Place parentheses in the following equation to make it true.
6 + 6
÷ 6 X 6 – 6 = 13
where do i put the parenteses
To make the equation true, you can place the parentheses as follows:
6 + (6 ÷ 6) X 6 – 6 = 13
This would mean that you first divide 6 by 6, which equals 1. Then, you multiply 1 by 6, giving you 6. Finally, you perform the addition and subtraction to get the final result of 13.
To solve this problem, we need to follow the correct order of operations, which is also known as PEMDAS:
1. Parentheses
2. Exponents (i.e., powers and square roots, etc.)
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
Let's go through the equation step by step and find where to put the parentheses:
6 + 6 ÷ 6 × 6 – 6 = 13
First, we perform the division: 6 ÷ 6 = 1
Now the equation becomes:
6 + 1 × 6 – 6 = 13
Next, we perform the multiplication: 1 × 6 = 6
The equation now becomes:
6 + 6 – 6 = 13
Finally, we perform the addition and subtraction from left to right:
6 + 6 = 12
12 - 6 = 6
Therefore, by placing parentheses around the addition and subtraction operations, the equation becomes:
(6 + 6) ÷ 6 × (6 – 6) = 13
This equation is not true, but following the order of operations, we were able to find the correct placement of parentheses.