Raju

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 3 Squares and Square Roots Ex 3.1

Question 1.
Which of the following natural numbers are perfect squares? Give reasons in support of your answer.
(i) 729
(ii) 5488
(iii) 1024
(iv) 243
Solution:

Question 2.
Show that each of the following numbers is a perfect square. Also, find the number whose square is the given number.
(i) 1296
(ii) 1764
(iii) 3025
(iv) 3969
Solution:

Question 3.
Find the smallest natural number by which 1008 should be multiplied to make it a perfect square.
Solution:

Question 4.
Find the smallest natural number by which 5808 should be divided to make it a perfect square. Also, find the number whose square is the resulting number.
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 2 Exponents and Powers Check Your Progress

Question 1.
Evaluate:

Solution:

Question 2.
Simplify:

Solution:

Question 3.
Find the multiplicative inverse of \(\left(\frac{125}{27}\right)^{\frac{-2}{3}}\)
Solution:

Question 4.
Simplify and write in exponential form:

Solution:

Question 5.
Simplify: \(\frac{5^{n+2}-6+5^{n+1}}{13 \times 5^{n}-2 \times 5^{n+1}}\)
Solution:

Question 6.
Prove that (a + b)^-1 (a^-1 + b^-1) = (ab)^-1.
Solution:

Question 7.
Find the value of x for which

Solution:

Question 8.
If \(\frac{2^{-n} \times 8^{2 n+1} \times 16^{2 n}}{4^{3 n}}=\frac{1}{16}\), find the value of n.
Solution:

Question 9.
By what number should \(\left[\left(\frac{-5}{2}\right)^{3}\right]^{-3}\) be multiplied to get \(\left(\frac{-2}{5}\right)^{5}\)?
Solution:

Question 10.
By what number should \(\left(\frac{-3}{2}\right)^{-4}\) be divided to get \(\left(\frac{-2}{3}\right)^{3}\)?
Solution:

Question 11.
Express the following numbers in standard form:
(i) 0.0000000003904
(ii) 12730000000000
Solution:

Question 12.
Express the following numbers in the usual form:
(i) 5.73 × 10^-11
(ii) 3.895 × 10¹⁵.
Solution:

Question 13.
If \(\left(\frac{9}{4}\right)^{-4} \times\left(\frac{2}{3}\right)^{3}=\left(\frac{p}{q}\right)^{11}\), then find the value of \(\left(\frac{p}{q}\right)^{-2}\).
Solution:

Question 14.
Mass of the Earth is 5.97 × 10²⁴ kg and mass of the Moon is 7.35 × 10²² kg. What is the difference of their masses?
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 2 Exponents and Powers Objective Type Questions

Mental Maths

Question 1.
Fill in the blanks:
(i) Multiplicative inverse of \(\left( \frac { -4 }{ 5 } \right) ^{ 2 }\) = ……..
(ii) The standard form of 0.000182 = ………
(iii) The standard form of ……….. is 0.00000003572.
(iv) Expanded form of 273.92 = ………..
(v) If (-7)^x × \(\left( \frac { 1 }{ -7 } \right) ^{ -3 }\) = 7⁸, then value of x is …….
(vi) If 3ⁿ = 729, then n = ……
(vii) The value of (7⁰ + 5⁰) is ……..
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) The value of (-3)^-2 is \(\frac { 1 }{ -9 }\).
(ii) For negative integers m and n, a^m × aⁿ = a^m+n (a ≠ 0).
(iii) 3⁰ × 4⁰ = 12⁰.
(iv) The value of 3⁷ – 2⁷ is 1⁷.
(v) The standard form of 0.0034 is 3.4 × 10³.
(vi) Multiplicative inverse of (-2)⁵ is \(\frac { 1 }{ -32 }\).
Solution:

Multiple Choice Questions

Choose the correct answer from the given four options (3 to 12):
Question 3.
\(\left( \frac { 1 }{ 2 } \right) ^{ -5 }\) is equal to
(a) 32
(b) \(\frac { 1 }{ 32 }\)
(c) -32
(d) \(\frac { -1 }{ 32 }\)
Solution:

Question 4.

Solution:

Question 5.
If 2⁴ × 4³ = 4^x, then the value of x is
(a) 5
(b) 7
(c) 4
(d) -5
Solution:

Question 6.

Solution:

Question 7.

Solution:

Question 8.
Standard form of 0.000000789 is
(a) 78.9 × 10^-8
(b) 789 × 10^-9
(c) 7.89 × 10^-7
(d) None
Solution:

Question 9.
The usual form of 3.67 × 10⁵ is
(a) 3670000
(b) 367000
(c) 36700
(d) 3670
Solution:

Question 10.
Multiplicative inverse of \(\left( \frac { -2 }{ 3 } \right) ^{ 4 }\) is
(a) \(\frac { 16 }{ 81 }\)
(b) \(\frac { -16 }{ 81 }\)
(c) \(\frac { 81 }{ 16 }\)
(d) \(\frac { -81 }{ 16 }\)
Solution:

Question 11.

Solution:

Question 12.

Solution:

Value Based Questions

Question 1.
Anaemia causes due to deficiency of Red Blood cells. The size of a red blood cell is 0.000000007 mm. Express it in standard form. Rahul is suffering from anemia, his doctor adviced him to take healthy food regularly and avoid junk food.
Why should we eat healthy food? What values are being promoted?
Solution:

Higher Order Thinking Skills (HOTS)

Question 1.
Find the multiplicative inverse of (5⁰ + 3⁰) (5⁰ – 3⁰).
Solution:

Question 2.

Solution:

Question 3.

Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 2 Exponents and Powers Ex 2.2

Question 1.
Express the following numbers in standard form:
(i) 0.0000000000085
(ii) 0.000000000000942
(iii) 6020000000000000
(iv) 0.00000000837
Solution:

Question 2.
Express the following numbers in the usual form:
(i) 3.02 × 10^-6
(ii) 1-007 × 10¹¹
(iii) 5.375 × 10¹⁴
(iv) 7.579 × 10^-14
Solution:

Question 3.
Express the number appearing in the following statements in standard form:
(i) The mass of a proton is 0.000000000000000000000001673 gram.
(ii) The thickness of a piece of paper is 0.0016 cm.
(iii) The diameter of a wire on a computer chip is 0.000003 m.
(iv) A helium atom has a diameter of \(\frac { 22 }{ 100000000000 }\) m
(v) Mass of a molecule of hydrogen gas is about 0.00000000000000000000334 tons.
(vi) The human body has 1 trillion cells which vary in shapes and sizes.
(vii) The distance from the Earth of the Sun is 149,600,000,000 m.
(viii) The speed of light is 300,000,000 m/sec.
(ix) Mass of the Earth is 5,970,000,000,000,000,000,000,000 kg.
(x) Express 3 years in seconds.
(xi) Express 7 hectares in cm².
(xii) A sugar factory has annual sales of 3 billion 720 million kilograms of sugar.
Solution:

Question 4.
Compare the following:
(i) Size of a plant cell to the thickness of a piece of paper.
(ii) Size of a plant cell to the diameter of a wire on a computer chip.
(iii) The thickness of a piece of paper to the diameter of a wire on a computer chip.
Given size of plant cell = 0.00001275 m
Thickness of a piece of paper = 0.0016 cm
Diameter of a wire on a computer chip = 0.000003 m
Solution:

Question 5.
The number of red blood cells per cubic millimetre of blood is approximately 5.5 million. If the average body contains 5 litres of blood, what is the total number of red cell in the body? (1 litre = 1,00,000 mm³)
Solution:

Question 6.
Mass of Mars is 6.42 × 10²⁹ kg and the mass of the sun is 1.99 × 10³⁰ kg. What is the total mass?
Solution:

Question 7.
A particular star is at a distance of about 8.1 × 10¹³ km from the Earth. Assuming that the light travels at 3 × 10⁸ m/sec, find how long does light take from that star to reach the Earth.
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 2 Exponents and Powers Ex 2.1

Question 1.
Evaluate:

Solution:

Question 2.
Simplify:

Solution:

Question 3.
Find the multiplicative inverse of the following:

Solution:

Question 4.
(i) Express 16^-2 as a power with base 2.
(ii) Express 125^-4 as a power with base 5.
Solution:

Question 5.
Write the following numbers in expanded form using exponents:
(i) 2789.453
(ii) 3007.805
Solution:

Question 6.
Simplify and write in exponential form with positive exponent:

Solution:

Question 7.
Simplify and write the following in exponential form:

Solution:

Question 8.
Simplify and write in exponential form with negative exponent:

Solution:

Question 9.
Simplify:

Solution:

Question 10.
By what number should \(\left( \frac { 3 }{ -2 } \right) ^{ -3 }\) be divided to get \(\left( \frac { 2 }{ 3 } \right) ^{ 2 }\) ?
Solution:

Question 11.
Find the value of m for which 9^m ÷ 3^-2 = 9⁴.
Solution:

Question 12.

Solution:

Question 13.

Solution:

Question 14.

Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Check Your Progress

Question 1.
Evaluate the following:

Solution:

Question 2.
What number should be added to \(\frac { -4 }{ 11 }\) to get \(\frac { -3 }{ 8 }\)?
Solution:

Question 3.
What rational number should be subtracted from the sum of \(\frac { 3 }{ 14 }\) and \(\frac { -4 }{ 7 }\) to get \(\frac { 13 }{ 21 }\)?
Solution:

Question 4.
If the product of two rational numbers is \(\frac { 25 }{ 42 }\) and one of them -2\(\frac { 6 }{ 7 }\), find the other.
Solution:

Question 5.
Divide the sum of \(\frac { 4 }{ 13 }\) and \(\frac { -3 }{ 2 }\) by their product.
Solution:

Question 6.
Using the appropriate properties of operations of rational numbers, evaluate the following:

Solution:

Question 7.
Find the additive inverse of the following:
(i) -13\(\frac { 7 }{ 8 }\)
(ii) 4\(\frac { 3 }{ 6 }\)
Solution:

Question 8.
Find the multiplicative inverse of the following:
(i) \(\frac { -23 }{ 46 }\)
(ii) 0
Solution:

Question 9.
Represent the following rational numbers on the number line:
(i) \(\frac { -3 }{ 11 }\)
(ii) \(\frac { 5 }{ 17 }\)
Solution:

Question 10.
Insert five rational numbers between \(\frac { -3 }{ 7 }\) and \(\frac { 2 }{ 5 }\)
Solution:

Question 11.
If p = \(\frac { -4 }{ 9 }\) , q = \(\frac { 2 }{ 3 }\) and r = \(\frac { -8 }{ 11 }\), then verily the foflowing:
(i) p + (q + r) = (p + q) + r
(ii) p × q = q × p
(iii) p × (q + r) = p × q + p × r
(iv) (p + q) ÷ r = p ÷ r + q ÷ r.
Solution:

Question 12.
A wedding cake weighed 8 kg. If \(\frac { 2 }{ 5 }\) th of its weight was flour, \(\frac { 5 }{ 16 }\) th was sugar, \(\frac { 1 }{ 4 }\) thwas cream and the rest were nuts, find the weight of nuts.
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Objective Type Questions

Mental Maths

Question 1.
Fill in the blanks:
(i) The product of two rational numbers is a ……….
(ii) Subtraction of rational numbers is …….. commutative.
(iii) The rational number \(\frac { -7 }{ 4 }\) lies ……. of zero on the number line.
(iv) Division of rational numbers is ……… associative.
(v) \(\frac { p }{ q }\) ÷ 0 is ……..
(vi) Negative of a rational number is called its ………
(vii) Multiplicative identity of rational numbers is ……….
(viii) Multiplication of rational numbers is ……. over addition.
(ix) Division of a rational number by a non-zero rational number is a ………..
(x) The rational number which is additive inverse of itself is …………
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) \(\frac { -5 }{ 9 }\) is the additive inverse of \(\frac { 5 }{ 9 }\).
(ii) Every integer is a rational number.
(iii) Zero has its multiplicative inverse.
(iv) Every rational number is an integer.
(v) Division of two rational numbers is alwasy closed.
(vi) Non-terminating, non-recurring decimal numbers are rational numbers.
(vii) 0 is the multiplicative identity of rational numbers.
(viii) Non-terminating recurring decimal numbers are not rational numbers.
(ix) Subtraction of two rational numbers is not associative.
(x) Reciprocal of 1 is 1.
(xi) The multiplicative inverse is also called a reciprocal.
(xii) Between two different rational numbers, there are infinitely many number of rational numbers.
Solution:

Multiple Choice Questions

Choose the correct answer from the given four options (3 to 18):
Question 3.
Additive inverse of \(\frac { -2 }{ -5 }\) is
(a) \(\frac { 2 }{ 5 }\)
(b) \(\frac { 5 }{ 2 }\)
(c) \(\frac { 2 }{ -5 }\)
(d) \(\frac { 5 }{ -2 }\)
Solution:

Question 4.
Multiplicative inverse of \(\frac { -3 }{ 7 }\) is
(a) \(\frac { 7 }{ 3 }\)
(b) \(\frac { -7 }{ 3 }\)
(c) \(\frac { 3 }{ 7 }\)
(d) None of these
Solution:

Question 5.
Sum of a rational number and its additive inverse is
(a) 1
(b) 0
(c) -1
(d) None of these
Solution:

Question 6.
Rational numbers are not closed under
(a) addition
(b) subtraction
(c) multiplication
(d) division
Solution:

Question 7.
0 ÷ \(\frac { 2 }{ 3 }\) is equal to
(a) \(\frac { 2 }{ 3 }\)
(b) \(\frac { 3 }{ 2 }\)
(c) 0
(d) not defined
Solution:

Question 8.
\(\frac { 2 }{ 3 }\) ÷ 0 is equal to
(a) \(\frac { 2 }{ 3 }\)
(b) \(\frac { 3 }{ 2 }\)
(c) 0
(d) not defined
Solution:

Question 9.
\(\frac { p }{ q } +\left( \frac { r }{ s } +\frac { t }{ u } \right) =\left( \frac { p }{ q } +\frac { r }{ s } \right) +\frac { t }{ u }\) is called
(a) commutative property
(b) associative property
(c) distributive property
(d) None of these
Solution:

Question 10.
Multiplication of a non-zero rational number and its reciprocal is
(a) 0
(b) 1
(c) -1
(d) None of these
Solution:

Question 11.
Product of rational number \(\frac { -2 }{ 5 }\) and its additive inverse is
(a) 0
(b) 1
(c) \(\frac { -4 }{ 25 }\)
(d) \(\frac { -5 }{ 2 }\)
Solution:

Question 12.
Sum of rational number \(\frac { 4 }{ 7 }\) and its reciprocal is
(a) \(\frac { 28 }{ 65 }\)
(b) \(\frac { 65 }{ 28 }\)
(c) \(\frac { -28 }{ 65 }\)
(d) \(\frac { -65 }{ 28 }\)
Solution:

Question 13.
Sum of two rational numbers is 0, if one ofthem is \(\frac { -4 }{ 5 }\), then other is
(a) \(\frac { 5 }{ 4 }\)
(b) \(\frac { 4}{ 5 }\)
(c) \(\frac { -5 }{ 4 }\)
(d) \(\frac { -4 }{ 5 }\)
Solution:

Question 14.
Product of two rational numbers is 1, if one of them is \(\frac { 10 }{ 3 }\), then other is
(a) \(\frac { 3 }{ 10 }\)
(b) \(\frac { -3}{ 10 }\)
(c) \(\frac { 10 }{ 3 }\)
(d) None of these
Solution:

Question 15.
Rational number represented by the point P on the number line is

(a) \(\frac { -5 }{ 7 }\)
(b) \(\frac { -3}{ 7 }\)
(c) \(\frac { -5 }{ 8 }\)
(d) \(\frac { -4 }{ 8 }\)
Solution:

Question 16.
What should be subtracted from \(\frac { -5 }{ 3 }\) to get \(\frac { -2 }{ 7 }\)?
(a) \(\frac { 29 }{ 21 }\)
(b) \(\frac { -21}{ 29 }\)
(c) \(\frac { -29 }{ 21 }\)
(d) \(\frac { 21 }{ 29 }\)
Solution:

Question 17.
Reciprocal of a negative number is
(a) positive
(b) negative
(c) can not say
(d) does not exist
Solution:

Question 18.
Which of the following statement is true?

Solution:

Value Based Questions

Question 1.
Ram donated \(\frac { 1 }{ 10 }\) of his salary to an orphanage, \(\frac { 1 }{ 3 }\) of his salary spent on food, \(\frac { 1 }{ 4 }\) of salary on rent and electricity and \(\frac { 1 }{ 20 }\) of his salary on telephone. This month he donated ₹ 5000 in Prime Minister relief fund for Uttarakhand victims. He was left with ₹ 3000 with him, find his monthly salary. Should we donate the money for needy people? What values are being promoted?
Solution:

Question 2.
In an Examination \(\frac { 1 }{ 3 }\) of the total students used unfair means and out of which \(\frac { 1 }{ 4 }\) caught red handed while cheating. If 5 students caught red handed then find the total number of students appeared in exam.
Why should we not use unfair means in an examination?
What values are being promoted?
Solution:

Higher Order Thinking Skills (HOTS)

Question 1.
Area ol a square is 4 sq. in more than \(\frac { 2 }{ 3 }\) of the area of a rectangle. If the area of square is 64 sq. m, then find the dimensions of the rectangle, given that breadth is \(\frac { 2 }{ 5 }\) of length.
Solution:

Question 2.
Rahul can do \(\frac { 2 }{ 7 }\) of a certain work in 6 days while Suresh can do \(\frac { 3 }{ 5 }\) of the same work in 9 days. They started work together but after 7 days Rahul left the work. Find in how many days Suresh can complete the remaining work?
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.6

Question 1.
In a bag, there are 20 kg of fruits. If 7\(\frac { 1 }{ 6 }\) kg of these fruits be oranges and 8\(\frac { 2 }{ 3 }\) kg of thee are apples and rest are grapes. Find the mass of the grapes in the bag.
Solution:

Question 2.
The population of a city is 6,63,432. If \(\frac { 1 }{ 2 }\) of the population are adult males and \(\frac { 1 }{ 3 }\) of the population are adult females, then find the number of children in the city.
Solution:

Question 3.
In an election of housing society, there are 30 voters. Each of them gives the vote. Three persons X, Y and Z are standing for the post of Secretary. If Mr X got \(\frac { 2 }{ 5 }\) of the total votes and Mr Z got \(\frac { 1 }{ 3 }\) of the total votes, then find the number of votes which Mr Y got.
Solution:

Question 4.
A person earns ₹ 100 in a day. If he spent ₹ 14\(\frac { 2 }{ 7 }\) on food and ₹ 30\(\frac { 2 }{ 3 }\) on petrol. How much did he save on that day?
Solution:

Question 5.
In an examination, 400 students appeared. If \(\frac { 2 }{ 3 }\) of the boys and all 130 girls passed in the examination, then find how many boys failed in an examination?
Solution:

Question 6.
A car is moving at the speed of 40\(\frac { 2 }{ 3 }\) km/h. Find how much distance will it cover in \(\frac { 9 }{ 10 }\) hrs?
Solution:

Question 7.
Find the area of a square lawn whose one side is 5\(\frac { 7 }{ 9 }\) m long.
Solution:

Question 8.
Perimeter of a rectangle is 15\(\frac { 3 }{ 7 }\) m. If the length is 4\(\frac { 2 }{ 7 }\) m, find its breadth.
Solution:

Question 9.
Rahul had a rope of 325\(\frac { 4 }{ 5 }\) m long. He cut off a 150\(\frac { 3 }{ 5 }\) m long piece, then he divided the rest of the rope into 3 parts of equal length. Find the length of each part.
Solution:

Question 10.
If 3\(\frac { 1 }{ 2 }\) litre of petrol costs ₹ 270\(\frac { 3 }{ 8 }\), then find the cost of 4 litre of petrol.
Solution:

Question 11.
Ramesh earns ₹ 40,000 per month. He spends \(\frac { 3 }{ 8 }\) of the income on food, \(\frac { 1 }{ 5 }\) of the remaining on LIC premium and then \(\frac { 1 }{ 2 }\) of the remaining on other expenses. Find how much money is left with him?
Solution:

Question 12.
A, B, C, D and E went to a restaurant for dinner. A paid \(\frac { 1 }{ 2 }\) of the bill, B paid \(\frac { 1 }{ 5 }\) of the bill and rest of the bill was shared equally by C, D and E. What fraction of the bill was paid by each?
Solution:

Question 13.
\(\frac { 2 }{ 5 }\) of total number of students of a school come by car while \(\frac { 1 }{ 4 }\) of students come by bus to school. All the other students walk to school of which \(\frac { 1 }{ 3 }\) walk on their own and the rest are escorted by their parents. If 224 students come to school walking on their own, how many students study in the school?
Solution:

Question 14.
A mother and her two sons got a room constructed for ₹ 60,000. The elder son contributes \(\frac { 3 }{ 8 }\) of his mother’s contribution while the younger son contributes \(\frac { 1 }{ 2 }\) of his mother’s share. How much do the three contribute individually?
Solution:

Question 15.
In a class of 56 students, the number of boys is \(\frac { 2 }{ 5 }\) th of the number of girls. Find the number of boys and girls.
Solution:

Question 16.
A man donated \(\frac { 1 }{ 10 }\) of his money to a school, \(\frac { 1 }{ 6 }\) th of the remaining to a church and the remaining money he distributed equally among his three children. If each child gets ₹ 50000, how much money did the man originally have?
Solution:

Question 17.
If \(\frac { 1 }{ 4 }\) of a number is added to \(\frac { 1 }{ 3 }\) of that number, the result is 15 greater than half of that number. Find the number.
Solution:

Question 18.
A student was asked to multiply a given number by \(\frac { 4 }{ 5 }\). By mistake, he divided the given number by \(\frac { 4 }{ 5 }\). His answer was 36 more than the correct answer. What was the given number?
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.5

Question 1.
Represent the following rational numbers on the number line:
(i) \(\frac { 11 }{ 4 }\)
(ii) 4\(\frac { 3 }{ 5 }\)
(iii) \(\frac { -9 }{ 7 }\)
(iv) \(\frac { -2 }{ -5 }\)
Solution:

Question 2.
Write the rational numbers for each point labelled with a letter:

Solution:

Question 3.
Find twenty rational numbers between \(\frac { -3 }{ 7 }\) and \(\frac { 2 }{ 3 }\)
Solution:

Question 4.
Find six rational numbers between \(\frac { -1 }{ 2 }\) and \(\frac { 5 }{ 4 }\)
Solution:

Question 5.
Find three rational numbers between -2 and -1.
Solution:

Question 6.
Write ten rational numbers which are greater than 0.
Solution:

Question 7.
Write five rational numbers which are smaller than -4.
Solution:

Question 8.
Identify the rational number which is different from the other three. Explain your reasoning

Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 1 Rational Numbers Ex 1.4

Question 1.
Find the value of the following:

Solution:

Question 2.
State whether the following statements are true or false:
(i) \(\frac { -9 }{ 13 }\) ÷ \(\frac { 2 }{ 7 }\) is a rational number.

Solution:

Question 3.
The product of two rational numbers is \(\frac { -11 }{ 12 }\). If one of them is 2\(\frac { 4 }{ 9 }\), find the other.
Solution:

Question 4.
By what rational number should \(\frac { -7 }{ 12 }\) be multiplied to get the product as \(\frac { 5 }{ 14 }\) ?
Solution:

Question 5.
By what rational number should -3 is divided to get \(\frac { -9 }{ 13 }\)?
Solution:

Question 6.
Divide the sum of \(\frac { -13 }{ 8 }\) and \(\frac { 5 }{ 12 }\) by their difference.
Solution:

Question 7.
Divide the sum of \(\frac { 8 }{ 3 }\) and \(\frac { 4 }{ 7 }\) by the product of \(\frac { -3 }{ 7 }\) and \(\frac { 14 }{ 9 }\).
Solution:

Question 8.
If p = \(\frac { -3 }{ 2 }\), q = \(\frac { 4 }{ 5 }\) and r = \(\frac { -7 }{ 12 }\), then verify that (p ÷ q) ÷ r ≠ p ÷ (q ÷ r).
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths