AP Board 6th Class Maths Solutions Chapter 5 Fractions and Decimals Ex 5.4

   

AP State Syllabus AP Board 6th Class Maths Solutions Chapter 5 Fractions and Decimals Ex 5.4 Textbook Questions and Answers.

AP State Syllabus 6th Class Maths Solutions 5th Lesson Fractions and Decimals Ex 5.4

Question 1.
Which of the following are unlike decimal fractions ?
i) 5.03, 6.185
ii) 42.7, 7.42
iii) 16.003, 5.301
iv)15.81, 1.36
Answer:
i) 5.03, 6.185
5.3 has 2 decimal places
6.185 has 3 decimal places
Their decimal places are not equal.
So, these decimal fraction are unlike decimal fractions.

ii) 42.7, 7.42
42.7 has one decimal place
7.42 has two decimal places
Their decimal places are not equal.
So, these are unlike decimal fractions.

iii) 16.003, 5.301
16.3 has three decimal places
5.301 has three decimal places
Their decimal places are equal.
So, these are like decimal fractions.

AP Board 6th Class Maths Solutions Chapter 5 Fractions and Decimals Ex 5.4

iv) 15.81, 1.36
15.81 has two decimal places
1.36 has two decimal places
Their decimal places are equal.
So, these are like decimal fractions.

Question 2.
Change the following into like decimal fractions.
i) 0.802, 54.32, 873.274
ii) 4.78, 9.193, 11.3
iii) 16.003, 16.9, 16.19
Answer:
i) 0.802, 54.32, 873.274
Given decimal fractions are 0.802, 54.32, 873.274
The greatest number of decimal places is 3.
So, we convert all of them to equivalent decimals with 3 decimal places by placing sufficient zeroes.
0.802 = 0.802
54.32 = 54.320
873.274 = 873.274
Thus, 0.802, 54.32, 873.274 when converted to like decimals becomes 0.802, 54.320, 873.274.

ii) 4.78, 9.193, 11.3
Given decimal fractions are 4.78, 9.193, 11.3.
So, we convert all of them to equivalent decimals with 3 decimal places.
4.78 = 4.780
9.193 = 9.193
11.3 = 11.300
Thus, 4.78, 9.193, 11.3 when converted to like decimals becomes 4.780, 9.193, 11.300.

iii) 16.003, 16.9, 16.19
Given decimal fractions are 16.003, 16.9, 16.19
So, we convert all of them to equivalent decimals with three decimal places by providing sufficient zeroes.
16.3 = 16.003
16.9 = 16.900
16.19 = 16.190
Thus, 16.003, 16.9, 16.19 when converted to like decimals becomes 16.003, 16.900, 16.190.

AP Board 6th Class Maths Solutions Chapter 5 Fractions and Decimals Ex 5.4

Question 3.
Write the following in ascending order.
a) 7.26, 7.62, 7.2
b) 0.464, 0.644, 0.446, 0.664
c) 30.000, 30.060, 30.30
Answer:
a) 7.26, 7.62, 7.2
Given decimal fractions are 7.26, 7.62, 7.20
First compare the whole numbers.
Here whole numbers are equal. So, compare tenth’s place digits of the decimal fractions.
In 7.26 and 7.20 Tenths places are same.
But 7.62 Tenth place is more than the remaining numbers.
So,7.62 > 7.26 and 7.62 > 7.20
To compare 7.26 and 7.20 we should compare hundredth’s places. Then 7.26 > 7.20
∴ 7.62 > 7.26 > 7.20
(or) 7.20 < 7.26 < 7.62
Ascending order: 7.20; 7.26; 7.62

b) 0.464, 0.644, 0.446, 0.664
Given decimal fractions are 0.464, 0.644, 0.446, 0.664
Then, compare whole numbers.
Here whole numbers are same. Then, compare tenth’s place digits of the decimal fractions.
0.464, 0.446 are less than 0.644 and 0.664.
First make or check the given fraction are all like fractions or not?
Then, compare hundredth’s place digits
∴ 0.464 > 0.446, 0.664 > 0.644
and 0.664 > 0.644 > 0.464 > 0.446
(or) 0.446 < 0.464 < 0.644 < 0.664
Ascending order: 0.446; 0.464; 0.644; 0.664

c) 30.000, 30.060, 30.30
Given decimal fractions are 30.000, 30.060, 30.30
First make or check the given fractions are all like fractions or not?
So, 30.000; 30.060; 30.300 are like fractions.
Then, compare the whole numbers. They are same. So, compare, Tenth’s places of the decimal fractions.
30.300 > 30.060 > 30.000
(or) 30.000 < 30.060 < 30.300
Ascending order: 30.000; 30.060; 30.300

AP Board 6th Class Maths Solutions Chapter 5 Fractions and Decimals Ex 5.4

Question 4.
Arrange these numbers in descending order:
16.96; 16.42; 16.3; 16.03; 16.1; 16.99; 16.01
Answer:
Given decimal fractions are
16.96; 16.42; 16.3; 16.03; 16.1; 16.99; 16.01
First make or check the given fractions are all like fractions or not?
So, 16.96; 16.42; 16.30; 16.03; 16.10; 16.99; 16.01 are like fractions.
Then, compare whole numbers. They are same.
So, compare Tenth’s place digits of the decimal fractions.
16.96 < 16.99; 16.42 > 16.30 > 16.10 > 16.03 > 16.01
Then compare hundredth’s place digits.
So, 16.99 > 16.96 > 16.42 > 16.30 > 16.10 > 16.03 > 16.01 (or)
16.01 < 16.03 < 16.10 < 16.30 < 16.42 < 16.96 < 16.99
Descending order: 16.99; 16.96; 16.42; 16.30; 16.10; 16.03; 16.01.

Question 5.
Fill in the blanks by using appropriate symbols >, < or =.
i) 0.005 …… 0.0005
ii) 4.353 …… 4.2
iii) 58.3 …… 58.30
Answer:
i) 0.005 …… 0.0005
First make like decimal fractions
0.0050 …… 0.0005
By comparing Thousandth’s place digits.
So, 0.0050 > 0.0005

ii) 4.353 …… 4.2
First make like decimal fractions.
4.353 …… 4.200
Compare Tenth’s place digits, if whole numbers are same.
So, 4.353 > 4.200

AP Board 6th Class Maths Solutions Chapter 5 Fractions and Decimals Ex 5.4

iii) 58.3 …… 58.30
First make like decimal fractions.
58.30 …… 58.30
In these whole numbers and decimal place digits are same.
So, 58.30 = 58.30

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