frac{6}{13} \) or approximately \( 17.4615 \) ### 2. Calculate the Missing Number a) For \( 320 \div \square = 4 \): - Let \( x \) be the missing number. - \( 320 \div x = 4 \) - Solving gives \( x = 80 \). b) For \( 3124 \div \square = 12 \): - Let \( x \) be the missing number. - \( 3124 \div x = 12 \) - Solving gives \( x = \frac{3124}{12} = 260.33 \). c) For \( \square \div 29 = 31 \): - Let \( x \) be the missing number. - \( x \div 29 = 31 \) - Solving gives \( x = 31 \times 29 = 899 \). ### 3. Calculate the Answers (Brackets First) a) \( 12 \times 8 \div 4 = 24 \) b) \( 55 \div 11 \times 600 = 3000 \) c) \( 1244 + 63 \div 9 = 1251 \) d) \( 34 - 21 \div 7 = 31 \) e) \( (42 + 16) \times 19 = 1102 \) f) \( 84 - (16 \times 4) \div 8 = 76 \) ### 4. Finding the Number If I multiply my number by 30, the answer is 2400: - Let \( x \) be the number. - \( x \times 30 = 2400 \) - Solving gives \( x = 80 \). ### 5. Finding the Number (Incomplete) The last part of your question seems to be incomplete. If you provide the complete statement, I can help you solve it. ### Summary of Results 1. a) 62, b) \( 30 \frac{6}{7} \), c) \( 17 \frac{6}{13} \) 2. a) 80, b) \( 260.33 \), c) 899 3. a) 24, b) 3000, c) 1251, d) 31, e) 1102, f) 76 4. 80 If you have any further questions or need additional assistance, feel free to ask!