Rational Numbers - Greater, Lesser or Equal

You will see decimal points frequently in prices.

Rational Numbers - Greater, Lesser or Equal

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 12.

8 12 = 8.5

This quiz will test how well you know the value of your decimal rational numbers. For each set of decimal rational numbers below determine if the first rational decimal is greater than (>), less than (<), equal to (=) or cannot be determined (?).
1.
112.009 ___ 115.009
>
<
=
?
112.009 = 112 91000 and 115.009 = 115 91000. 112 91000 is less than 115 91000 so Answer (b) 112.009 < 115.009 is the correct answer
2.
5/8 __ 15/24
>
<
=
?
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
3.
.67 ___ .629
>
<
=
?
.67 = 67100 and .629 = 6291000. 67100 is greater than 6291000 so Answer (a) .67 > .629 is the correct answer
4.
2.34 ___ 2.44
>
<
=
?
2.34 = 2 34100 and 2.44 = 2 44100. 2 34100 is less than 2 44100 so Answer (b) 2.34 < 2.44 is the correct answer
5.
174.011 ___ 174.1
>
<
=
?
174.011 = 174 111000 and 174.1 = 174 110. 174 111000 is less than 174 110 so Answer (b) 174.011 < 174.1 is the correct answer
6.
.8 ___ .2
>
<
=
?
.8 = 8/10 and .2 = 2/10. 8/10 is greater than 2/10 so Answer (a) .8 > .2 is the correct answer
7.
106.1 ___ 106 10100
>
<
=
?
106.1 can be rewritten as 106 110. 106 10100 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 106 110. Answer (c) 106.1 = 106 10100 is correct
8.
16 34 __ 16.75
>
<
=
?
16.75 can be rewritten as 16 75100. 75100 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 34 Answer (c) 16 34 = 16.75 is correct
9.
42.007 __
>
<
=
?
42.007 can be rewritten as 42 71000; 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
10.
10.05 ___ 10.07
>
<
=
?
10.05 = 10 5100 and 10.07 = 10 7100. 10 5100 is less than 10 7100 so Answer (b) 10.05 < 10.07 is the correct answer
Author:  Christine G. Broome

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