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.
ScanSolve AI Answer
Here are the solutions to the practice exercise problems: 1. Evaluate: a) (-23) + 5 - 6 Step 1: Add -23 and 5. -23 + 5 = -18 Step 2: Subtract 6 from -18. -18 - 6 = -24 The result is -24. d) 250 - 40 + (-57) Step 1: Simplify the signs. 250 - 40 - 57 Step 2: Subtract 40 from 250. 250 - 40 = 210 Step 3: Subtract 57 from 210. 210 - 57 = 153 The result is 153. g) 45 × -10 ÷ 5 Step 1: Multiply 45 by -10. 45 × -10 = -450 Step 2: Divide -450 by 5. -450 ÷ 5 = -90 The result is -90. 2. Work out: a) 14 ÷ -2 × 10 - 20 + 11 Step 1: Perform division. 14 ÷ -2 = -7 Step 2: Perform multiplication. -7 × 10 = -70 Step 3: Perform subtraction. -70 - 20 = -90 Step 4: Perform addition. -90 + 11 = -79 The result is -79. c) 75 - 16 × 24 ÷ 3 + 12 Step 1: Perform multiplication. 16 × 24 = 384 Step 2: Perform division. 384 ÷ 3 = 128 Step 3: Perform subtraction. 75 - 128 = -53 Step 4: Perform addition. -53 + 12 = -41 The result is -41. e) (10 + 12) - 40 ÷ 4 + 16 Step 1: Perform operations inside the bracket. 10 + 12 = 22 Step 2: Perform division. 40 ÷ 4 = 10 Step 3: Perform subtraction. 22 - 10 = 12 Step 4: Perform addition. 12 + 16 = 28 The result is 28. g) 28 ÷ 7 × (15 - 22) + 56 - 30 Step 1: Perform operations inside the bracket. 15 - 22 = -7 Step 2: Perform division. 28 ÷ 7 = 4 Step 3: Perform multiplication. 4 × -7 = -28 Step 4: Perform addition. -28 + 56 = 28 Step 5: Perform subtraction. 28 - 30 = -2 The result is -2. That's 2 down. 3 left today — send the next one.