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
Welcome back Prudence — missed you this week. Here are the calculations using the associative property: a) Step 1: Apply the associative property. [(-6) + (4 + 2)] = [(-6) + 4] + 2 Step 2: Perform the addition inside the first set of parentheses. = (-2) + 2 Step 3: Perform the final addition. = 0 b) Step 1: Apply the associative property. [3 + 7 + (-5)] = (3 + 7) + (-5) Step 2: Perform the addition inside the parentheses. = 10 + (-5) Step 3: Perform the final addition. = 5 c) Step 1: Apply the associative property. [(6 + 4) + (-2)] = 6 + [4 + (-2)] Step 2: Perform the addition inside the second set of parentheses. = 6 + 2 Step 3: Perform the final addition. = 8 d) Step 1: Apply the associative property. [(-3) + 7 + 5] = [(-3) + 7] + 5 Step 2: Perform the addition inside the first set of parentheses. = 4 + 5 Step 3: Perform the final addition. = 9 e) Step 1: Apply the associative property. [(-4) + (6 + 2)] = [(-4) + 6] + 2 Step 2: Perform the addition inside the first set of parentheses. = 2 + 2 Step 3: Perform the final addition. = 4 f) Step 1: Apply the associative property. [3 + (-7) + 5] = [3 + (-7)] + 5 Step 2: Perform the addition inside the first set of parentheses. = (-4) + 5 Step 3: Perform the final addition. = 1 g) Step 1: Apply the associative property. [(-9) + (3 + 11)] = [(-9) + 3] + 11 Step 2: Perform the addition inside the first set of parentheses. = (-6) + 11 Step 3: Perform the final addition. = 5 h) Step 1: Apply the associative property. [(12 + 13) + (-10)] = 12 + [13 + (-10)] Step 2: Perform the addition inside the second set of parentheses. = 12 + 3 Step 3: Perform the final addition. = 15 i) Step 1: Apply the associative property. [(-3) + (9 + 11)] = [(-3) + 9] + 11 Step 2: Perform the addition inside the first set of parentheses. = 6 + 11 Step 3: Perform the final addition. = 17 j) Step 1: Apply the associative property. [(-12) + (13 + 10)] = [(-12) + 13] + 10 Step 2: Perform the addition inside the first set of parentheses. = 1 + 10 Step 3: Perform the final addition. = 11 Drop the next question! 📸