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Which of the following is true?
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A) Negative absolute value negative sixty-one is less than negative thirty-five.
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B) Negative absolute value, negative sixty-one is greater than negative thirty-five.
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Or C) negative absolute value, negative sixty-one is equal to negative thirty-five.
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Before we make our decision, we first need to understand those absolute value signs.
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The absolute value sign makes numbers positive.
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Let’s take a look.
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We need to decide whether we are going to replace our question mark with a less than sign, a greater than sign, or an equal to sign.
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Let’s first simplify the left-hand side.
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As we said before, the absolute value makes numbers positive; so that negative sixty-one is positive sixty-one.
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We also need to bring down our negative sign as well as negative thirty-five.
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So is negative sixty-one less than negative thirty-five?
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Is negative sixty-one greater than negative thirty-five?
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Or is negative sixty-one equal to negative thirty-five?
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Well in order to be equal, they must be equal in value.
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And negative sixty-one and negative thirty-five are not equal in value.
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Therefore we can eliminate option C.
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Let’s look at a number line to help us come to a conclusion.
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On a number line, numbers to the left are smaller and numbers to the right are larger.
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Therefore negative sixty-one must be smaller than negative thirty-five.
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So the sign that we would use instead of saying smaller than would be less than.
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So we would say negative sixty-one is less than negative thirty-five.
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Therefore A is true.