Students can practice Telangana 6th Class Maths Textbook Solutions Chapter 7 Fractions and Decimals Ex 7.4 to get the best methods of solving problems.

## TS 6th Class Maths Solutions Chapter 7 Fractions and Decimals Exercise 7.4

Question 1.

Fill in the blanks.

i) The fractional form of 0.8 is

ii) The integral part of 15.9 is

iii) The digit in the tenths place of 171.9 is

iv) The place value of 8 in 9.8 is

v) The point between the integral part and the decimal part of the decimal number is called

Answer:

i) \(\frac{8}{10}\)

ii) 15

iii) 9

iv) tenth (or) \(\frac{8}{10}\)

v) decimal point

Question 2.

Write the decimal for each of the following.

i) One hundred twenty five and four tenths

ii) Twenty and two tenths

iii) Eight and six tenths.

Answer:

i) 125.4

ii) 20.2

iii) 8.6

Question 3.

Write the following fractions in the decimal form using the decimal point.

(i) \(\frac{16}{100}\)

Answer:

\(\frac{16}{100}\) = 0.16

(ii) \(\frac{278}{1000}\)

Answer:

\(\frac{278}{1000}\) = 0.278

(iii) \(\frac{6}{100}\)

Answer:

\(\frac{6}{100}\) = 0.06

(iv) \(\frac{369}{100}\)

Answer:

\(\frac{369}{100}\) = 3.69

(v) \(\frac{16}{1000}\)

Answer:

\(\frac{16}{1000}\) = 0.016

(vi) \(\frac{345}{10}\)

Answer:

\(\frac{345}{10}\) = 34.5

(vii) \(\frac{907}{100}\)

Answer:

\(\frac{907}{100}\) = 9.07

Question 4.

Write the place value of each underlined digit. ‘

i) 34.26

ii) 8.88

iii) 0.91

iv) 0.50

v) 3.03

vi) 6.74

Answer:

i) The underlined digit is in ones place. So its place value is 4 x 1 = 4

ii) The underlined digit is in hundredths place. So its place value is \(\frac{8}{100}\)

iii) The underlined digit is in tenths place. So its place value is \(\frac{9}{10}\).

iv) The underlined digit is in tenths place. So its place value is \(\frac{5}{10}\).

v) The underlined digit is in hundredths place. So its place value is \(\frac{3}{100}\).

vi) The underlined digit is in tenths place. So its place value is \(\frac{7}{10}\).

Question 5.

Find greater in the following.

(i) 0 0.2 (or) 0.4

(ii) 70.08 (or) 70.7

(iii) 6.6 (or) 6.58

(iv) 7.4 (or) 7.35

(v) 0.76 (or) 0.8

Answer:

(i) 0.2 or 0.4 2

0.2 = \(\frac{2}{10}\) and 0.4 = \(\frac{4}{10}\)

\(\frac{2}{10}\) means 2 parts out of 10 parts.

\(\frac{4}{10}\) means 4 parts out of 10 parts.

∴ 4 > 2

(i.e) 0.4 > 0.2

(ii) 70.08 (or) 70.7

Whole part of both is 70.

0.08 = \(\frac{8}{100}\); 0.7 = \(\frac{7}{10}=\frac{7 \times 10}{10 \times 10}=\frac{70}{100}\)

0.08 means 8 parts out of 100 parts

0.7 means 70 parts out of 100 parts

∴ 70 > 8

(i.e.,) 70.7 > 70.08

(iii) 6.6 or 6.58

Whole part of both is 6.

0.6 = \(\frac{6}{10}=\frac{6 \times 10}{10 \times 10}=\frac{60}{100}\); 0.58 = \(\frac{58}{100}\)

0.6 means 60 parts out of 100 parts.

0.58 means 58 parts out of 100 parts.

∴ 60 > 58

(i.e.,) 6.6 > 6.58

(iv) 7.4 or 7.35

Whole part of both is 7.

0.4 = \(\frac{4}{10}=\frac{4 \times 10}{10 \times 10}=\frac{40}{100}\); 0.35 = \(\frac{35}{100}\)

0.4 means 40 parts out of 100 parts.

0.35 means 35 parts out of 100 parts.

∴ 40 > 35

(i.e.,) 7.4 > 7.35

(v) 0.76 or 0.8

Whole part of both is zero.

0.76 = \(\frac{76}{100}\); 0.8 = \(\frac{8}{10}=\frac{8 \times 10}{10 \times 10}=\frac{80}{100}\)

0.76 means 76 parts out of 100 parts.

0.8 means 80 parts out of 100 parts.

∴ 80 > 76

(i.e.,) 0.8 > 0.76

Question 6.

Rewrite in ascending order.

i) 0.04, 1.04, 0.14, 1.14

ii) 9.09, 0.99, 1.1, 7

Answer:

i) 0.04,1.04,0.14,1.14

By observation, we can say that

0.04 < 0.14 < 1.04 < 1.14 (ascending order)

ii) 9.09, 0.99, 1.1, 7

By observation, we can say that

0.99 < 1.1 < 7 < 9.09 (ascending order)

Question 7.

Rewrite in descending order

i) 8.6, 8.59, 8.09, 8.8

ii) 6.8, 8.66, 8.06, 8.68

Answer:

i) 8.6,8.59,8.09, 8.8

By observation, we can say that

8.8 > 8.6 > 8.59 > 8.09 (descending order)

ii) 6.8, 8.66, 8.06, 8.68

By observation, we can say that

8.68 > 8.66 > 8.06 > 6.8 (descending order)