What is #6-:2(1+2)#, using order of operations?

Answer 1

Ambiguous

Order of operations is PE (MD) (AS). So we start with parenthesis.

#6 div 2(1+2) = 6 div 2 cdot (3) #
Now this is ambiguous. Multiplication and division now have to happen at the same time, so we don't know if this means either of these: #6/(2 cdot 3) = 6/6 = 1#

or

#6/2 cdot 3 = 3 cdot 3 = 9 #.
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Answer 2

#6-: 2(1+2) = 9#

Regardless of the way in which the order of operations is written, it always follows the same structure; Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. Follow the order, we see that the parentheses (brackets), must be completed first. #1+2 = 3# Our new expression is #6-:2*3#. The only remaining operators are multiplication and division so we proceed in the order in which the occur. The division is the first operator we come across reading from left to right. Completing this, we are left with the following: #3*3# The expression can now be solved as #3*3 = 9#.
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Answer 3

To solve the expression 6 ÷ 2(1 + 2) using the order of operations (PEMDAS/BODMAS), we follow these steps:

  1. First, we perform the operations inside the parentheses: 1 + 2 = 3.
  2. Next, we perform the multiplication: 2 * 3 = 6.
  3. Then, we perform the division: 6 ÷ 6 = 1.

So, the expression simplifies to 1.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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