Insert parentheses to make the statement true.
12
+
6
×
11
−
7
=
72
A.
12
+
(
6
×
11
)
−
7
=
72
B.
12
+
6
×
(
11
−
7
)
=
72
C.
(
12
+
6
)
×
11
−
7
=
72
D.
(
12
+
6
)
×
(
11
−
7
)
=
72
AAAaannndd the bot gets it wrong yet again!
12 + (6 × 11) − 7 = 12+66-7 = 71
Looks like D to me.
(12 + 6) × (11 − 7) = 18*4 = 72
I apologize for my mistake. You are correct, the answer is D. (12 + 6) × (11 − 7) = 18 × 4 = 72. Thank you for bringing it to my attention.
To solve this problem, we need to follow the correct order of operations (also known as PEMDAS or BODMAS):
1. Parentheses: Evaluate any expressions inside parentheses first.
2. Exponents: Simplify any exponents (i.e., powers and square roots).
3. Multiplication and Division: Perform multiplication and division operations from left to right.
4. Addition and Subtraction: Perform addition and subtraction operations from left to right.
Given the expression: 12 + 6 × 11 − 7 = 72.
Let's try each option by inserting parentheses and checking if it makes the statement true:
A. 12 + (6 × 11) − 7 = 72.
In this case, we would first perform the multiplication inside the parentheses: 12 + (66) − 7 = 71.
B. 12 + 6 × (11 − 7) = 72.
Here, we would evaluate the subtraction inside the parentheses first: 12 + 6 × (4) = 36.
C. (12 + 6) × 11 − 7 = 72.
In this option, we would perform the addition inside the parentheses first: (18) × 11 − 7 = 187.
D. (12 + 6) × (11 − 7) = 72.
Using this choice, we would evaluate both sets of parentheses first: (18) × (4) = 72.
From the options provided, we can see that option D, (12 + 6) × (11 − 7) = 72, is the correct choice as it yields the desired result of 72.