## NCERT Solutions For Class 6 Maths Chapter 8 Decimals

Here at MentorAtHome, We provide NCERT Solutions For Class 6 Maths Chapter 8 Decimals. NCERT solutions help students to improve their performance, and attain better results. In NCERT Solutions Class 6 Maths Chapter 8 there is 6 exercise.

NCERT Solutions For Class 6 Maths Chapter 8 decimal, will discuss Every fraction with denominator 10 can be written in decimal notation and vice-versa. NCERT Solutions For Class 6 Maths Chapter is important for basic understanding.

### NCERT Solutions For Class 6 Maths Chapter 8 Decimals Exercises 8.1

Class 6th Maths Chapter 8 Solutions ex 8.1

**Q.1. Write the following numbers in the given table.**

Hundreds | Tens | Ones | Tenths |

(100) | (10) | (1) | (1/10) |

Ans:-

Rows | Hundreds | Tens | Ones | Tenths |

a | 0 | 3 | 1 | 2 |

b | 1 | 1 | 0 | 4 |

**Q.2. Write the following decimals in the place value table.****(a) 19.4****(b) 0.3****(c) 10.6****(d) 205.9**

Ans:-

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 |

**Q.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**

Ans:-

(a) Seven-tenths is 7 / 10 = 0.7

(b) two tens and nine tenths is 20 + 9 / 10 = 20.9

(c) Fourteen point six = 14.6

(d) One hundred and two ones

= 1 x 100 + 2 x 1 = 100 + 2 = 102

(e) six hundred point eight is 600.8

**Q.4. Write each of the following as decimals:****(a) 5 / 10****(b) 3 + 7 / 10****(c) 200 + 60 + 5 + 1 / 10****(d) 70 + 8 / 10****(e) 88 / 10**

**(g) 3 / 2****(h) 2 / 5****(i) 12 / 5**

Ans:-**(a) **5 / 10

= 0.5**(b) **3 + 7 / 10

= 3 + 0.7

= 3.7**(c) **200 + 60 + 5 + 1 / 10

= 265 + 0.1

= 265.1**(d)** 70 + 8 / 10

= 70 + 0.8

= 70.8**(e)** 88 / 10

= 80 / 10 + 8 / 10

= 8 + 0.8

= 8.8

(f) 42 / 10

= 4.2**(g) 3 / 2**

Nominators and denominators are multiplied by = 5

3 x 5 / 2 x 5

= 15 / 10

=1. 5**(h) 2 / 5**

Nominators and denominators are multiplied by = 2

2 x 2 / 5 / 2

= 4 / 10

= 0.4**(i) 12 / 5**

Nominators and denominators are multiplied by = 2

12 x 2 / 5 x 2

=24 / 10

=2.4**(j) 18 / 5**

Nominators and denominators are multiplied by = 2

18 x 2 / 5 x 2

= 36 / 10

=3.6**(k) 9 / 2**

Nominators and denominators are multiplied by = 5

9 x 5 / 2 x 5

= 45 / 10

= 4.5

**Q.5. Write the following decimals as fractions. Reduce the fraction to lowest form.****(a) 0.6****(b) 2.5****(c) 1.0****(d) 3.8****(e) 13.7****(f) 21.2****(g) 6.4**

Ans:-

**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**

Ans:-

We know that 1 cm = 10 mm and 1 mm = 1 / 10 cm

**7. Between which two whole numbers on the number line are the given numbers lie?**

**Which of these whole numbers is nearer the number?**

**(a) 0.8****(b) 5.1****(c) 2.6****(d) 6.4****(e) 9.1****(f) 4.9**

Ans:-

(a) 0.8 lies between the whole numbers 0 and 1.

(b) 5.1 lies between the whole numbers 5 and 6.

(c) 2.6 lies between the whole numbers 2 and 3

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

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

(f) 4.9 lies between the whole numbers 4 and 5.

**8. Show the following numbers on the number line.****(a) 0.2****(b) 1.9****(c) 1.1****(d) 2.5**

Ans:-

**Q.9. Write the decimal number represented by the points A, B, C, and D on the given number line.**

Ans:-**(a) **Point A represents 0.8 cm**(b) **Point B represents 1.3 cm**(c)** Point C represents 2.2 cm**(d)** Point D represents 2.9 cm

**Q.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.**

Ans:-**(a) **The length of Ramesh notebook is 9 cm 5 mm

1 mm = 1 / 10 cm

5mm = 5 / 10 cm

The length in cm is [(9 + 5 / 10)] cm

= 9.5 cm**(b)** The length of a gram plant is 65 mm

1 mm = 1 / 10 cm

Hence, the length in cm is 65 / 10

= 6.5 cm

### NCERT Solutions For Class 6 Maths Chapter 8 Decimals Exercises 8.2

NCERT Class 6 Maths Chapter 8 Solutions ex 8.2

**Q.1. Complete the table with the help of these boxes and use decimals to write the number.**

Ans:-

Rows | Ones | Tenths | Hundreds | Numbers |

(a) | 0 | 2 | 6 | 0.26 |

(b) | 1 | 3 | 8 | 1.38 |

(c) | 1 | 2 | 8 | 1.28 |

**Q.2.** **Write the numbers given in the following place value table in decimal form.**

Rows | Hundreds | Tens | Ones | tenths | Hundredths | Thousandths |

100 | 10 | 1 | 1/10 | 1/100 | 1/1000 | |

(a) | 0 | 0 | 3 | 2 | 5 | 0 |

(b) | 1 | 0 | 2 | 6 | 3 | 0 |

(c) | 0 | 3 | 0 | 0 | 2 | 5 |

(d) | 2 | 1 | 1 | 9 | 0 | 2 |

(e) | 0 | 1 | 2 | 2 | 4 | 1 |

Ans:-**(a)** 0 Hundreds + 0 Tens + 3 Ones + 2 Tenths + 5 Hundredths + 0 Thousandths** **0 + 0 + 3 + 2 / 10 + 5 / 100 + 0

= 3 + 0.2 + 0.05

= 3.25**(b)** 1 Hundreds + 0 Tens + 2 Ones + 6 Tenths + 3 Hundredths + 0 Thousandths

100 + 0 + 2 + 6 / 10 + 3 / 100 + 0

= 102 + 0.6 + 0.03

= 102.63**(c)** 0 Hundreds + 3 Tens + 0 Ones + 0 Tenths + 2 Hundredths + 5 Thousandths

0 + 30 + 0 + 0 + 2 / 100 + 5 / 1000

= 30 + 0.02 + 0.005

= 30.025**(d)** 2 Hundreds + 1 Tens + 1 Ones + 9 Tenths + 0 Hundredths + 2 Thousandths

200 + 10 + 1 + 9 / 10 + 0 + 2 / 1000

= 211 + 0.9 + 0.002

= 211.902**(e) **0 Hundreds + 1 Tens + 2 Ones + 2 Tenths + 4 Hundredths + 1 Thousandths

0 + 10 + 2 + 2 / 10 + 4 / 100 + 1 / 1000

= 12 + 0.2 + 0.04 + 0.001

= 12.241

**Q.3. Write the following decimals in the place value table.****(a) 0.29** ** (b) 2.08****(c) 19.60** **(d) 148.32****(e) 200.812**

Ans:-**(a) 0.29**

=0 + 0.2 + 0.09

=0 + 2 / 10 + 9 / 100

0 Ones + 2 Tenths + 9 Hundredths **(b) 2.08**

= 2 + 0.0 + 0.08

= 2 + 0 / 10 + 8 / 100

2 Ones + 0 Tenths + 8 Hundredths**(c) 19.60**

= 10 + 9 + 0.6 + 0.00

= 10 + 9 + 6 / 10 + 0 / 100

1 Tens + 9 Ones + 6 Tenths + 0 Hundredths**(d) 148.32**

= 100 + 40 + 8 + 0.3 + 0.02

= 100 + 40 + 8 + 3 / 10 + 2 / 100

1 Hundred + 4 Tens + 8 Ones + 3 Tenths + 2 Hundred**(e) 200.812**

= 200 + 0.8 + 0.01 + 0.002

=200 + 8 / 10 + 1 / 100 + 2 / 1000

2 Hundreds + 8 Tenths + 1 Hundredth + 2 Thousandths

Hundreds | Tens | Ones | Tenths | Hundredths | Thousandths | |

(a) | 0 | 0 | 0 | 2 | 9 | 0 |

(b) | 0 | 0 | 2 | 0 | 8 | 0 |

(c) | 0 | 1 | 9 | 6 | 0 | 0 |

(d) | 1 | 4 | 8 | 3 | 2 | 0 |

(e) | 2 | 0 | 0 | 8 | 1 | 0 |

**Q.4. Write each of the following as decimals.****(a) 20 + 9 + 4 / 10 + 1 / 100****(b) 137 + 5 / 100****(c) 7 / 10 + 6 / 100 + 4 / 1000****(d) 23 + 2 / 10 + 6 / 1000****(e) 700 + 20 + 5 + 9 / 100**

Ans:-**(a) 20 + 9 + 4 / 10 + 1 / 100**

= 29 + 0.4 + 0.01

= 29.41**(b) 137 + 5 / 100**

= 137 + 0.05

= 137.05**(c) 7 / 10 + 6 / 100 + 4 / 1000**

= 0.7 + 0.06 + 0.004

=0.764**(d) 23 + 2 / 10 + 6 / 1000**

= 23 + 0.2 + 0.006

= 23.206**(e) 700 + 20 + 5 + 9 / 100**

= 725 + 0.09

= 725.09

**Q.5. Write each of the following decimals in words.****(a) 0.03** ** (b) 1.20****(c) 108.56** **(d) 10. 07****(e) 0.032** **(f) 5.008**

Ans:-

(a) 0.03 = Zero point zero three

(b) 1.20 = One point two zero

(c) 108.56 = One hundred eight point fifty-six

(d) 10.07 = Ten point zero seven

(e) 0.032 = Zero point zero three two

(f) 5.008 = Five point zero zero eight

**6. Between which two numbers in tenths place on the number line does each of the given number lie?(a) 0.6**0 **(b) 0.45****(c) 0.19** **(d) 0.66****(e) 0.92** **(f) 0.57**

Ans:-

(a) 0.06 lies between 0 and 0.1

(b) 0.45 lies between 0.4 and 0.5

(c) 0.19 lies between 0.1 and 0.2

(d) 0.66 lies between 0.6 and 0.7

(e) 0.92 lies between 0.9 and 1.0

(f) 0.57 lies between 0.5 and 0.6

**7. Write as fractions in lowest terms.****(a) 0.60** **(b) 0.05****(c) 0.75** **(d) 0.18****(e) 0.25** **(f) 0.125****(g) 0.066**

Ans:-**(a) **0.60** **= 60 / 100

= 6 / 10 = 3 / 5**(b)** 0.05 = 5 / 100

= 1 / 20**(c)** 0.75 = 75 / 100

= 3 / 4**(d)** 0.18 = 18 / 100

= 9 / 50**(e)** 0.25 = 25 / 100

= 1 / 4**(f)** 0.125 = 125 / 1000

= 1 / 8**(g)** 0.066 = 66 / 1000

= 33 / 500

### NCERT Solutions For Class 6 Maths Chapter 8 Decimals Exercises 8.3

Ch 8 Class 6 Maths Solutions ex 8.3

**Q.1. Which is greater?****(a) 0.3 or 0.4** **(b) 0.07 or 0.02****(c) 3 or 0.8** **(d) 0.5 or 0.05****(e) 1.23 or 1.2** **(f) 0.099 or 0.19****(g) 1.5 or 1.50** **(h) 1.431 or 1.490****(i) 3.3 or 3.30**0 **(j) 5.64 or 5.603**

Ans:-**(a) 0.3 or 0.4**

= 3 / 10 and 4 / 10

denominator are same

∴ 3 < 4

∴ 0.3 < 0.4**(b) 0.07 or 0.02**

= 7 / 100 and 2 / 100

denominator are same

∴ 7 > 2

∴ 0.07 > 0.02**(c) 3 or 0.8**

3 is greater than 0 and 0 > 0.8

∴ 3 is greater than 0.8.

∴ 3 > 0.8**(d) 0.5 or 0.05**

50 / 100 and 5 / 100

denominator are same

∴ 50 > 5

∴ 0.5 > 0.05**(e) 1.23 or 1.2**

123 / 100 and 120 / 100

denominator are same

∴ 123 > 120

∴ 1.23 > 1.2**(f) 0.099 or 0.19**

99 / 1000 and 190 / 1000

denominator are same

∴ 99 < 190

∴ 0.099 < 0.19**(g) 1.5 or 1.50**

150 / 100 and 150 / 100

denominator are same

∴ 150 = 150

∴ 1.5 =1.50**(h) 1.431 or 1.490**

1431 / 1000 and 1490 / 1000

denominator are same

∴ 1431 < 1490

∴ 1.431 < 1.490**(i) 3.3 or 3.30**0

3300 / 1000 and 3300 / 1000

denominator are same

∴ 3300 = 3300

∴ 3.3 = 3.300**(j) 5.64 or 5.603**

5640 / 1000 and 5603 / 1000

denominator are same

∴ 5640 > 5603

∴ 5.64 > 5.603

**Q.2. Make five more examples and find the greater number from them.**

Ans:-**(a) 31.54 or 31.5**

3155 / 100 and 3150 / 100

3155 > 3150

∴ 3.54 > 31.5**(b) 1 or 0.99**

100 / 100 and 99 / 100

100 > 99

∴ 1 > 0.99

(**c) 1.09 or 1.091**

1090 / 1000 and 1091 / 1000

∴ 1090 <1091

∴ 1.09 < 1.091**(d) 2 or 1.99**

200 / 100 and 199

∴ 200 > 199

∴ 2 > 1.99**(e) 2.07 or 2.083**

2070 / 1000 and 2083

∴ 2070 <2083

∴ 2.07 < 2.083

### NCERT Solutions For Class 6 Maths Chapter 8 Decimals Exercises 8.4

NCERT Class 6 Maths Chapter 8 Solutions Ex 8.4

**Q.1. Express as rupees using decimals.****(a) 5 paise** **(b) 75 paise****(c) 20 paise** **(d) 50 rupees 90 paise****(e) 725 paise**

Ans:-

We know that there are 1 rupee = 100 paise**(a) 5 paise**

100 paise =1 rupee

1 paise = 1 / 100 rs

5 paise =1 x 5 / 100

= 0.05 Rupess**(b) 75 paise**

100 paise =1 rupee

1 paise = 1 / 100 rs

75 paise =1 x 75 / 100

= 0.75 Rupess**(c) 20 paise**

100 paise =1 rupee

1 paise = 1 / 100 rs

20 paise =1 x 20 / 100

= 0.20 Rupess**(d) 50 rupees 90 paise**

= [(50 + 90 / 100)] rupees

= 50.90 Rupees **(e) 725 paise**

100 paise =1 rupee

1 paise = 1 / 100 rs

725 paise =1 x 725 / 100

= 7.25 Rupess

**Q.2. Express as meters using decimals.****(a) 15 cm** **(b) 6 cm****(c) 2 m 45 cm** **(d) 9 m 7 cm****(e) 419 cm**

Ans:-

We know that there are 1 meter = 100 cm**(a) 15 cm**

100 cm = 1 meter

1 cm = 1 / 100 m

15 cm 1 x 15 / 100

= 0.15 m.**(b) 6 cm**

100 cm = 1 meter

1 cm = 1 / 100 m

6 cm 1 x 6 / 100

= 0.06 m.**(c) 2 m 45 cm**

=[(2 + 45 / 100)] m

= 2.45 m**(d) 9 m 7 cm**

=[(9 + 7 / 100)] m

= 9.07 m**(e) 419 cm**

100 cm = 1 meter

1 cm = 1 / 100 m

419 cm 1 x 419 / 100

= 4.19 m.

**Q.3. Express as cm using decimals****(a) 5 mm** **(b) 60 mm****(c) 164 mm** **(d) 9 cm 8 mm****(e) 93 mm**

Ans:-

We know that there are 10 mm in 1 cm**(a) 5 mm**

10 mm = 1 cm

1 mm = 1 / 10 cm

5 mm =1 x 5 / 10

= 0.5 cm**(b) 60 mm**

10 mm = 1 cm

1 mm = 1 / 10 cm

60 mm =1 x 60 / 10

= 6 cm**(c) 164 mm**

10 mm = 1 cm

1 mm = 1 / 10 cm

164 mm =1 x 164 / 10

= 16.4 cm**(d) 9 cm 8 mm**

= [(9 + 8 / 10)] cm

= 9.8 cm**(e) 93 mm**

10 mm = 1 cm

1 mm = 1 / 10 cm

93 mm =1 x 93 / 10

= 9.3 cm

**Q.4. Express as km using decimals.****(a) 8 m** **(b) 88 m****(c) 8888 m** **(d) 70 km 5 m**

Ans:-

We know that there are 1000 meters in 1 km**(a) 8 m**

1000 m = 1 km

1 m = 1 / 1000 km

8 m = 1 x 8 / 1000

= 0.008 km**(b) 88 m**

1000 m = 1 km

1 m = 1 / 1000 km

88 mm = 1 x 88 / 1000

= 0.088 km**(c) 8888 m**

1000 m = 1 km

1 m = 1 / 1000 km

8888 mm = 1 x 8888 / 1000

= 8.888 km**(d) 70 km 5 m**

= [(70 + 5 / 1000)] km

= 70.005 km

**Q.5. Express as kg using decimals.****(a) 2 g** **(b) 100 g****(c) 3750 g** ** (d) 5 kg 8 g****(e) 26 kg 50 g**

Ans:-

We know that there are 1000 grams in 1 kg**(a) 2 g**

1000 g = 1 kg

1 g = 1 / 1000 kg

2 g = 1 x 2 / 1000

= 0.002 kg**(b) 100 g**

1000 g = 1 kg

1 g = 1 / 1000 kg

100 g = 1 x 100 / 1000

= 0.1 kg**(c) 3750 g**

1000 g = 1 kg

1 g = 1 / 1000 kg

3750 g = 1 x 3750 / 1000

= 3.750 kg**(d) 5 kg 8 g**

= [(5 + 8 / 1000)] kg

= 5.008 kg**(e) 26 kg 50 g**

= [(26 + 50 / 1000)] kg

= 26.050 kg

### NCERT Solutions For Class 6 Maths Chapter 8 Decimals Exercises 8.5

Class 6th Maths Chapter 8 solutions Ex 8.5

**Q.1. Find the sum in each of the following:****(a) 0.007 + 8.5 + 30.08****(b) 15 + 0.632 + 13.8****(c) 27.076 + 0.55 + 0.004****(d) 25.65 + 9.005 + 3.7****(e) 0.75 + 10.425 + 2****(f) 280.69 + 25.2 + 38**

Ans:-**(a) **Sum of 0.007 + 8.5 + 30.08

**(b)** Sum of 15 + 0.632 + 13.8

**(c)** Sum of 27.076 + 0.55 + 0.004

**(d)** Sum of 25.65 + 9.005 + 3.7

**(e)** Sum of 0.75 + 10.425 + 2

**(f)** Sum of 280.69 + 25.2 + 38

**Q.2. Rashid spent ₹ 35.75 on** Maths book and ₹ 32.60 on** Science book. Find the total amount spent by Rashid.**

Ans:-

Cost of Maths book = ₹ 35.75

Cost of Science book = ₹ 32.60

The total amount spent by Rashid is

**Q.3. Radhika’s mother gave her ₹ 10.50 and her father gave her ₹ 15.80, find the total amount given to Radhika by the parents.**

Ans:-

The amount is given by Radhika’s mother = ₹ 10.50

The amount is given by Radhika’s father = ₹ 15.80

The total amount given by her parents

**Q.4. Nasreen bought 3 m 20 cm cloth for her shirt and 2 m 5 cm cloth for her trouser. Find the total length of cloth bought by her.**

Ans:-

Cloth of shirt = 3 m 20 cm

Cloth of trouser = 2 m 5 cm

The total length of cloth is

**Q.5. Naresh walked 2 km 35 m in the morning and 1 km 7 m in the evening. How much distance did he walk in all?**

Ans:-

Distance walked by Naresh in the morning = 2 km 35 m

= [(2 + 35 /1000)] km

= 2.035 km.

Distance walked by him in the evening = 1 km 7 m

= [(1 + 7 / 1000)] km

= 1.007 km

∴ Total distance walked by him in all

**Q.6. Sunita traveled 15 km 268 m by bus, 7 km 7 m by car, and 500 m on foot in order to reach her school. How far is her school from her residence?**

Ans:-

Distance travelled by Sunita by bus= 15 km 268 m

= [(15 + 268 / 1000)]

= 15.268 km

Distance travelled by her by car= 7 km 7 m

= [(7 + 7 / 1000)] km

= 7.007 km

Distance walked by Sunita = 500 m

= 500 / 1000

= 0.500 km

Total distance of school from her residence is

**Q.7. Ravi purchased 5 kg 400 g rice, 2 kg 20 g sugar and 10 kg 850 g flour. Find the total weight of his purchases.**

Ans:-

Weight of rice = 5 kg 400 g

= [(5 + 400 / 1000)] kg

= 5.400 kg

Weight of sugar = 2 kg 20 g

= [(2 + 20 / 1000)] kg

= 2.020 kg

Weight of flour = 10 kg 850 g

= [(10 + 850 / 1000)] kg

= 10.850 kg

Total weight of his purchases is

### NCERT Solutions For Class 6 Maths Chapter 8 Decimals Exercises 8.6

Ch 8 Class 6 Maths Solutions Ex 8.6

**Q.1. Subtract:****(a) ₹ 18.25 from ₹ 20.75****(b) 202.54 m from 250 m****(c) ₹ 5.36 from ₹ 8.40****(d) 2.051 km from 5.206 km****(e) 0.314 kg from 2.107 kg**

Ans:-**(a) ₹ 20.75 – ₹ 18.75**

**(b) 250 m – 202.54 m**

**(c) ₹ 8.40 – ₹ 5.36**

**(d) 5.206 km – 2.051 km**

(**e) 2.107 kg – 0.314 kg**

**Q.2. Find the value of:****(a) 9.756 – 6.28****(b) 21.05 – 15.27****(c) 18.5 – 6.79****(d) 11.6 – 9.847**

Ans:-**(a) 9.756 – 6.28**

**(b) 21.05 – 15.27**

**(c) 18.5 – 6.79**

**(d) 11.6 – 9.847**

**Q.3. Raju bought a book for ₹ 35.65. He gave ₹ 50 to the shopkeeper. How much money did he get back from the shopkeeper?**

Ans:-

Cost of book = ₹35.65

Money paid by him to the shopkeeper = ₹50

∴ Money got back by him

**Q.4. Rani had ₹ 18.50. She bought one ice cream for ₹ 11.75. How much money does she have now?**

Ans:-

Money with Rani = ₹ 18.50

Price of an ice cream = ₹ 11.75

money left with rani is

**Q.5. Tina had 20 m 5 cm long cloth. She cuts 4 m 50 cm length of cloth from this for making a curtain. How much cloth is left with her?**

Ans:-

Length of cloth = 20 m 5 cm = 20.05 m

Length of cloth to make a curtain = 4 m 50 cm = 4.50 m

Length of cloth left with her

**Q.6. Namita travels 20 km 50 m every day. Out of this, she travels 10 km 200 m by bus and the rest by auto. How much distance does she travel by auto?**

Ans:-

Distance traveled by Namita = 20 km 50 m or 20.050 km

Distance traveled by bus = 10 km 200 m or 10.200 km

Distance traveled by auto =

∴ Namita traveled 9.850 km by auto

**Q.7. Aakash bought vegetables weighing 10 kg. Out of this, 3 kg 500 g is onions, 2 kg 75 g is tomatoes and the rest is potatoes. What is the weight of the potatoes?**

Ans:-

Weight of vegetables bought by Aakash = 10 kg

Weight of onions bought by him = 3 kg 500 g = 3.500 kg

and weight of tomatoes bought by him = 2 kg 75 g = 2.075 kg

∴ Weight of potatoes = Weight of vegetable – (weight of onions + weight of tomatoes) 10.000 – (3.500 + 2.075)

∴ 4.425 kg is the weight of the potatoes

Class 6 Science NCERT Notes | Class 6 Complete Study Material |

NCERT Solutions for Class 6 Science | Class 6 Maths Chapter 6 Solutions |

NCERT Solutions For Class 6 Maths Chapter 8 decimal are based on NCERT Books. You can download ncert book for class 6 maths chapter 8. Ch 8 class 6 maths solutions are designed by our subject expert team.

## What We Learn?

- To understand the parts of one whole (i.e. a unit) we represent a unit by a block. One

block divided into 10 equal parts means each part is1/10(one-tenth) of a unit. It can

be written as 0.1 in decimal notation. The dot represents the decimal point and it

comes between the units place and the tenths place. - Every fraction with denominator 10 can be written in decimal notation and vice-versa.
- One block divided into 100 equal parts means each part is 1/100(one-hundredth) of

a unit. It can be written as 0.01 in decimal notation. - Every fraction with denominator 100 can be written in decimal notation and

vice-versa. - In the place value table, as we go from left to the right, the multiplying factor becomes 1/10 of the previous factor. The place value table can be further extended from hundredths to 1/10 of hundredths i.e. thousandths 1/1000 which is written as 0.001 in decimal notation.

- All decimals can also be represented on a number line.
- Every decimal can be written as a fraction.
- Any two decimal numbers can be compared among themselves. The comparison can

start with the whole part. If the whole parts are equal then the tenth parts can be

compared and so on. - Decimals are used in many ways in our lives. For example, in representing units of

money, length and weight.

### What are decimals used for?

We use decimals every day while dealing with money, weight, length, etc. Decimal numbers are used in situations where more precision is required than the whole numbers can provide.

### What is the difference between fractions and decimals?

The main difference between the fraction and decimals is that fraction represents a ratio between two, while decimals can also be used for writing infinite values and for more precision.

### What are the four operations of decimals?

You should become efficient in using the four basic operations involving decimals—addition, subtraction, multiplication, and division.