Worksheet on Rational Numbers
In worksheet on rational numbers, the questions are based on expressing a rational number with denominator; expressing a rational number in standard form; comparing rational numbers; arranging rational numbers in ascending order and descending order. This exercise sheet on rational numbers has different types of questions that can be practiced by the students to get more ideas to solve all types of questions in rational numbers for eighth grade math students.
1. Express -3/5 as a rational number with denominator.
(i) 20
(ii) -30
(iii) 35
(iv) -40
2. Express -42/98 as a rational number with denominator 7.
3. Express -48/60 as a rational number with denominator 5.
4. Express each of the following rational number standard form:
(i) -12/30
(ii) -14/49
(iii) 24/-64
(iv) -36/-63
5. Which of the two rational numbers is greater in the given pair?
(i) 3/8 or 0
(ii) -2/9 or 0
(iii) -3/4 or 1/4
(iv) -5/7 or -4/7
(v) 2/3 or 3/4
(vi) -1/2 or -1
6. Which of the two rational numbers is greater in the given pair?
(i) -4/3 or -8/7
(ii) 7/-9 or -5/8
(iii) -1/3 or 4/-5
(iv) 9/-13 or 7/-12
(v) 4/-5 or -7/10
(vi) -12/5 or -3
7. Fill in the blanks with the correct symbol out of >, = and <:
(i) -3/7 _______ 6/-13
(ii) 5/-13 _______ -35/91
(iii) -2 _______ -13/5
(iv) -2/3 _______ 5/-8
(v) 0 _______ -3/-5
(vi) -8/9 _______ -9/10
8. Arrange the following rational number ascending order.
(i) 4/-9, -5/12, 7/-18, -2/3
(ii) -3/4, 5/-12, -7/16, 9/-24
(iii) 3/-5, -7/10, -11/15, -13/20
(iv) -4/7, -9/14, 13/-28, -23/42
9. Arrange the following rational number descending order:
(i) -2, -13/6, 8/-3, 1/3
(ii) -3/10, 7/-15, -11/20, 17/-30
(iii) -5/6, -7/12, -13/18, 23/-24
(iv) -10/11, -19/22, -23/33, -39/44
10. Which is the following statement are true or false?
(i) Every whole number is a rational number.
(ii) Every integer is a rational number.
(ii) 0 is a whole number but it is not a rational number.
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