SaraNextGen.Com
Updated By SaraNextGen
On March 11, 2024, 11:35 AM

Exercise 8.1 - Chapter 8 Decimals class 6 ncert solutions Maths - SaraNextGen [2024]


Question 1:

Write the following as numbers in the given table.

(a)

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2222/Exercise%20-%208_html_me99f195.jpg

(b)

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2222/Exercise%20-%208_html_m4d455cd7.jpg

Hundreds(100)

Tens

(10)

Ones

(1)

Tenthshttps://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2222/Exercise%20-%208_html_m564dbe9f.gif

       
       

Answer:

It may be observed that

Row

Hundreds

Tens

Ones

Tenths

a.

0

3

1

2

b.

1

1

0

4

Question 2:

Write the following decimals in the place value table.

(a) 19.4 (b) 0.3

(c) 10.6 (d) 205.9

Answer:

Decimal

Hundreds

Tens

Ones

Tenths

19.4

0

1

9

4

0.3

0

0

0

3

10.6

0

1

0

6

205.9

2

0

5

9

Question 3:

Write each of the following as decimals:

(a) Seven-tenths (b) Two tens and nine-tenths

(c) Fourteen point six (d) One hundred and two ones

(e) Six hundred point eight

Answer:

(a) Seven-tenths = https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2227/Exercise%20-%208_html_m12694b59.gif = 0.7

(b) Two tens and nine-tenths = 20 + https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2227/Exercise%20-%208_html_m6d78cbca.gif = 20.9

(c) Fourteen point six = 14.6

(d) One hundred and two ones = 100 + 2 = 102.0

(e) Six hundred point eight = 600.8

Question 4:

Write each of the following as decimals:

(a) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_m5e6bcefd.gif  (b) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_m5d4e363a.gif

(c) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_m37de748.gif  (d) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_438cb406.gif

(e) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_39e5f245.gif  (f) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_m2404e005.gif

(g) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_m47d40970.gif  (h) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_m6f03c315.gif

(i) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_304d0378.gif  (j) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_m21652bd0.gif

(k) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_7107b810.gif

Answer:

(a) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_m474ed7af.gif

(b) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_m6308f1be.gif

(c) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_26fb664a.gif

(d) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_m10309975.gif

(e) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_m65734bdd.gif

(f) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_68453380.gif

(g) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_94bef51.gif

(h) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_5016d607.gif

(i) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_m16230af6.gif

(j) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_360a6d0.gif

(k) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2229/Exercise%20-%208_html_b2f3b2e.gif

Question 5:

Write the following decimals as fractions. Reduce the fractions to lowest form.

(a) 0.6 (b) 2.5 (c) 1.0 (d) 3.8

(e) 13.7 (f) 21.2 (g) 6.4

Answer:

(a) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2233/Exercise%20-%208_html_m7f7cf817.gif

(b) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2233/Exercise%20-%208_html_4f669a2.gif

(c) 1.0 = 1

(d) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2233/Exercise%20-%208_html_79ec9e04.gif

(e) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2233/Exercise%20-%208_html_727aecd0.gif

(f) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2233/Exercise%20-%208_html_m5dff5895.gif

(g) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2233/Exercise%20-%208_html_m5d6b46af.gif

Question 6:

Express the following as cm using decimals.

(a) 2 mm (b) 30 mm

(c) 116 mm (d) 4 cm 2 mm

(e) 162 mm (f) 83 mm

Answer:

It is known that 1cm = 10 mm

(a) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2241/Exercise%20-%208_html_m5527bb9e.gif

(b) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2241/Exercise%20-%208_html_m54dc4995.gif

(c) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2241/Exercise%20-%208_html_7375ba3.gif

(d) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2241/Exercise%20-%208_html_1e362fbf.gif

(e) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2241/Exercise%20-%208_html_ce92f3.gif

(f) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2241/Exercise%20-%208_html_2ac94663.gif

Question 7:

Between which two whole numbers on the number line are the given numbers lie? Which of these whole numbers is nearer the number?

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2246/Exercise%20-%208_html_m3b8bf92.jpg

(a) 0.8 (b) 5.1

(c) 2.6 (d) 6.4

(e) 9.1 (f) 4.9

Answer:

(a) 0.8 lies between 0 and 1, and is nearer to 1.

(b) 5.1 lies between 5 and 6, and is nearer to 5.

(c) 2.6 lies between 2 and 3, and is nearer to 3.

(d) 6.4 lies between 6 and 7, and is nearer to 6.

(e) 9.1 lies between 9 and 10, and is nearer to 9.

(f) 4.9 lies between 4 and 5, and is nearer to 5.

Question 8:

Show the following numbers on the number line.

(a) 0.2 (b) 1.9

(c) 1.1 (d) 2.5

Answer:

(a) 0.2 represents a point between 0 and 1 on number line, such that the

space between 0 and 1 is divided into 10 equal parts. Hence, each equal part will be equal to one-tenth. Now, 0.2 is the second point between 0 and 1.

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2249/Exercise%20-%208_html_22ee40b7.jpg

(b) 1.9 represents a point between 1 and 2 on number line, such that the

space between 1 and 2 is divided into 10 equal parts. Hence, each equal part will be equal to one-tenth. Now, 1.9 is the ninth point between 1 and 2.

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2249/Exercise%20-%208_html_m2ecfb38b.jpg

(c) 1.1 represents a point between 1 and 2 on number line, such that the

space between 1 and 2 is divided into 10 equal parts. Hence, each equal part will be equal to one-tenth. Now, 1.1 is the first point between 1 and 2.

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2249/Exercise%20-%208_html_7b12fe49.jpg

(d) 2.5 represents a point between 2 and 3 on number line, such that the

space between 2 and 3 is divided into 10 equal parts. Hence, each equal part will be equal to one-tenth. Now, 2.5 is the fifth point between 2 and 3.

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2249/Exercise%20-%208_html_m669a731b.jpg

Question 9:

Write the decimal number represented by the points A, B, C, D on the given number line?

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2251/Exercise%20-%208_html_m2963b83d.jpg

Answer:

Point A represents 0.8.

Point B represents 1.3.

Point C represents 2.2.

Point D represents 2.9.

Question 10:

(a) The length of Ramesh’s notebook is 9 cm 5 mm. What will be its length in cm?

(b) The length of a young gram plant is 65 mm. Express its length in cm.

Answer:

(a) The length of Ramesh’s notebook is 9 cm 5 mm.

Therefore, the length in cm ishttps://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2257/Exercise%20-%208_html_m60b0106b.gif

(b) The length of a gram plant is 65 mm.

Therefore, the length in cm ishttps://img-nm.mnimgs.com/img/study_content/curr/1/6/1/8/2257/Exercise%20-%208_html_14ba37e6.gif

Also Read : Exercise-8.2-Chapter-8-Decimals-class-6-ncert-solutions-Maths

SaraNextGen