Ask Question
Yesterday, 16:01

What property is this problem 3a + (2b - c) = (3a + 2b) - c

+4
Answers (1)
  1. Yesterday, 18:51
    0
    This problem follow the associative property.

    Step-by-step explanation:

    Let's recall that subtraction and division does not follow any property. However in this problem, there is also an addition. And that's the reason why we can prove and demonstrate the associative property of the addition and subtraction mixed in this problem, this way:

    Let's prove for a = 1, b = 2, c = 3

    3 * 1 + (2 * 2 - 3) = (3 * 1 + 2 * 2) - 3

    3 + (4 - 3) = (3 + 4) - 3

    3 + 1 = 7 - 3

    4 = 4

    Let's prove for a = 3, b = 4, c = 20

    3 * 3 + (2 * 4 - 20) = (3 * 3 + 2 * 4) - 20

    9 + (8 - 20) = (9 + 8) - 20

    9 - 12 = 17 - 20

    - 3 = - 3

    Let's prove for a = 0, b = - 5, c = 1

    3 * 0 + (2 * -5 - 1) = (3 * 0 + 2 * - 5) - 1

    0 + (-10 - 1) = (0 + - 10) - 1

    0 - 11 = - 10 - 1

    -11 = - 11
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “What property is this problem 3a + (2b - c) = (3a + 2b) - c ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers