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 your math problems: 3.1.1 Step 1: Evaluate the expression inside the parentheses. 4 × (5 - 20) = 4 × (-15) Step 2: Perform the multiplication. 4 × (-15) = -60 The final answer is -60. 3.1.2 Step 1: Evaluate the expression inside the parentheses. 5 × (-3 + 7) + 20 ÷ (-4) = 5 × (4) + 20 ÷ (-4) Step 2: Perform the multiplication and division. 5 × 4 = 20 20 ÷ (-4) = -5 Step 3: Perform the addition. 20 + (-5) = 15 The final answer is 15. 3.1.3 Step 1: Calculate each root. sqrt(25) = 5 [3]8 = 2 [3]125 = 5 Step 2: Substitute the values back into the expression and perform the operations. 5 - 2 + 5 = 3 + 5 = 8 The final answer is 8. 3.1.4 Step 1: Find the cube root of the numerator and the denominator. [3]-(3)/(8) = [3]-3[3]8 Since [3]-3 is not a rational number, and the problem asks to evaluate, it implies a simplification if possible. However, the expression is [3]-(3)/(8). We can write 3]-(3)/(8) = [3]-1 × (3)/(8) = [3]-1 × [3/(8) = -1 × [3]3[3]8 = -1 × [3]32 = -[3]32 The final answer is -[3]32. 3.2 Step 1: Perform the addition and subtraction from left to right. 16.014 + 2.45 - 0.4 = 18.464 - 0.4 = 18.064 Step 2: Round the answer to 2 decimal places. The third decimal place is 4, which is less than 5, so we round down. 18.064 ≈ 18.06 The final answer is 18.06. 3.3 Step 1: Perform the multiplication. 3.45 × 2.7 Multiply 345 × 27: 345 × 7 = 2415 345 × 20 = 6900 2415 + 6900 = 9315 Since there are a total of 2+1=3 decimal places in 3.45 and 2.7, place the decimal point 3 places from the right in the product. 3.45 × 2.7 = 9.315 The final answer is 9.315. 3.4 Step 1: Perform the division. 1450 ÷ 5 1450 ÷ 5 = 290 The final answer is 290. That's 2 down. 3 left today — send the next one.