#### • Class 11 Physics Demo

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#### • associate property for addition

Question:Which of the following expressions finishes the equation to demonstrate the associative property of addition? (3+8)+5= a.3(8+5) b.(3-8)-5 c.5+(3+8) d.3+(8+5)

Question:7 + 4x

Question:Not sure I understand this math problem... use an associative property to rewrite the algebraic expression. Once grouping has been changed, simplify the resulting algebraic expression 3+(8+x)

Answers:(3+8)+x =11+x "associate" just means who you hang around with. The 8 was hanging around with the x, but using the associative property of addition he is now hanging around with the 3. That's all it is.

Question:write an algebraic expression equivalent to the given expression using each of the commutative properties. 7x-5, 3x-7, 12+(3+x), -10(5x),

Answers:The commutative properties of addition are: a + b = b + a (a + b) + c = c + (b + a) The commutative property of multiplication is: ab = ba By following those properties, we obtain: 1. 7x - 5 = -5 + 7x 2. 3x - 7 = -7 + 3x 3. 12 + (3 + x) = (x + 3) + 12 4. -10(5x) = -(5x)10 I hope this helps!