Please can you help me with the following two questions?

A. By making use of the correct order of operations, which of the following 3 equations are possible.
1) (35-13)x3= 2) 35-13x3 3)35-(3x13)

B. Which of the following does not
represent a whole number?
1) 7 x 7 divided by 1
2) 1 divided by 7 x 7
3) 7 divided by 7 x 7 divided by 7
4) 7 divided by 7 divided by 2
Thank you Sam

A. You have not presented any equations to choose among. #1 has a = sign followed by nothing, and # 2 and 3 have no = sign at all.

B. 4 (It equals 1/2, if the 7 divided by 7 operation is performed first.)

Question A should read - By making use of the correct order of operations, which of the following three equations are possible?

1)(35-13)x3 = ...
2)(35-13)x3 = ...
3) 53-(3x13) = ...
This is how the worksheet question is written. The answer given is all of them but I thought it would be only the first equation that could be done without going into negative numbers. I have a test on Monday with similar questions and am confused about what i am doing wrong. I have been working them out using BODMAS. Thanks for trying to help me Sam

As you have written them, 1) and 2) are the same. The third one is not the same operation you wrote eariler. You changed 35 to 53.

All operations are possible. It does not matter if some of them result in a negatoive number.

Whoever is making up your questions is just making the subject more confusing. The three operations should not be called equations at all.

Thanks for that. The 53 was a typing error. Should have still been 35. The question is from an Olympiad exam paper. If I can use negative numbers I think I am on the right track. Cheers Sam

Of course, Sam! Let's break down each question one by one.

A. By making use of the correct order of operations, which of the following 3 equations are possible.

The correct 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 check each equation:

1) (35-13)x3:
First, we simplify the expression inside the parentheses: 35 - 13 = 22.
Then, we multiply by 3: 22 x 3 = 66.

2) 35-13x3:
Here, we need to perform the multiplication before subtraction since multiplication comes before subtraction according to the order of operations. So:
First, multiply 13 by 3: 13 x 3 = 39.
Then, subtract 39 from 35: 35 - 39 = -4.

3) 35-(3x13):
Again, we start by performing the multiplication inside the parentheses: 3 x 13 = 39.
Finally, subtract 39 from 35: 35 - 39 = -4.

From the above calculations, we can see that only the equation (1) (35-13)x3 = 66 is possible according to the correct order of operations.

B. Which of the following does not represent a whole number?

A whole number is a number that does not have any fractional or decimal parts. Let's check each option:

1) 7 x 7 divided by 1:
The result of multiplying 7 by 7 is 49. And when divided by 1, the result remains 49. So 49 is a whole number.

2) 1 divided by 7 x 7:
Here we start with division: 1 divided by 7 equals 0.142857 (a repeating decimal). Then, multiplying by 7 gives 0.999999 (approximating to 1). So 1 is a whole number.

3) 7 divided by 7 x 7 divided by 7:
First, we perform the division: 7 divided by 7 equals 1. Then, multiplying by 7 and dividing by 7 again result in 1. So 1 is a whole number.

4) 7 divided by 7 divided by 2:
Dividing 7 by 7 is 1. And dividing 1 by 2 gives 0.5, which is not a whole number.

Therefore, the option 4) 7 divided by 7 divided by 2 does not represent a whole number.

I hope this helps! Let me know if you have any further questions.