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.

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.

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

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

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