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Complete 7.2 blank the absolute value of negative 47 over 38, using less than, equal, or greater than.
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The first thing to look at is actually this term which is negative 47 over 38.
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Well, at first glance, you think “well, this is gonna be obvious” because one of the numbers 7.2 is a positive and the other number negative 47 over 38 is negative.
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So therefore, the positive must be bigger.
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However, it isn’t just negative 47 over 38.
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We have these two vertical lines as well.
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And what these mean are the modulus or absolute value.
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And the modulus or absolute value means that we’re only gonna be interested in the nonnegative value of the term inside the modulus signs.
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So what we’re really looking at is it’s actually how far would the value within the modulus sign be away from zero.
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So in this case, it’s gonna be positive 47 over 38.
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So what I’ve done is I’ve actually rewritten our expression to reflect this.
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So it’s 7.2 blank 47 over 38.
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And that’s as I’ve said because we’re actually only interested in the nonnegative or positive value of the term that was inside the modulus sign.
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Okay, great, so now, all we need to do is see whether the right-hand term is equal to, greater than, or less than our 7.2.
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Well, if we convert it into a mixed number, we’re gonna get one and nine thirty-eighths.
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And we get that because 38 goes into 47 once with nine left over.
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So therefore, we can see actually that 7.2 is gonna be greater than 47 over 38 because 7.2 is greater than one and nine over 38.
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So therefore, we can say that 7.2 is greater than the modulus or absolute value of negative 47 over 38.