Rational Numbers Class- 7th RS Aggarwal Exe-4 B Goyal Brothers ICSE Math Solution . We provide step by step Solutions of lesson-4 Rational Numbers for ICSE Class-7 Foundation RS Aggarwal Mathematics of Goyal Brothers Prakashan . Our Solutions contain all type Questions of Exe-4 B to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-7 Mathematics.
Rational Numbers Class- 7th RS Aggarwal Exe-4 B Goyal Brothers ICSE Math Solution
| Board | ICSE |
| Publications | Goyal brothers Prakashan |
| Subject | Maths |
| Class | 7th |
| Chapter-4 | Rational Numbers |
| Writer | RS Aggrawal |
| Book Name | Foundation |
| Topics | Solution of Exe-4 B |
| Academic Session | 2023 – 2024 |
Exercise – 4 B
Rational Numbers Class- 7th RS Aggarwal Exe-4 B Goyal Brothers ICSE Math Solution
1. Which of the two rational numbers is greater in each of the following pairs?
(i) (3/-7) or (1/7)
Solution: (3/-7) or (1/7)
∴ Both denominator are same.
So, Positive integer is always greater than negative integer.
Hance, (3/-7) < (1/7)
(ii) (11/-18) or (-5/18)
Solution: (11/-18) or (-5/18)
= (-11, -5)/18 [L.C.M]
= (-11/18), (-5/18)
So, (-11/18) < (-5/18)
(iii) (7/10) or (-9/10)
Solution: (7/10) or (-9/10)
∴ Both denominator are same.
So, Positive integer is always greater than negative integer.
Hance, (7/10) > (-9/10)
(iv) 0 or (-3/4)
Solution: 0 or (-3/4)
∴ 0 is always greater than every negative integer.
So, 0 > (-3/4)
(v) (1/12) or 0
Solution: (1/12) or 0
∴ 0 is always smaller than every negative integer.
So, (1/12) > 0
(vi) (18/-19) or 0
Solution: (18/-19) or 0
∴ 0 is always greater than every negative integer.
(vii) (7/8) or (11/16)
Solution: (7/8) or (11/16)
Take L.C.M of 8 & 16
(7/8) , (11/16)
(14 , 11)/16 = (14/16) , (11/16)
(14/16) > (11/16) = So, (7/8) > (11/16)
(viii) (11/-12) or (-10/11)
Solution: (11/-12) or (-10/11)
(-121 , -120)/132 [L.C.M]
(-121/132) , (-120/132)
Hance, (11/-12) < (-10/11)
(ix) (-13/5) or -4
Solution: (-13/5) or -4
(-13/5) or (-4/1)
(-13 , -20)/5 [L.C.M]
(-13/5) > (-20/5)
Hance, (-13/5) > -4
(x) (17/-6) or (-13/4)
Solution: (17/-6) or (-13/4)
(-34 , -39)/12 [L.C.M]
(-34/12) > (-39/12)
Hance, (-17/6) > (-13/4)
(xi) (7/-9) or (-5/8)
Solution: (7/-9) or (-5/8)
(-56 , -45)/72 [L.C.M]
(-56/72) < (-45/72)
Hance, (7/-9) < (-5/8)
(xii) (-3/-8) or (5/9)
Solution: (-3/-8) or (5/9)
(27 , 40)/72 [L.C.M]
(27/72) < (40/72)
Hance, (-3/-8) < (5/9)
2. Fill in the blanks with the correct symbol out of >, = or < :
(i) (-17/4)..<…(-15/4)
(ii) 0 …<… (-1/-2)
(iii) (4/-3) …<… (-8/7)
(iv) (-5/12) … >… (7/-16)
(v) (-7/8) … >… (-8/9)
(vi) (1/-10) …<… (-4/-5)
3. Arrange the following rational numbers in ascending order :
(i) (3/4), (5/8), (11/16), (21/32)
Solution: (5/8), (21/32), (11/16), (3/4)
(ii) (-2/5), (7/-10), (-8/15), (17/-30)
Solution: (7/-10), (17/-30), (-8/15), (-2/5)
(iii) (5/-12), (-2/3), (-7/9), (11/-18)
Solution: (-7/9), (-2/3), (11/-18), (5/-12)
(iv) (-4/7), (13/-28), (9/14), (23/42)
Solution: (-4/7), (13/-28), (23/42), (9/14)
4. Arrange the following rational numbers in descending order :
(i) (11/12), (13/18), (5/6), (7/9)
Solution: (11/12), (5/6), (7/9), (13/18)
(ii) (-11/20), (3/-10), (17/-30), (-7/15)
Solution: (3/-10), (-7/15), (-11/20), (17/-30)
(iii) (9/-24), -1, (2/-3), (-7/-6)
Solution: (-7/-6), (9/-24), (2/-3), -1
(iv) (7/-10), (11/15), (-17/-30), (-2/5)
Solution: (11/15), (-17/-30), (-2/5), (7/-10)
— : end of Rational Numbers Class- 7th RS Aggarwal Exe-4 B Goyal Brothers ICSE Math Solution:–
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