Rational Numbers Class- 7th RS Aggarwal Exe-4 F 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 F to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-7 Mathematics. How do you divide rational numbers? What is the definition of division in rational numbers of class-7th / 6th?
we mentioned that multiplying by a number’s reciprocal is the same as dividing by the number. That’s how we can divide rational numbers; to divide by a rational number, just multiply by that number’s reciprocal.
Rational Numbers Class- 7th RS Aggarwal Exe-4 F 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 F |
| Academic Session | 2023 – 2024 |
Exercise – 4 F
Rational Numbers Class- 7th RS Aggarwal Exe-4 F Goyal Brothers ICSE Math Solution
1. Find the multiplicative inverse (or reciprocal) of each of the following rational numbers :
(i) (6/25)
Solution: (6/25)
= (25/6)
(ii) -2(3/11)
Solution: -2(3/11)
= (-25/11)
= (-11/25)
(iii) (-8/9)
Solution: (-8/9)
= (-9/8)
(iv) (-23/16)
Solution: (-23/16)
= (-16/23)
(v) 12
Solution: 12
= (1/12)
(vi) (1/10)
Solution: (1/10)
= 10
(vii) -6
Solution: -6
= (-1/6)
(viii) -1
Solution: -1
= (-1/1)
= 1
(ix) (-1/5)
Solution: (-1/5)
= -5
(x) (-7/-9)
Solution: (-7/-9)
= (9/7)
2. Evaluate :
(i) (7/12) ÷ (-4/3)
Solution: (7/12) ÷ (-4/3)
= (7/12) × (3/-4)
= (7/-16)
(ii) (-12/25) ÷ (-5/6)
Solution: (-12/25) ÷ (-5/6)
= (-12/25) × (6/-5)
= (-72/-125)
= (72/125)
(iii) (-27/32) ÷ (-9/16)
Solution: (-27/32) ÷ (-9/16)
= (-27/32) × (16/-9)
= (-3/-2)
= (3/2)
(iv) -2(4/7) ÷ (6/35)
Solution: -2(4/7) ÷ (6/35)
= -2(4/7) × (35/6)
= (-18/7) × (35/6)
= -3 × 5
= -15
(v) 26 ÷ (-1/13)
Solution: 26 ÷ (-1/13)
= (26/1) ÷ (13/-1)
= -338
(vi) (1/25) ÷ (-5)
Solution: (1/25) ÷ (-5)
= (1/25) × (1/-5)
= (-1/125)
3. The product of two rational numbers is (2/5). If one of them is (-8/25), find the other.
Solution: Product of two rational no. (2/5)
One no. = (-8/25)
Let the other no. be x.
According to questions –
(-8/25) × x = (2/5)
x = (2/5) × (-25/8)
x = (-5/4)
Other no. is (-5/4).
4. The product of two rational numbers is (-2/3). If one of them is (16/39), find the other.
Solution: Product of two rational no. (-2/3)
One no. = (16/39)
Let the other no. be x.
According to questions –
(16/39) × x = (-2/3)
x = (-2/3) × (39/16)
x = (-13/8)
Other no. is (-13/8).
5. By what rational number should (-9/35) be multiplied to get (3/5)?
[Hint. (-9/35) × Other number = (3/5) ⇒ Other number = (3/5) ÷ (-9/35)]
Solution: Product of two rational no. (3/5)
One no. = (-9/35)
Let the other no. be x.
According to questions –
(-9/35) × x = (3/5)
x = (3/5) × (-35/9)
x = (-7/3)
Other no. is (-7/3).
6. By what rational number should (25/8) be multiplied to get (-20/7)?
Solution: Product of two rational no. (-20/7)
One no. = (25/8)
Let the other no. be x.
According to questions –
(25/8) × x = (-20/7)
x = (-20/7) × (8/25)
x = (-32/35)
Other no. is (-32/35).
7. The cost of 17 pencils is ₹59(1/2). Find the cost of each pencil.
Solution: Cost of 17 pencil = ₹59(1/2) = (119/2)
So, cost of 1 pencil = (119/2) ÷ 17
= (119/2) × (1/17)
= (7/2)
= 3(1/2)
Hance, cost of 1 pencil = ₹3(1/2).
8. The cost of 20 meters of ribbon is ₹335. Find the cost of each meter of it.
Solution: Cost of 20 meters of ribbon = ₹335
So, cost of 1 meter = ₹335 ÷ 20
= 335 × (1/20)
= (67/4)
Cost of 1 meter ribbon = ₹(67/4)
9. How many pieces, each of length 2(3/4) m, can be cut from a rope of length 66 m?
[Hint. Number of pieces = 66 ÷ (11/4)]
Solution: Total length = 66
Length of each pieces = 2(3/4) = (11/4) m
So, 66 ÷ (11/4)
= 66 × (4/11)
= 24 pieces
10. Fill in the blanks :
(i) (….25….) ÷ (-5/6) = -30
(ii) (….6….) ÷ (-8) = (-3/4)
(iii) (-15/14) ÷ (….(-3/7)….) = (5/2)
(iv) (-16) ÷ (….(-8/3)….) = 6
— : end of Rational Numbers Class- 7th RS Aggarwal Exe-4 F Goyal Brothers ICSE Math Solution:–
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