Which of the following equations containing grouping symbols is correct?
A. (6 + 9) − 1 + (4 ÷ 1) = 12
B. 9 + (12 ÷ 4) = 1
C. 24 ÷ (8 + 4) + (16 ÷ 2) = 10
D. (3 − 1) − 2 − (8 − 5) = 12 − 9
A.
6 + 9 = 15
4 ÷ 1 = 4
( 6 + 9 ) − 1 + ( 4 ÷ 1 ) = 12
15 - 1 + 4 = 12
14 + 4 = 12
18 = 12 FALSE
B.
12 ÷ 4 = 3
9 + ( 12 ÷ 4 ) = 1
9 + 3 = 1
12 = 1 FALSE
C.
8 + 4 = 12
24 ÷ ( 8 + 4 ) = 24 ÷ 12 = 2
( 16 ÷ 2 ) = 8
24 ÷ ( 8 + 4 ) + ( 16 ÷ 2 ) = 10
2 + 8 = 10 Correct
D.
3 - 1 = 2
8 - 5 = 3
12 - 9 = 3
( 3 − 1 ) − 2 − ( 8 − 5 ) = 12 − 9
2 - 2 - 3 = 3
0 - 3 = 3
- 3 = 3 False
Ansver : C
HEHEHEH
To determine which of the following equations containing grouping symbols is correct, we need to evaluate each equation according to the proper order of operations (also known as PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Let's evaluate each equation step by step:
A. (6 + 9) − 1 + (4 ÷ 1) = 12
First, within the parentheses, simplify:
(6 + 9) = 15
(4 ÷ 1) = 4
Now, substitute the simplified values back into the equation:
15 - 1 + 4 = 18
So, equation A results in 18.
B. 9 + (12 ÷ 4) = 1
First, within the parentheses, simplify:
(12 ÷ 4) = 3
Now, substitute the simplified value back into the equation:
9 + 3 = 12
So, equation B results in 12.
C. 24 ÷ (8 + 4) + (16 ÷ 2) = 10
First, within the parentheses, simplify:
(8 + 4) = 12
(16 ÷ 2) = 8
Now, substitute the simplified values back into the equation:
24 ÷ 12 + 8 = 10
So, equation C results in 10.
D. (3 − 1) − 2 − (8 − 5) = 12 − 9
First, within the parentheses, simplify:
(3 − 1) = 2
(8 − 5) = 3
Now, substitute the simplified values back into the equation:
2 − 2 − 3 = -3
So, equation D results in -3.
From the evaluated equations, we can see that:
A. (6 + 9) − 1 + (4 ÷ 1) = 18
B. 9 + (12 ÷ 4) = 12
C. 24 ÷ (8 + 4) + (16 ÷ 2) = 10
D. (3 − 1) − 2 − (8 − 5) = -3
Therefore, the correct equation is C. 24 ÷ (8 + 4) + (16 ÷ 2) = 10.