Category: ICSE

ML Aggarwal Class 7 Solutions Chapter 4 Exponents and Powers Check Your Progress for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Check Your Progress

Question 1.
Find the value of each of the following:
(i) (-3)³ × 5²
(ii) (-1)⁵⁰¹ × [(27)⁴ ÷ (9)⁵]
(iii) \(\left( -3\frac { 1 }{ 2 } \right) ^{ 3 }\)
Solution:

Question 2.
Simplify the following:

Solution:

Question 3.
Simplify and write the following in exponential form:

Solution:

Question 4.

Solution:

Question 5.
Write the prime factorisation of the following numbers in the exponential form:
(i) 24000
(ii) 12600
(iii) 14157
Solution:

Question 6.
Express the numbers appearing in the following statements in scientific notation:
(i) The earth has 1,353,000,000 cubic km of water.
(ii) The population of India was about 1,027,000,000 in march, 2001.
(iii) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water.
Solution:

Question 7.
Compare the following numbers:
(i) 5.976 × 10²⁴; 8.689 × 10²³
(ii) 3.7662 × 10¹⁷; 3.7671 × 10¹⁷
Solution:

ML Aggarwal Class 7 Solutions Chapter 2 Fractions and Decimals Check Your Progress for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 2 Fractions and Decimals Check Your Progress

Question 1.
What fraction is 270 gram of 3 kilograms?
Solution:

Question 2.
Simplify the following:

Solution:

Question 3.
A shirt was marked at ₹ 540. It was sold at \(\frac { 3 }{ 4 }\) of the marked price. What was the sale price?
Solution:

Question 4.
In a class of 56 students, \(\frac { 1 }{ 4 }\) are in blue house and \(\frac { 3 }{ 14 }\) are in yellow house. Out of the remaining, \(\frac { 1 }{ 3 }\) are in the greenhouse and the rest are in the red house. Find the number of students in each house.
Solution:

Question 5.
Rohit bought a motorcycle for ₹ 36000. He paid \(\frac { 1 }{ 6 }\) of the price in cash and the rest in 12 equal monthly installments. Find the amount he had to pay every month.
Solution:

Question 6.
Mr Mukerjee gave \(\frac { 5 }{ 14 }\) of his money to his son, \(\frac { 2 }{ 3 }\) of the remainder to his daughter and the rest to his wife. If his wife got ₹ 36000, what was that total amount?
Solution:

Question 7.

Solution:

Question 8.
Convert the following numbers to fractions (in simplest form):
(i) 0.025
(ii) 0.876
(iii) 4.3125
Solution:

Question 9.
Write the following fractions as decimals:
(i) 1\(\frac { 3 }{ 8 }\)
(ii) \(\frac { 47 }{ 125 }\)
(iii) 2\(\frac { 9 }{ 40 }\)
Solution:

Question 10.
By how much does the sum of 17.443 and 29.657 exceed the sum of 13.687 and 18.548?
Solution:

Question 11.
Simplify the following:
(i) 4.27 × 0.036
(ii) 0.09 × 1.04
(iii) 1.32 ÷ 0.8
(iv) 0.7038 ÷ 0.34
Solution:

Question 12.
If one kg of rice costs ₹ 52.70, then find the cost of 12.5 kg rice.
Solution:

Question 13.
A piece of cloth is 24.5 m long. How many pieces, each of length 1.75 m, can be cut from it?
Solution:

Question 14.
The product of two decimal numbers is 1.599 and one of them ¡s 0.65, find the other.
Solution:

Question 15.
Simplify the following:

Solution:

ML Aggarwal Class 7 Solutions Chapter 2 Fractions and Decimals Objective Type Questions for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 2 Fractions and Decimals Objective Type Questions

Mental Maths

Question 1.
Fill in the blanks:
(i) In fractions with same numerator, the fraction with greater denominator is …….
(ii) \(\frac { 114 }{ 138 }\) reduced to simplest forms is ………
(iii) \(\frac { 154 }{ 286 }\) = \(\frac { …… }{ 13 }\)
(iv) The reciprocal of the fraction 2\(\frac { 3 }{ 8 }\) is …….
(v) There are …….. minutes in \(\frac { 2 }{ 5 }\) th of 2 hours.
(vi) 2\(\frac { 3 }{ 7 }\) × 4\(\frac { 2 }{ 3 }\) = …….
(vii) 1\(\frac { 2 }{ 3 }\) ÷ 2\(\frac { 1 }{ 5 }\) = ………
(viii) If the price of 7 similar pens is ₹ 37.80, then the price of each pen is ……..
(ix) 5.4 × 2.35 = ……
(x) 0.32 ÷ 8 = …….
(xi) 45 mg = ………. g
(xii) 5.06 kg = ……… kg …….. g
(xiii) 7.035 m = ……. m …….. cm …….. mm
(xiv) The product of a proper fraction and an improper fraction is …… the improper fraction.
(xv) The lowest form of the product 2\(\frac { 3 }{ 7 }\) × \(\frac { 7 }{ 9 }\) is ………
(xvi) Ravi ate \(\frac { 2 }{ 7 }\) part of a cake while his sister Rani ate \(\frac { 4 }{ 5 }\) of the remaining. Part of the cake left is ……
Solution:

Question 2.
State whether the following statements are true (T) or false (T):
(i) The reciprocal of 1 is 0.
(ii) The reciprocal of a proper fraction is a proper fraction.
(iii) The reciprocal of an improper fraction is an improper fraction.
(iv) Product of two fractions

(x) The product of two proper fractions is greater than each of the two fractions.
(xi) To multiply a decimal number by 10, move the decimal point to the left by one place.
(xii) To divide a decimal number by 100, move the decimal point to the left by two places.
Solution:

Multiple Choice Questions

Choose the correct answer from the given four options (3 to 20):
Question 3.
\(\frac { 5 }{ 6 }\) of 480 is
(a) 400
(b) 576
(c) 480
(d) none of these
Solution:

Question 4.
The reciprocal of 5\(\frac { 2 }{ 3 }\) is
(a) 5\(\frac { 3 }{ 2 }\)
(b) 3\(\frac { 2 }{ 5 }\)
(c) 2\(\frac { 3 }{ 5 }\)
(d) \(\frac { 3 }{ 17 }\)
Solution:

Question 5.
The fraction \(\frac { 11 }{ 7 }\) lies between
(a) 11 and 7
(b) 1 and 2
(c) 0 and 1
(d) 2 and 3
Solution:

Question 6.
If the cost of 1 kg almonds is ₹ 460, then the cost of \(\frac { 2 }{ 5 }\) kg of almonds is
(a) ₹ 92
(b) ₹ 184
(b) ₹ 230
(d) ₹ 1200
Solution:

Question 7.

Solution:

Question 8.

Solution:

Question 9.
If \(\frac { 3 }{ 4 }\) of a number is 12, then the number is
(a) 9
(b) 16
(c) 18
(d) 32
Solution:

Question 10.
Arif bought 3 dozen eggs. He found \(\frac { 1 }{ 9 }\) of them were rotten. The number of rotten eggs was
(a) 4
(b) 3
(c) 6
(d) 8
Solution:

Question 11.
Shruti reads a novel for 1\(\frac { 3 }{ 4 }\) hours daily, if she reads the entire novel in 6 days, then the time she takes to read the entire novel is
(a) 7\(\frac { 1 }{ 2 }\) hours
(b) 9\(\frac { 1 }{ 2 }\) hours
(c) 10\(\frac { 1 }{ 2 }\) hours
(d) 11\(\frac { 1 }{ 2 }\) hours
Solution:

Question 12.
The place value of the digit 7 in the decimal number 35.0471 is
(a) 7
(b) \(\frac { 7 }{ 100 }\)
(c) \(\frac { 1 }{ 1000 }\)
(d) \(\frac { 7 }{ 1000 }\)
Solution:

Question 13.
0.002 × 0.3 is
(a) 0.6
(b) 0.06
(c) 0.006
(d) 0.006
Solution:

Question 14.
The value of the mixed fraction 5\(\frac { 3 }{ 8 }\) is
(a) 5.735
(b) 5.375
(c) 5.625
(d) 5.875
Solution:

Question 15.
0.35 ÷ 0.7 is
(a) 50
(b) 5
(c) 0.5
(d) 0.05
Solution:

Question 16.
30 m 5 cm is same as
(a) 30.5 m
(b) 3.05 m
(c) 30.05 m
(d) 30.005 m
Solution:

Question 17.
0.05309 × 1000 is
(a) 5.309
(b) 53.09
(c) 530.9
(d) none of these
Solution:

Question 18.
2.305 ÷ 1000 is
(a) 0.2305
(b) 0.02305
(c) 0.002305
(d) none of these
Solution:

Question 19.
If each side of a regular hexagon is 3.5 cm, then the perimeter of the hexagon is
(a) 17.5 cm
(b) 21 cm
(c) 18.5 cm
(d) 24.5 cm
Solution:

Question 20.
Which of the following numbers has the smallest value?
(a) 0.0002
(b) \(\frac { 2 }{ 1000 }\)
(c) 0.02 × 0.001
(d) \(\frac { 2 }{ 1000 }\) ÷ 0.01
Solution:

Value Based Questions

Question 1.
Seema had one sandwich for her lunch and her two other friends in the class forgot to bring their lunch. Seema decided to share equally her sandwich with her friends. How much part of the sandwich each girl will get? What have you learnt by this behaviour of Seema?
Solution:

Question 2.
A farmer had a large field of dimensions 1396.5 m by 272.72 m. Find the area of the field. He left \(\frac { 1 }{ 6 }\) of this area to make a playground for the children of the locality. Find the area of the playground. Which value of the farmer is reflected in this act?
Solution:

Higher Order Thinking Skills (HOTS)

Question 1.
I read \(\frac { 4 }{ 9 }\) of a book on one day and \(\frac { 3 }{ 5 }\) of the remaining next day. If 100 pages of the book were still left unread, how many pages did the book contain?
Solution:

Question 2.
A drum of petrol is \(\frac { 3 }{ 4 }\) full. When 30 litres of oil are drawn from it, it is \(\frac { 7 }{ 12 }\) full. Find the capacity of the drum.
Solution:

ML Aggarwal Class 7 Solutions Chapter 4 Exponents and Powers Objective Type Questions for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions

Mental Maths

Question 1.
Fill in the blanks:
(i) In the expression (-5)⁹, exponent = ……… and base = ………..
(ii) If the base is \(\frac { -3 }{ 4 }\) and exponent is 5, then exponential form is ………
(iii) The expression (x²y⁵)³ in the simplest form is ………
(iv) If (100)⁰ = 10ⁿ, then the value of n is ……..

(ix) 35070000 = 3.507 × 10^….
(x) If (-2)ⁿ = -128, then n = ……..
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) If a is a rational number then a^m × aⁿ = a^m×n
(ii) 2³ × 3² = 6⁵.
(iii) The value of (-2)^-3 is \(\frac { -1 }{ 8 }\).
(iv) The value of the expression 2⁹ × 2⁹¹ – 2¹⁹ × 2⁸¹ is 1.
(v) 3⁰ = (1000)⁰.
(vi) 5⁶ ÷ (-2)⁶ = \(\frac { -5 }{ 2 }\)
(vii) 5⁰ × 3⁰ = 8⁰
(viii) \(\frac { { 2 }^{ 3 } }{ 7 } <\left( \frac { 2 }{ 7 } \right) ^{ 3 }\)
(ix) (10 + 10)⁴ = 10⁴ + 10⁴.
(x) x⁰ × x⁰ = x⁰ ÷ x⁰, where x is a non-zero rational number.
(xi) 4⁹ is greater than 16³.
(xii) x^m + x^m = x^2m, where x is a non-zero rational number and m is a positive integer.
(xiii) \(\left( \frac { 4 }{ 3 } \right) ^{ 5 }\times \left( \frac { 5 }{ 7 } \right) ^{ 5 }=\left( \frac { 4 }{ 3 } +\frac { 5 }{ 7 } \right) ^{ 5 }\)
Solution:

Multiple Choice Questions

Choose the correct answer from the given four options (3 to 18):
Question 3.
a × a × a × b × b × b is equal to
(a) a³b²
(b) a²b³
(c) (ab)³
(d) a⁶b6
Solution:

Question 4.
(-2)³ × (-3)² is equal to
(a) 6⁵
(b) (-6)⁶
(c) 72
(d) -72
Solution:

Question 5.
The expression (pqr)³ is equal to
(a) p³qr
(b) pq³r
(c) pqr³
(d) p³q³r³
Solution:

Question 6.

Solution:

Question 7.

Solution:

Question 8.
The value of (5³⁰ × 5²⁰) ÷ (5⁵)⁹ in the exponential form is
(a) 5^-5
(b) 5⁵
(c) 5⁵⁰
(d) 5⁹⁵
Solution:

Question 9.
The law \(\left( \frac { a }{ b } \right) ^{ n }=\frac { { a }^{ n } }{ b^{ n } }\) does not hold when
(a) a = 3, b = 2
(b) a = -2, b = 3
(c) n = 0
(d) b = 0
Solution:

Question 10z

Solution:

Question 11.

Solution:

Question 12.
The value of 5^-1 – 6^-1 is
(a) \(\frac { 1 }{ 30 }\)
(b) \(\frac { -1 }{ 30 }\)
(c) 30
(d) -30
Solution:

Question 13.
The value of (6^-1 – 8^-1)^-1 is
(a) \(\frac { -1 }{ 2 }\)
(b) -2
(c) \(\frac { 1 }{ 24 }\)
(d) 24
Solution:

Question 14.

Solution:

Question 15.
If 2³ + 1³ = 3^x, then the value of x is
(a) 0
(b) 1
(c) 2
(d) 3
Solution:

Question 16.
The standard form of 751.65 is
(a) 7.5165 × 10²
(b) 75.165 × 10¹
(c) 7.5165 × 10⁴
(d) 7.51 × 10²
Solution:

Question 17.
The usual form of 5.658 × 10⁵ is
(a) 5658
(b) 56580
(c) 565800
(d) 5658000
Solution:

Question 18.
Which of the following numbers is in the standard form?
(a) 26.57 × 10⁴
(b) 2.657 × 10⁴
(c) 265.7 × 10³
(d) 0.2657 × 10⁶
Solution:

Value Based Questions

Question 1.
Typhoid is caused by bacteria Salmonella typhi. The size of Salmonella typhi is about 0.0000000005 mm. Express it in standard form. Vinay is suffering from typhoid, his doctor advised him to take healthy food and avoid eating food or drinking beverages from street vendors.
Why should we eat healthy food and why should we not eat food from street vendors?
Solution:

Higher Order Thinking Skills (HOTS)

Question 1.

Solution:

Question 2.

Solution:

ML Aggarwal Class 7 Solutions Chapter 2 Fractions and Decimals Ex 2.7 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 2 Fractions and Decimals Ex 2.7

Simplify the following (1 to 3):
Question 1.

Solution:

Question 2.

Solution:

Question 3.

Solution:

Question 4.
Simplify the following:

Solution:

Question 5.
Simplify the following:

Solution:

Are you looking for the best ICSE Understanding Mathematics ML Aggarwal Class 7 Solutions? Then, grab them from our page and ace up your preparation for ICSE Class 7 Exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 2 Fractions and Decimals Ex 2.6

Question 1.
Find the following:
(i) 2.7 × 4
(ii) 2.71 × 5
(iii) 2.5 × 0.3
(iv) 2.3 × 4.35
(v) 238.06 × 7.5
(vi) 0.79 × 32.4
(vii) 1.07 × 0.02
(viii) 10.05 × 1.05
Solution:

Question 2.
find the following:
(i) 10.8 ÷ 4
(ii) 126.35 ÷ 7
(iii) 22.5 ÷ 1.5
(iv) 4.28 ÷ 0.02
(v) 3.645 ÷ 1.35
(vi) 0.728 ÷ 0.04
(vii) 13.06 ÷ 0.08
(viii) 58.635 ÷ 4.5
Solution:

Question 3.
Multiply each of the following numbers by 10, 100 and 1000 (orally):
(i) 5.9
(ii) 3.76
(iii) 0.549
Solution:

Question 4.
Divide each of the following numbers by 10, 100 and 1000 (orally):
(i) 4.8
(ii) 38.53
(iii) 128.9
Solution:

Question 5.
Find the area of a rectangle whose length is 5.7 cm and breadth is 3.5 cm.
Solution:

Question 6.
The cost of one-metre cloth is ₹ 38.50. Find the cost of 3.6 m cloth.
Solution:

Question 7.
A two-wheeler covers a distance of 45.3 km in one litre of petrol. How much distance will it cover in 5.9 litres of petrol?
Solution:

Question 8.
If 1 kg of pure milk contains 0.245 kg of fat. How much fat is there in 12.8 kg of milk?
Solution:

Question 9.
If ₹ 242.46 are to be distributed among 6 children equally, find the share of each.
Solution:

Question 10.
A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it cover in one litre of petrol?
Solution:

Question 11.
How many ice cream cones can be filled from 8.4 litres of ice cream if one cone can be filled with 35 millilitres of ice cream?
Solution:

Question 12.
If the product of two decimal numbers is 38.745 and one of the numbers is 2.7, find the other.
Solution:

Question 13.
If \(\frac { 2 }{ 3 }\) of a number is 10, then what is 1.75 times of that number?
Solution:

ML Aggarwal Class 7 Solutions Chapter 4 Exponents and Powers Ex 4.3 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Ex 4.3

Question 1.
Write the following numbers in the standard form (or scientific notation):
(i) 530.7
(ii) 3908.78
(iii) 39087.8
(iv) 2.35
(v) 3,43,000
(vi) 70,00,000
(vii) 3,18,65,00,000
(viii) 893,000,000
(ix) 70,040,000,000
Solution:

Question 2.
Write the following numbers in usual decimal notation:
(i) 4.7 × 10³
(ii) 1.205 × 10⁵
(iii) 1.234 × 10⁶
(iv) 4.87 × 10⁷
(v) 6.05 × 10⁸
(vi) 9.083 × 10¹¹
Solution:

Question 3.
Express the numbers appearing in the following statements in scientific notation (or standard form):
(i) The distance between the earth and the moon is 384,000,000 m.
(ii) The diameter of the sun is 1,400,000,000m.
(iii) The universe is estimated to be about 12,0000,000 years old.
(iv) In a galaxy, there are on an average 100,000,000,000 stars.
(v) The distance of the sun from the centre of milky way galaxy is estimated to be 300,000,000,000,000,000 km.
(vi) The astronomical distance of unit is a light year (a light year is a distance travelled by the light in one year). A light year is about 9,467,500,000,000 kilometers.
Solution:

Question 4.
Compare the following numbers:
(i) 4.3 × 10¹⁴; 3.01 × 10¹⁷
(ii) 1.439 × 10¹²; 1.4335 × 10¹²
Solution:

Question 5.
Write the following numbers in the expanded Exponential form:
(i) 279404
(ii) 3006194
(iii) 28061906
Solution:

Question 6.
Find the number from each of the expanded form:
(i) 3 × 10⁴ + 7 × 10² + 5 × 10⁰
(ii) 4 × 10⁵ + 5 × 10³ + 3 × 10² + 2 × 10⁰
(iii) 8 × 10⁷ + 3 × 10⁴ + 7 × 10³ + 5 × 10² + 8 × 10¹
Solution:

ML Aggarwal Class 7 Solutions Chapter 4 Exponents and Powers Ex 4.2 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Ex 4.2

Question 1.
Using laws of exponents, simplify and write the following in the exponential form:

Solution:

Question 2.
Simplify and write the following in the exponential form:
(i) 5³ × 5⁷ × 5¹²
(ii) a⁵ × a³ × a⁷
(iii) (7¹² × 7³) ÷ 7⁴
Solution:

Question 3.
Simplify and write the following in the exponential form:
(i) (2²)¹⁰⁰
(ii) ((-7)⁶)⁵
(iii) (3²)⁵ × (3⁴)⁷
Solution:

Question 4.
Simplify and write in the exponential form:

Solution:

Question 5.
Simplify and write in the exponential form:

Solution:

Question 6.
Simplify and express each of the following in the exponential form:

Solution:

Question 7.
Express each of the following rational numbers in the exponential form:

Solution:

Question 8.
Simplify the following:

Solution:

Question 9.
Simplify the following:

Solution:

Question 10.
Simplify the following:

Solution:

Question 11.
Simplify:

Solution:

Question 12.
Express each of the following as a product of prime factors in the exponential form:
(i) 108 × 192
(ii) 729 × 64
(iii) 384 × 147
Solution:

Question 13.
Simplify and write the following in the exponential form:
(i) 3³ × 2² + 2² × 5⁰
(ii) 9² + 11² – 2² × 3 × 17⁰
Solution:

Question 14.
(i) By what number should we multiply 3⁴ so that the product is 3⁷?
(ii) By what number should be multiple (-6)^-1 so that the product is 10^-1?
Solution:

Question 15.

Solution:

Are you looking for the best ICSE Understanding Mathematics ML Aggarwal Class 7 Solutions? Then, grab them from our page and ace up your preparation for ICSE Class 7 Exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 2 Fractions and Decimals Ex 2.5

Question 1.
Write the following numbers in the expanded form:
(i) 20.03
(ii) 200.03
(iii) 2.034
Solution:

Question 2.
Write the place value of digit 2 in the following decimal numbers:
(i) 2.56
(ii) 21.37
(iii) 10.25
(iv) 63.352
Solution:

Question 3.
Convert the following decimal numbers to frac ions (in simplest form):
(i) 0.8
(ii) 0.225
(iii) 0. 0092
(iv) 3.025
Solution:

Question 4.
Convert the following decimals to mixed fractions:
(i) 5.05
(ii) 63.125
(iii) 17.075
(iv) 317.0006
Solution:

Question 5.
Convert the following fractions into decimal numbers:
(i) \(\frac { 3 }{ 5 }\)
(ii) \(\frac { 7 }{ 8 }\)
(iii) 3\(\frac { 5 }{ 16 }\)
(iv) 137\(\frac { 13 }{ 62 }\)
Solution:

Question 6.
Which is greater?
(i) 0.5 or 0.05
(ii) 7 or 0.7
(iii) 2.03 or 2.30
(iv) 0.8 or 0.88
Solution:

Question 7.
Arrange the following decimal numbers in ascending order:
(i) 38.02, 38.021, 3.802, 83.02, 38.002
(ii) 46.542, 46.452, 46.254, 46.05, 64.542, 46.0542
Solution:

Question 8.
Arrange the following decimal numbers in descending order:
(i) 5.6, 0.93, 1.87, 1.9, 1.78, 0.39
(ii) 71.201, 20.1, 2.01, 3.1, 2.14, 0.652
Solution:

Question 9.
Express as rupees using decimals:
(i) 7 paise
(ii) 77 rupees 77 paise
(iii) 235 paise
Solution:

Question 10.
Express 5 cm in metre and kilometre.
Solution:

Question 11.
Express in kg using decimals:
(i) 200 g
(ii) 3470 g
(iii) 4 kg 8 g
Solution:

Question 12.
Add:
(i) 5.765, 9.2, 3.08
(ii) 15.49, 8.3572, 0.903, 7.8
Solution:

Question 13.
Workout the following:
(i) 72.53 – 46.782
(ii) 18.376 – 5.43 – 8.8976
(iii) 28.5 – 9.708 – 6.234
(iv) 8.2 – 4.56 – 0.7912 + 2.67
Solution:

Question 14.
(i) What number added to 3.56 gives 13.016?
(ii) What number should be subtracted from 30 to get 23.709?
(iii) What is the excess of 20.4 over 9.7403?
Solution:

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 2 Fractions and Decimals Ex 2.3

Question 1.
Evaluate the following:

Solution:

Question 2.
Find:

Solution:

Question 3.
Evaluate the following:

Solution:

Question 4.
Find the value of:

Solution:

Question 5.
Which is greater:

Solution:

Question 6.
If 1 metre cloth costs ₹ 31\(\frac { 3 }{ 4 }\), find the cost of 5\(\frac { 1 }{ 2 }\) metres cloth.
Solution:

Question 7.
If the speed of a car is 105\(\frac { 1 }{ 5 }\) km/h, find the distance covered by it in 3\(\frac { 3 }{ 5 }\) hours.
Solution:

Question 8.
A car runs 16 km using 1 litre of petrol. How much distance will it cover in 2\(\frac { 3 }{ 4 }\) litres of petrol?
Solution:

Question 9.
Sushant reads \(\frac { 1 }{ 3 }\) part of a book in 1 hour. How much part of the book will he read in 2\(\frac { 1 }{ 5 }\) hours?
Solution:

Question 10.
An ornament is made of gold and copper and weighs 52 grams. If \(\frac { 2 }{ 13 }\) of its part is copper, find the weight of pure gold in it.
Solution:

Question 11.
In a class of 40 students, \(\frac { 1 }{ 5 }\) of the total number of students like to study English and \(\frac { 2 }{ 5 }\) of the total number of students like to study Mathematics and the remaining like to study Science.
(i) How many students like to study English?
(ii) How many students like to study Mathematics?
(iii) What fraction of the total number of students like to study Science?
Solution:

Question 12.
A rectangular sheet of paper is 12\(\frac { 1 }{ 2 }\) cm long and 10\(\frac { 2 }{ 3 }\) cm wide. Find its
(i) perimeter
(ii) area
Solution:

Question 13.
In a school, \(\frac { 25 }{ 54 }\) of the students are girls and the rest are boys. If the number of boys is 2030, find the number of girls.
Solution:

Question 14.
In an orchard, \(\frac { 1 }{ 5 }\) are orange grees, \(\frac { 3 }{ 13 }\) are mango trees and the rest are banana trees. If the banana trees are 148 in number, find the total number of trees in the orchard.
Solution:

Are you looking for the best ICSE Understanding Mathematics ML Aggarwal Class 7 Solutions? Then, grab them from our page and ace up your preparation for ICSE Class 7 Exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 2 Fractions and Decimals Ex 2.2

Question 1.
Evaluate the following:

Solution:

Question 2.
Simplify the following:

Solution:

Question 3.
Jaishree studies for 5\(\frac { 2 }{ 3 }\) hours daily. She devotes 2\(\frac { 4 }{ 5 }\) hours of her time for Science and Mathematics. How much time does she devote to other subjects?
Solution:

Question 4.
Ramesh solved \(\frac { 2 }{ 7 }\) part of an exercise while Reshma solved \(\frac { 4 }{ 5 }\) of it. Who solved the lesser part? By how much?
Solution:

Question 5.
Sonali had ₹ 35\(\frac { 3 }{ 5 }\). She got ₹ 16\(\frac { 1 }{ 15 }\) from her mother and spent ₹ 28\(\frac { 2 }{ 3 }\) on food. How much money is left with her?
Solution: