WEBVTT
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Calculate negative 49 divided by negative seven times negative 33 divided by negative 11.
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To answer this question, we canâ€™t simply start at the left-hand side and work our way through the operations.
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Instead, we need to use the order of operations, which tells us that the first operation we will evaluate will be those given in parentheses or brackets.
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Next, exponents or indices will be evaluated, then, multiplication and division calculations, and, finally, addition and subtraction calculations.
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The acronym PEMDAS is often used to refer to the order of operations.
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So taking a look at our calculation, we can see that the parentheses around negative seven and negative 11 are merely helping to separate the negative from the rest of the calculation.
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And indeed, the calculation could be written without these parentheses.
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So looking at the order of operations, the first thing we do is check if there are any calculations in parentheses.
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Here, we have two calculations.
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So we will evaluate these at the same time.
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Negative 49 divided by negative seven will give us an answer of seven since two negatives divided will always give a positive value.
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In the same way, negative 33 divided by negative 11 will give us a positive value of three.
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And our calculation is now seven times three.
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Since there are no other calculations to worry about, then we can just simply evaluate this as 21.
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And this is our final answer for the calculation.