Which expression is equivalent to (8−2 • 35)−2?
Question
Which expression is equivalent to (8−2 • 35)−2?
Solution
Sure, let's solve this step by step:
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First, we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). This is often abbreviated as PEMDAS.
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In the expression (8−2 • 35)−2, we have multiplication and subtraction inside the parentheses. According to PEMDAS, we should do the multiplication first.
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Multiply 2 and 35, which equals 70.
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Substitute 70 back into the expression, we get (8 - 70) - 2.
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Now, subtract 70 from 8, which equals -62.
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Substitute -62 back into the expression, we get -62 - 2.
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Finally, subtract 2 from -62, which equals -64.
So, the expression (8−2 • 35)−2 is equivalent to -64.
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