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Round 44 seventeenths to the nearest unit.
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For the nearest unit, we’ll want to find the closest whole number to 44 seventeenths.
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One way to do this is to take 44 seventeenths and find a decimal amount.
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We can do that by dividing 44 by 17.
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How many times does 17 go into 44?
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Let’s try two times.
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Two times 17 equals 34.
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And then we subtract 44 minus 34 equals 10.
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But what comes next?
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Next, we add a decimal point and a zero to the 44.
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44 is equal to 44 and zero tenths.
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So we haven’t changed the value of our dividend.
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And this will help us round our quotient into a decimal number.
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Back to the division problem, we bring down the new zero.
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And then we ask how many times does 17 go into 100.
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17 is about 20.
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And 20 times five equals 100.
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So let’s see if 17 will go into 100 five times.
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Multiply five times 17 equals 85.
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100 minus 85 equals 15.
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We add another zero to the dividend.
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Bring that zero down.
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How many times does 17 go into 150?
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We’ve already found that 17 times five equals 85.
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We know that 17 times 10 equals 170.
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We need something that would fall between five and 10.
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What times 17 is close to 150?
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Let’s try eight.
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We multiply eight times 17 equals 136.
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We subtract 150 minus 136 equals 14.
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We could continue to add zero after zero after zero and finding more and more specific decimal number.
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But remember that our goal is to round 44 seventeenths to the nearest unit.
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And 2.58 is enough information to help us do that.
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This decimal number tells us that 44 seventeenths is larger than two but smaller than three.
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It is two and fifty-eight hundredths.
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Halfway between two and three is two and a half.
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Forty-four seventeenths is larger than two and a half.
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Because 44 seventeenths is larger than two and a half, it falls closer to three on the number line than to two.
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The nearest unit to 44 seventeenths is three.