The question in my test paper asks the following-
By making use of the correct order of operations, which of the following three equations (a-c) are possible?
a)(35-13)x3 b)35-13x3= c)35-(3x13)
I thought the answer would be a)only, but the answer sheet says all of them. Can you tell me what you think?
all of them, they are equivalent.
<a> is right
What is <10x10> divided by 200 =___
1/2
To determine which equations are possible, we need to apply the correct order of operations. The order of operations, also known as PEMDAS, stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's evaluate each equation using the correct order of operations:
a) (35-13) x 3
First, we calculate the expression inside parentheses: 35 - 13 = 22
Then, we perform the multiplication: 22 x 3 = 66
b) 35 - 13 x 3
Using the order of operations, we perform the multiplication first: 13 x 3 = 39
Finally, we perform the subtraction: 35 - 39 = -4
c) 35 - (3 x 13)
Again, we start by performing the multiplication inside the parentheses: 3 x 13 = 39
Finally, we perform the subtraction: 35 - 39 = -4
From our calculations, we can see that equations (b) and (c) both yield the same result of -4. Therefore, all three equations (a), (b), and (c) are possible solutions.
It seems there might be a mistake on your answer sheet if it only indicates that equation (a) is the correct answer. All three equations are indeed possible when applying the correct order of operations.