Question

which expression has the same value as (2+7) × 6?
a. 4+5(3+7)
b. (4+7) +11
c. 3 +6(2+4)
d. (5+4) + 14

Explanation:

Step1: Calculate the value of \((2 + 7)\times6\)

First, calculate the sum inside the parentheses: \(2+7 = 9\). Then multiply by 6: \(9\times6=54\).

Step2: Calculate the value of option A: \(4 + 5(3 + 7)\)

First, calculate the sum inside the parentheses: \(3+7 = 10\). Then multiply by 5: \(5\times10 = 50\). Then add 4: \(4+50 = 54\).

Step3: Calculate the value of option B: \((4 + 7)+11\)

First, calculate the sum inside the parentheses: \(4+7 = 11\). Then add 11: \(11+11 = 22\).

Step4: Calculate the value of option C: \(3+6(2 + 4)\)

First, calculate the sum inside the parentheses: \(2+4 = 6\). Then multiply by 6: \(6\times6 = 36\). Then add 3: \(3+36 = 39\).

Step5: Calculate the value of option D: \((5 + 4)+14\)

First, calculate the sum inside the parentheses: \(5+4 = 9\). Then add 14: \(9+14 = 23\).

Answer:

A. \(4 + 5(3 + 7)\)