ICSE

ML Aggarwal Class 6 Solutions Chapter 7 Decimals Ex 7.3 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 7 Decimals Ex 7.3

Question 1.
Add:
(i) 17.5 , 8.8
(ii) 9.999 , 0.03
(iii) 5.87 , 1.03 , 0.1
(iv) 23.71, 9.9, 4.023
(v) 4.5, 16.024, 7.99
(vi) 8.79, 23.001 , 5.41, 0.875
Solution:

Question 2.
Work out:
(i) 5.82 – 2.65
(ii) 19.01 – 12.234
(iii) 15.4 + 3.015 – 14.237
(iv) 7.4 – 2.19 – 0.456 – 3.5
(v) 19.27 – 3.6 – 8.812 + 0.84
(vi) 6.4 – 2.351 – 1.45 – 0.999
Solution:

Question 3.
What number added to 0.756 gives 1?
Solution:

Question 4.
By how much should 17.45 be decreased to get 7.9702?
Solution:

ML Aggarwal Class 6 Solutions Chapter 7 Decimals Ex 7.2 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 7 Decimals Ex 7.2

Question 1.
Write the following decimal fractions as decimal numbers:

Solution:

Question 2.
Write the following decimal numbers as decimal fractions:
(i) 54.01
(ii) 318.105
(iii) 0.37
(iv) 0.047
(v) 0.03
(vi) 34.5
Solution:

Question 3.
Write the following decimal numbers as fractions in lowest terms:
(i) 0.8
(ii) 0.04
(iii) 0.125
(iv) 0.225
(vi) 0.066
(vii) 0.092
Solution:

Question 4.
Convert the following decimal numbers into mixed fractions:
(i) 31.6
(ii) 3.25
(iii) 7.025
(iv) 95.95
Solution:

Question 5.
Convert the following fractions into decimal numbers:

Solution:

Question 6.
Convert the following unlike decimal numbers to like decimal numbers :
(i) 17.5, 3.912
(ii) 5.04, 13.1902
(iii) 2.451, 3.7, 28.34
(iv) 3.1,2.678,27.0103
Solution:

Question 7.
In each of the following pairs of decimal numbers, state which number is greater ?
(i) 0.3, 0.4
(ii) 1, 0.99
(iii) 1.09, 1.093
(iv) 0.5, 0.05
Solution:

Question 8.
In each of the following pairs of decimal numbers, state which number is smaller:
(i) 45.78, 345.8
(ii) 37.701, 37.71
(iii) 5.907, 5.903
Solution:

Question 9.
Arrange the following decimal numbers in ascending order:
(i) 27.35, 27.305, 2.7, 2.543
(ii) 4.53, 4.07, 29.1, 0.9, 0.709
Solution:

Question 10.
Arrange the following decimal numbers in descending order:
(i) 3.303, 33.03, 3.3, 30.33
(ii) 72.5, 2.75, 27.505, 0.275, 2.507
Solution:

ML Aggarwal Class 6 Solutions Chapter 7 Decimals Ex 7.1 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 7 Decimals Ex 7.1

Question 1.
Write each of the following decimal numbers in words:
(i) 30.5
(ii) 0.03
(iii) 108.56
(iv) 47.20
(v) 5.008
(vi) 26.039
Solution:

Question 2.
Write each of the following decimal numbers in the place value table :
(i) 4.2
(ii) 0.3
(iii) 205.9
(iv) 0.29
(v) 2.08
(vi) 7200.812
(vii) 38.007
Solution:

Question 3.
Write the following decimal numbers in the expanded form :
(i) 123.7
(ii) 43.06
(iii) 509.306
Solution:

Question 4.
Write each of the following as a decimal number :

Solution:

Question 5.
Write each of the following as decimals:
(i) Two ones and five tenths
(ii) Two tens and nine tenths
(iii) Six hundred point eight
(iv) Two hundred five anf five hundredths
(v) Seven and fifteen thousandths
Solution:

Question 6.
Write the number given in the following place value table in decimal form:

Solution:

Question 7.
Show the following decimal numbers on the number line:
(i) 0.4
(ii) 1.9
(iii) 1.1
(iv) 2.5
Solution:

Question 8.
Write the decimal numbers represented by the points A, B, C and D on the given number line:

Solution:

Question 9.
Between which two numbers in tenths place on the number line does each of the given number lie?
(i) 0.06
(ii) 0.45
(iii) 0.66
(iv) 0.92
Solution:

ML Aggarwal Class 6 Solutions Chapter 6 Fractions 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 6 Solutions for ICSE Maths Chapter 6 Fractions Check Your Progress

Question 1.
State whether the following statements are true (T) or false (F):
(i) The fraction \(\frac{2}{3}\) lies between 2 and 3.
(ii) To find an equivalent fraction to a given fraction, we may add or subtract the same (non-zero) number to its numerator and denominator.
(iii) To add or subtract like fractions, we add or subtract the numerators while keeping the denominator same.
Solution:

Question 2.
How many natural numbers are there between 102 and 112? What fraction of them are prime numbers?
Solution:

Question 3.
Match the equivalent fractions from each row:

Solution:

Question 4.
Replace by an appropriate symbol ‘< or >’ between the given fractions:

Solution:

Question 5.
Arrange the following fractions in descending order : \(\frac{7}{30}, \frac{13}{15}, \frac{9}{10}, \frac{3}{5}\)
Solution:

Question 6.
Simplify: \(2 \frac{1}{2}-3 \frac{1}{4}+5 \frac{5}{6}\)
Solution:

Question 7.
Evaluate the following:

Solution:

Question 8.
Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is \(\frac{5}{6}\) full and Samuel’s shelf is \(\frac{3}{5}\) full. Whose bookshelf is more full and by what fraction?
Solution:

Question 9.
A farmer uses four out of five equal strips of his land for wheat crop and \(\frac{1}{7}\) of his land for cereal crop. What fraction of his land is available for other crops?
Solution:

ML Aggarwal Class 6 Solutions Chapter 6 Fractions 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 6 Solutions for ICSE Maths Chapter 6 Fractions Objective Type Questions

Mental Maths
Question 1.
Fill in the blanks:
(i) A fraction is a number which represent a ………… of whole.
(ii) A proper fraction lies between 0 and …………
(iii) A mixed fraction can be converted into ………… fraction.
(iv) Fractions having different denominations are called …………
(v) In two like fractions, the fraction having smaller numerator is …………
(vi) \(\frac{144}{180}\) reduced to simplest form is …………..
(vii) \(7 \frac{2}{5}\) + ………… = 12
(viii) \(\frac{42}{56}=\frac{6}{\dots . .}\)
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) Two fractions with same numerator are called like fractions.
(ii) A fraction in which the numerator is greater than is denominator is called an improper fraction.
(iii) Every improper fract on can be converted into a mixed fraction.
(iv) Every fraction can be represented by a point on a number line.
(v) In two unlike fractions with same numerator, the fraction having greater denominator is greater.
(vi) \(\frac{1}{2}, \frac{1}{3} \text { and } \frac{1}{4}\) are like fractions.
(vii) \(5-1 \frac{3}{4}=4 \frac{1}{4}\)
Solution:

Multiple Choice Questions
Choose the correct answer from the given four options (3 to 17):
Question 3.
In the given figure, the shaded part is represented by the fraction :

Solution:

Question 4.
In the given figure, the shaded region is represented by the fraction :

Solution:

Question 5.
The two consecutive integers between which the fraction \(\frac{5}{7}\) lies are
(a) 5 and 7
(b) 5 and 6
(c) 6 and 7
(d) 0 and 1
Solution:

Question 6.
Which of the following pairs of fractions are not equivalent?

Solution:

Question 7.
The fraction equivalent to \(\frac{45}{81}\) is

Solution:

Question 8.
The fraction which is not equal to \(\frac{4}{5}\) is

Solution:

Question 9.
Which of the following fractions is not in the lowest form?

Solution:

Question 10.
A pair of like fraction is

Solution:

Question 11.
Which of the following fractions is the greatest?

Solution:

Question 12.
Which of the following fractions is the smallest?

Solution:

Question 13.
Which of the following is a false statement?

Solution:

Question 14.

Solution:

Question 15.

Solution:

Question 16.
Anshul eats \(\frac{4}{7}\) of a pizza. The fraction of the pizza left is

Solution:

Question 17.
The fraction whose numerator is the smallest odd prime number and denominator is the smallest composite number is

Solution:

Higher Order Thinking Skills (Hots)
Question 1.
Write all proper fractions whose sum of numerator and denominator is 12.
Solution:

Question 2.
The given figure represents the preferences of the students during breakfast in a hostel mess. If the total number of students in the mess is 540, then with reference to the given figure, answer the following questions:

(i) What is the number of students who prefer coffee?
(ii) Whose number is greater, milk drinkers or
orange juice drinkers and by what number?
(iii) What is the total number of students who drink
mango shake or coffee? Is it equal to milk drinker?
(iv) Is the sum of all fractions in the given figure equal to 1 ?
Solution: