Use the associative property to solve the following equations: a) [(-6) + (4 + 2)], b) [3 + 7 + (-5)], c) [(6 + 4) + (-2)], d) [(-3) + 7 + 5], e) [(-4) + (6 + 2)], f) [3 + (-7) + 5]

Question

Asked on May 7, 2026Mathematics

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.

Accepted Answer · 2026-05-07T18:59:24.892Z

Here are the calculations using the associative property: *a) [(-6) + (4 + 2)] Step 1: Apply the associative property to regroup the terms. [(-6) + (4 + 2)] = ((-6) + 4) + 2 Step 2: Perform the addition inside the first parenthesis. = (-2) + 2 Step 3: Perform the final addition. = 0 *b) [3 + 7 + (-5)] Step 1: Apply the associative property to regroup the terms. [3 + 7 + (-5)] = (3 + 7) + (-5) Step 2: Perform the addition inside the parenthesis. = 10 + (-5) Step 3: Perform the final addition. = 5 *c) [(6 + 4) + (-2)] Step 1: Apply the associative property to regroup the terms. [(6 + 4) + (-2)] = 6 + (4 + (-2)) Step 2: Perform the addition inside the parenthesis. = 6 + 2 Step 3: Perform the final addition. = 8 *d) [(-3) + 7 + 5] Step 1: Apply the associative property to regroup the terms. [(-3) + 7 + 5] = (-3) + (7 + 5) Step 2: Perform the addition inside the parenthesis. = (-3) + 12 Step 3: Perform the final addition. = 9 *e) [(-4) + (6 + 2)] Step 1: Apply the associative property to regroup the terms. [(-4) + (6 + 2)] = ((-4) + 6) + 2 Step 2: Perform the addition inside the first parenthesis. = 2 + 2 Step 3: Perform the final addition. = 4 *f) [3 + (-7) + 5] Step 1: Apply the associative property to regroup the terms. [3 + (-7) + 5] = 3 + ((-7) + 5) Step 2: Perform the addition inside the parenthesis. = 3 + (-2) Step 3: Perform the final addition. = 1 *g) [(-9) + (3 + 11)] Step 1: Apply the associative property to regroup the terms. [(-9) + (3 + 11)] = ((-9) + 3) + 11 Step 2: Perform the addition inside the first parenthesis. = (-6) + 11 Step 3: Perform the final addition. = 5 *h) [(12 + 13) + (-10)] Step 1: Apply the associative property to regroup the terms. [(12 + 13) + (-10)] = 12 + (13 + (-10)) Step 2: Perform the addition inside the parenthesis. = 12 + 3 Step 3: Perform the final addition. = 15 *i) [(-3) + (9 + 11)] Step 1: Apply the associative property to regroup the terms. [(-3) + (9 + 11)] = ((-3) + 9) + 11 Step 2: Perform the addition inside the first parenthesis. = 6 + 11 Step 3: Perform the final addition. = 17 *j) [(-12) + (13 + 10)] Step 1: Apply the associative property to regroup the terms. [(-12) + (13 + 10)] = ((-12) + 13) + 10 Step 2: Perform the addition inside the first parenthesis. = 1 + 10 Step 3: Perform the final addition. = 11 Send me the next one 📸

Accepted Answer · 2026-05-07T18:59:24.892Z

Here are the calculations using the associative property: *a) [(-6) + (4 + 2)] Step 1: Apply the associative property to regroup the terms. [(-6) + (4 + 2)] = ((-6) + 4) + 2 Step 2: Perform the addition inside the first parenthesis. = (-2) + 2 Step 3: Perform the final addition. = 0 *b) [3 + 7 + (-5)] Step 1: Apply the associative property to regroup the terms. [3 + 7 + (-5)] = (3 + 7) + (-5) Step 2: Perform the addition inside the parenthesis. = 10 + (-5) Step 3: Perform the final addition. = 5 *c) [(6 + 4) + (-2)] Step 1: Apply the associative property to regroup the terms. [(6 + 4) + (-2)] = 6 + (4 + (-2)) Step 2: Perform the addition inside the parenthesis. = 6 + 2 Step 3: Perform the final addition. = 8 *d) [(-3) + 7 + 5] Step 1: Apply the associative property to regroup the terms. [(-3) + 7 + 5] = (-3) + (7 + 5) Step 2: Perform the addition inside the parenthesis. = (-3) + 12 Step 3: Perform the final addition. = 9 *e) [(-4) + (6 + 2)] Step 1: Apply the associative property to regroup the terms. [(-4) + (6 + 2)] = ((-4) + 6) + 2 Step 2: Perform the addition inside the first parenthesis. = 2 + 2 Step 3: Perform the final addition. = 4 *f) [3 + (-7) + 5] Step 1: Apply the associative property to regroup the terms. [3 + (-7) + 5] = 3 + ((-7) + 5) Step 2: Perform the addition inside the parenthesis. = 3 + (-2) Step 3: Perform the final addition. = 1 *g) [(-9) + (3 + 11)] Step 1: Apply the associative property to regroup the terms. [(-9) + (3 + 11)] = ((-9) + 3) + 11 Step 2: Perform the addition inside the first parenthesis. = (-6) + 11 Step 3: Perform the final addition. = 5 *h) [(12 + 13) + (-10)] Step 1: Apply the associative property to regroup the terms. [(12 + 13) + (-10)] = 12 + (13 + (-10)) Step 2: Perform the addition inside the parenthesis. = 12 + 3 Step 3: Perform the final addition. = 15 *i) [(-3) + (9 + 11)] Step 1: Apply the associative property to regroup the terms. [(-3) + (9 + 11)] = ((-3) + 9) + 11 Step 2: Perform the addition inside the first parenthesis. = 6 + 11 Step 3: Perform the final addition. = 17 *j) [(-12) + (13 + 10)] Step 1: Apply the associative property to regroup the terms. [(-12) + (13 + 10)] = ((-12) + 13) + 10 Step 2: Perform the addition inside the first parenthesis. = 1 + 10 Step 3: Perform the final addition. = 11 Send me the next one 📸

Use the associative property to solve the following equations: a) [(-6) + (4 + 2)], b) [3 + 7 + (-5)], c) [(6 + 4) + (-2)], d) [(-3) + 7 + 5], e) [(-4) + (6 + 2)], f) [3 + (-7) + 5]

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Use the associative property to solve the following equations: a) [(-6) + (4 + 2)], b) [3 + 7 + (-5)], c) [(6 + 4) + (-2)], d) [(-3) + 7 + 5], e) [(-4) + (6 + 2)], f) [3 + (-7) + 5]

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