This Math quiz is called 'Rational Numbers - Greater, Lesser or Equal' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.
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A rational number is any whole number, fraction, mixed number or decimal, including their negative counterparts. An example of a rational number is 8.5. It is rational because it can be turned into a simple fraction of 8 1⁄2.
8 1⁄2 = 8.5
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16.75 can be rewritten as 16 75⁄100. 75⁄100 can then be simplified by dividing the numerator and the denominator by 25. So 75 ÷ 25 = 3 and 100 ÷ 25 = 4 giving you 3/4 or 16 3⁄4 Answer (c) 16 3⁄4 = 16.75 is correct
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2.34 = 2 34⁄100 and 2.44 = 2 44⁄100. 2 34⁄100 is less than 2 44⁄100 so Answer (b) 2.34 < 2.44 is the correct answer
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.8 = 8/10 and .2 = 2/10. 8/10 is greater than 2/10 so Answer (a) .8 > .2 is the correct answer
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10.05 = 10 5⁄100 and 10.07 = 10 7⁄100. 10 5⁄100 is less than 10 7⁄100 so Answer (b) 10.05 < 10.07 is the correct answer
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106.1 can be rewritten as 106 1⁄10. 106 10⁄100 can then be simplified by dividing the numerator and the denominator or 10/100 by 10. So 10 ÷ 10 = 1 and 100 ÷ 10 = 10 giving you 1/10 or 106 1⁄10. Answer (c) 106.1 = 106 10⁄100 is correct
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112.009 = 112 9⁄1000 and 115.009 = 115 9⁄1000. 112 9⁄1000 is less than 115 9⁄1000 so Answer (b) 112.009 < 115.009 is the correct answer
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.67 = 67⁄100 and .629 = 629⁄1000. 67⁄100 is greater than 629⁄1000 so Answer (a) .67 > .629 is the correct answer
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42.007 can be rewritten as 42 7⁄1000; however, we do not have a second number to compare it to so we cannot make a determination of the value of this rational decimal number. Answer (d) is the correct answer
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5/8 cannot be simplified so it remains the same. 15/24 can be simplified by dividing the numerator and the denominator by 3. So 15 ÷ 3 = 5 and 24 ÷ 3 = 8 giving you 5/8. Answer (c) 5/8 = 15/24 is correct
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174.011 = 174 11⁄1000 and 174.1 = 174 1⁄10. 174 11⁄1000 is less than 174 1⁄10 so Answer (b) 174.011 < 174.1 is the correct answer
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