Shelly is asked to put parentheses in the equation
14
−
8
−
5
+
6
×
2
=
23
so that it is true.
Choose the correct expression.
A.
14
−
8
−
(
5
+
6
)
×
2
=
23
B.
14
−
(
8
−
5
)
+
6
×
2
=
23
C.
(
14
−
8
)
−
(
5
+
6
)
×
2
=
23
D.
14
−
(
8
−
5
+
6
)
×
2
=
23
B. 14 - (8-5) + 6 × 2 = 23
To choose the correct expression, we need to follow the order of operations (PEMDAS/BODMAS) which states that we should perform any calculations inside parentheses first, then exponents, followed by multiplication and division (from left to right), and finally addition and subtraction (from left to right).
In the given equation: 14 - 8 - 5 + 6 × 2 = 23, we can see that there are multiple operations involved: subtraction, addition, and multiplication.
Let's consider each option:
A. 14 - 8 - (5 + 6) × 2 = 23
In this option, we perform the addition inside the parentheses first, then the multiplication, and finally the subtraction. It follows the order of operations.
B. 14 - (8 - 5) + 6 × 2 = 23
In this option, we perform the subtraction inside the parentheses first, then the multiplication, and finally the addition. It follows the order of operations.
C. (14 - 8) - (5 + 6) × 2 = 23
In this option, we perform the subtraction inside the first set of parentheses first, then the addition inside the second set of parentheses, and finally the multiplication. It follows the order of operations.
D. 14 - (8 - 5 + 6) × 2 = 23
In this option, we perform the addition inside the parentheses first, then the subtraction, and finally the multiplication. It does not follow the order of operations.
Based on the above analysis, the correct expression is:
Option A: 14 - 8 - (5 + 6) × 2 = 23.