Question

Which of the following represents associative property?

• A. 25 + 36 = 36 + 25
• B. 30 × (50 + 6) = (30 × 50) + (30 × 6)
• C. None of the above
• D. 34 + (66 + 40) = (34 + 66) + 40

Answer 1

The correct option is D 34 + (66 + 40) = (34 + 66) + 40

According to the associative property, the sum or the product of three or more numbers remains the same regardless of how the numbers are grouped.
So in option B
The left hand side of the expression is
34 + (66 + 40)
= 34 + 106
= 140
Now let's look at the right side of the expression
(34 + 66) + 40
= 100 + 40
= 140
So we just changed how the numbers were grouped but the value of the expression in both the left hand side and the right hand side remained the same. Hence, option B is the correct answer.