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Let's simplify this expression while maintaining the order of operations.
We'll start by simplifying the expression inside the parentheses and perform the subtraction within them:
Now we'll get the exercise:
In the next step, to make the division easier, we'll break down 340 into two smaller factors that are divisible by 5:
Let's divide each of the factors in parentheses by 5:
We'll solve each of the expressions in parentheses and get the exercise:
\( 20\div(4+1)-3= \)
Because of the order of operations (PEMDAS)! The parentheses tell you to calculate (12-7) first. If you divide by 12 first, you're changing the meaning of the problem completely.
The colon (:) means division, just like the ÷ symbol. So is the same as .
This makes mental math easier! Since both 300 and 40 are divisible by 5, you can divide each part separately: and , then add: 60 + 8 = 68.
Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Many students remember it as "Please Excuse My Dear Aunt Sally."
Double-check your work! First, make sure you calculated (12-7) = 5 correctly. Then verify that by multiplying: 68 × 5 should equal 340.
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