This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Here are the solutions to questions 1 to 19: Question 1: Step 1: Perform the multiplication. 18 - 6 × 2 = 18 - 12 Step 2: Perform the subtraction. 18 - 12 = 6 The answer is 6. Question 2: Step 1: Perform the division. 12 + 15 ÷ 3 = 12 + 5 Step 2: Perform the addition. 12 + 5 = 17 The answer is 17. Question 3: Step 1: Perform the operation inside the parentheses. 4 × (5 + 3) = 4 × 8 Step 2: Perform the multiplication. 4 × 8 = 32 The answer is 32. Question 4: Step 1: Perform the division. 25 ÷ 5 - 3 = 5 - 3 Step 2: Perform the subtraction. 5 - 3 = 2 The answer is 2. Question 5: Step 1: Perform the multiplication. 10 + 2 × 7 - 4 = 10 + 14 - 4 Step 2: Perform addition and subtraction from left to right. 10 + 14 - 4 = 24 - 4 = 20 The answer is 20. Question 6: Step 1: Perform the operation inside the parentheses. 36 ÷ (9 - 3) = 36 ÷ 6 Step 2: Perform the division. 36 ÷ 6 = 6 The answer is 6. Question 7: Step 1: Perform the multiplications. 5 × 8 - 2 × 10 = 40 - 20 Step 2: Perform the subtraction. 40 - 20 = 20 The answer is 20. Question 8: Step 1: Perform the multiplication inside the parentheses. 100 - (20 + 5 × 4) = 100 - (20 + 20) Step 2: Perform the addition inside the parentheses. 100 - (20 + 20) = 100 - 40 Step 3: Perform the subtraction. 100 - 40 = 60 The answer is 60. Question 9: Step 1: Find a common denominator for the fractions. The least common multiple of 2 and 4 is 4. (1)/(2) + (1)/(4) = (1 × 2)/(2 × 2) + (1)/(4) = (2)/(4) + (1)/(4) Step 2: Add the fractions. (2)/(4) + (1)/(4) = (2 + 1)/(4) = (3)/(4) The answer is (3)/(4). Question 10: Step 1: Find a common denominator for the fractions. The least common multiple of 5 and 10 is 10. (3)/(5) - (1)/(10) = (3 × 2)/(5 × 2) - (1)/(10) = (6)/(10) - (1)/(10) Step 2: Subtract the fractions. (6)/(10) - (1)/(10) = (6 - 1)/(10) = (5)/(10) Step 3: Simplify the fraction. (5)/(10) = (1)/(2) The answer is (1)/(2). Question 11: Step 1: Multiply the numerators and the denominators. (2)/(3) × (3)/(4) = (2 × 3)/(3 × 4) = (6)/(12) Step 2: Simplify the fraction. (6)/(12) = (1)/(2) The answer is (1)/(2). Question 12: Step 1: To divide by a fraction, multiply by its reciprocal. (5)/(6) ÷ (1)/(3) = (5)/(6) × (3)/(1) Step 2: Multiply the fractions. (5)/(6) × (3)/(1) = (5 × 3)/(6 × 1) = (15)/(6) Step 3: Simplify the fraction. (15)/(6) = (5)/(2) The answer is (5)/(2). Question 13: Step 1: Add the decimals. 0.75 + 0.25 = 1.00 The answer is 1. Question 14: Step 1: Subtract the decimals. 1.5 - 0.8 = 0.7 The answer is 0.7. Question 15: Step 1: Multiply the numbers. 2.3 × 4 = 9.2 The answer is 9.2. Question 16: Step 1: Divide the numbers. 6.4 ÷ 2 = 3.2 The answer is 3.2. Question 17: Step 1: Calculate the squares. 3^2 = 9 4^2 = 16 Step 2: Add the results. 9 + 16 = 25 The answer is 25. Question 18: Step 1: Calculate the square roots. sqrt(25) = 5 sqrt(16) = 4 Step 2: Add the results. 5 + 4 = 9 The answer is 9. Question 19: Step 1: Perform the operation inside the parentheses. (2 + 3)^2 - 10 = (5)^2 - 10 Step 2: Calculate the square. (5)^2 - 10 = 25 - 10 Step 3: Perform the subtraction. 25 - 10 = 15 The answer is 15. Send me the next one 📸