Mathematics can be tricky, and solving equations is no exception. One such equation that has puzzled many people is 6-6×6+6. While some might think the answer is either 0 or 42, the real answer is actually -18. So, what’s the secret behind solving this equation? Let’s dive in.
To understand the solution to this equation, we need to understand the order of operations. Otherwise known as PEMDAS (parentheses, exponents, multiplication, division, addition, and subtraction), this rule outlines the correct sequence of actions to be taken when solving an equation.
In the case of 6-6×6+6, we need to perform multiplication before subtraction and addition. Applying PEMDAS, we first multiply 6 and 6 which gives us 36. Then, we subtract 6 from 36 which leaves us with 30. Finally, we add 6 to this result, which leaves us with -18.
But why is this equation so tricky? One reason is that some people incorrectly assume that multiplication should be completed before addition and subtraction. This leads them to solve the equation as follows: 6-36+6 = -24. Another reason could be the lack of parentheses, which could help to provide clarity on the order of operations.
Nevertheless, this equation serves as a reminder of the importance of following PEMDAS when solving equations. By doing so, we can avoid making common mistakes and arrive at the correct solution.
In conclusion, the secret behind solving the equation 6-6×6+6 lies in understanding the order of operations. By following PEMDAS, we can ensure that we apply the correct sequence of actions and arrive at the right answer. Remember to use parentheses when necessary and to approach equations with a critical eye. Happy calculating!
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