# NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1

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Textbook | NCERT |

Board | CBSE |

Category | NCERT Solutions |

Class | Class 6 |

Subject | Maths |

Chapter | Chapter 8 |

Chapter Name | Decimals Ex 8.1 |

Number of Questions Solved | 6 |

## NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1

**NCERT TEXTBOOK EXERCISES**

Question 1.

Write the following as numbers in the given table:**(a)**

**(b)**

Hundreds(100) | Tens(10) | Ones(1) | Tenths(110) |

**Solution.**

Hundreds(100) | Tens(10) | Ones(1) | Tenths(110) | |

(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

**10.6**

(c)

(c)

**205.9**

(d)

(d)

**Solution.**

Hundreds | Tens | Ones | Tenths | |

(a) | 0 | 1 | 9 | 4 |

(b) | 0 | 0 | 0 | 3 |

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

(d) | 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

**Solution.**

**(a)** 7 tenths : 7/10 =0.7.**(b)** Two tens and nine-tenths = 20 + 9/10 =20.9**(c)** Fourteen point six = 14.6**(d)** One hundred and two-ones =100 + 2=102**(e)** Six hundred point eight = 600.8

**Question 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) **4 2/10**(g) **3/2**(h) **2/5**(i) **12/5**(j) **3 3/5**(k) **4 1/2

Solution.

**Question 5. Write the following decimals as fractions. Reduce the fractions to lowest form :**

(a) 0.6

(b) 205

(c) 1.0

(d) 3.8

(e) 13.7

(f) 21.2

(g) 6.4

**Solution.**

**(a)** $0.6=\frac { 6 }{ 10 } =\frac { 6\div 2 }{ 10\div 5 }$

âˆµ H.C.F.(6,10) = 2

= 3/5

**(b)**

$2.5=\frac { 25 }{ 10 } =\frac { 25\div 5 }{ 10\div 5 }$

âˆµ H.C.F.(25,10) = 5

= 5/2

**(c)**

$1.5=\frac { 10 }{ 10 } =\frac { 10\div 10 }{ 10\div 10 }$

âˆµ H.C.F.(10,10) = 10

= 1/1 =1

**(d)**

$3.8 =\frac { 38 }{ 10 } =\frac { 38\div 2 }{ 10\div 2 }$

âˆµ H.C.F.(38,10) = 2

= 19/5

**(e)**

$13.7=\frac { 137 }{ 10 }$

**(f)**

$21.2=\frac { 212 }{ 10 } =\frac { 212\div 2 }{ 10\div 5 }$

âˆµ H.C.F.(212,10) = 5

= 106/5

**(g)**

$6.4=\frac { 64 }{ 10 } =\frac { 64\div 2 }{ 10\div 5 }$

âˆµ H.C.F.(64,10) = 2

= 32/5

**Question 6. Express the following as cm using decimals:**

**(a) **2 mm**(b) **30 mm

**116 mm**

(c)

(c)

**4cm 2mm**

(d)

(d)

**11cm 52mm**

(e)

(e)

**83 mm**

(f)

(f)

**Solution.**

**(a)**

2mm=2/10

âˆµ 1mm=1/10

= 0.2cm

**(b)**

30mm=30/10

âˆµ 1mm=1/10

= 3cm = 3.0cm

**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?**

**(a)** 0.8**(b)** 5.1**(c)** 2.6**(d)** 6.4**(e)** 9.0**(f)** 4.9

**Solution.(a)**

**0.8.**The number 0.8 is between the two whole numbers 0 and 1. The whole number 1 is nearer the number 0.8.

**(b)** **5.1.** The number 5.1 is between the two whole numbers 5 and 6. The whole number 5 is nearer the number 5.1.

**(c) 2.6.** The number 2,6 is between the two whole numbers 2 and 3. The whole number 3 is nearer the number 2.6.

**(d)** 6.4 The number 6.4 is between the two whole numbers 6 and 7. The whole number 6 is nearer the number 6.4.

**(e)** 0. 9.0 itself is a whole number.

**(f)** 4.9. The number 4.9 is between the two whole numbers 4 and 5. The whole number 5 is nearer the number 4.9.

**Question 8. Show the following numbers on the number line:(a)** 2

**(b)**1.9

**(c)**1

**(d)**2.5.

**Solution.**

**(a)** **0.2.** We know that 0.2 is more than zero but less than one. There are 2-tenths in it. Divide the unit length between 0 and 1 into 10 equal parts and take 2 parts as shown below:

**(b)** **1.9.** We know that 1.9 is more than one but less than two. There are 9-tenths inâ€™it. Divide the unit length between 1 and 2 into 10 equal parts and take 9 parts as shown below:

**(c) 1.1.** We know that 1.1 is more than one but less than two. There is one-tenth in it. Divide the unit length between 1 and 2 into 10 equal parts and take 1 part as shown below:

**(d) 2.5.** We know that 2.5 is more than two but less than three. There are 5-tenths in it. Divide the unit length between 2 and 3 into 10 equal parts and take 5 parts as shown below :

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

**Solution.(i) A.** The decimal number represented by the point A is 0.8 as the unit length between 0 and 1 has been divided into 10 equal parts and 8 parts have been taken.

**(ii) B.** The decimal number represented by the point B is 1.3 as the unit length between 1 and 2 has been divided into 10 equal parts and 3 parts have been taken.

**(iii) C.** The decimal number represented by the point C is 2.2 as the unit length between 2 and 3 has been divided into 10 equal parts and 2 parts have been taken.

**(iv) D.** The decimal number represented by the point D is 2.9 as the unit length between 2 and 3 has been divided into 10 equal parts and 9 parts have been taken.

**Question 10.(a)** The length of Rameshâ€™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.

**Solution.**

**(a)** Length of Rameshâ€™s notebook = 9 cm 5mm

## NCERT Solutions for Class 6 Maths Chapter 8 Decimals Ex 8.1 PDF

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