Solve. 12 ÷ 4( 9 ÷ 3) x 9
=12/ 4(3) x 9
= 12/12 (9)
= 1
The answer sheet had 81. Is this correct?
12 ÷ 4( 9 ÷ 3) x 9
= 12/ 4(3) x 9
= 3(3) x 9
= 81?
2. 8 + 8 (18 ÷ 3)
= 8 + 8(6)
= 8 + 48
= 56
Isn't this similar to the 1st problem?
12 ÷ 4( 9 ÷ 3) x 9
12 ÷ 4x3 x 9
Now, multiplication and division are done left to right, so that gives
3x3x9
9x9
81
The spacing tries to trick you into grouping the operations in the wrong order.
#2 is quite different, since all the multiplications are done before any of the additions.
Thank you!
6th grade was a good year
In mathematics, it is important to follow the correct order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Let's analyze the first problem:
12 ÷ 4(9 ÷ 3) x 9
Using PEMDAS, we first evaluate the expression inside the parentheses:
9 ÷ 3 = 3
Substituting this back into the original expression:
12 ÷ 4(3) x 9
Now, we need to do the division first:
12 ÷ 4 = 3
Substituting this back into the expression:
3(3) x 9
Next, we perform the multiplication:
3(3) = 9
Substituting back:
9 x 9
Finally, we perform the multiplication:
9 x 9 = 81
So, the correct answer to the first problem is 81, not 1.
Now, let's analyze the second problem:
8 + 8(18 ÷ 3)
Again, using PEMDAS, we first evaluate the expression inside the parentheses:
18 ÷ 3 = 6
Substituting this back into the original expression:
8 + 8(6)
Next, we perform the multiplication:
8(6) = 48
Substituting back:
8 + 48
Finally, we perform the addition:
8 + 48 = 56
So, the correct answer to the second problem is indeed 56.
Although the structure of both problems may look similar, the difference lies in the order of operations. In the first problem, the multiplication should be performed before the division, leading to a different result.