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Determine which of the following expressions has a product of negative 24.
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Is it A) three multiplied by negative eight, B) three multiplied by eight, C) four multiplied by six, or D) negative four multiplied by negative six?
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In this particular question, it is worth firstly considering the factor pairs of 24.
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These are numbers that multiply or have a product of 24.
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There are four such pairs, one and 24, two and 12, three and eight, and finally four and six.
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This means that multiplying three and eight and also four and six gives us an answer of 24.
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So we cannot rule out any of the options at this stage.
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As we’re looking for a product of negative 24, we need to consider what happens when we multiply positive and negative numbers.
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Multiplying two positive numbers gives us a positive answer.
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Multiplying a positive and a negative in either order gives us a negative answer.
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And multiplying two negative numbers gives us a positive answer.
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If the signs of the two numbers are the same, our answer will be positive, whereas if they’re different, our answer will be negative.
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Let’s now consider our four options.
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Three multiplied by negative eight is equal to negative 24, as we are multiplying a positive by a negative.
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Options B and C, three multiplied by eight and four multiplied by six, are both equal to 24, as we’re multiplying two positive numbers.
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Option D also gives us an answer of positive 24, as we’re multiplying negative four by negative six.
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This means that the correct answer is option A.
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The expression three multiplied by negative eight has a product of negative 24.