Solve the following equation:
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Solve the following equation:
In order to solve the equation we must follow the order of operations beginning with the parentheses:
We should obtain the following expression:
Let's apply the rule:
Therefore:
Resulting in the following expression:
Let's proceed to write the expression as a simple fraction:
Note that we are dividing a positive number by a negative number, so the result must be a negative number:
Next let's expand the 9 in the denominator of the fraction:
Finally let's reduce the 3 in both the numerator and denominator of the fraction:
What will be the sign of the result of the next exercise?
\( (-2)\cdot(-4)= \)
Order of operations (PEMDAS) requires parentheses first! The expression means "negative of the result" from the parentheses, not negative applied to individual terms.
When you have , the rule "negative times negative equals positive" applies. So . Think of it as .
Because we're dividing a positive number by a negative number: . The rule is: positive ÷ negative = negative, so our answer is .
Yes! You can factor out the common factor: . Since we determined the sign is negative, the final answer is .
Always remember the sign rules for division! Use this memory trick: "same signs give positive, different signs give negative." Here we have different signs (+ and -), so the result is negative.
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