Exercise 8.1 Exercise 8.2 Exercise 8.3 Exercise 8.4 Exercise 8.5 Exercise 8.6 |

**NCERT Answers for Class 6 Maths Chapter 8 Decimals Exercise 8.1**

**Page 167, 168**

**Ex 8.1 Class 6 Maths Question 1. Write the following as numbers in the given table.**

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

**Answer**

Rows | Hundreds | Tens | Ones | Tenths |

a | 0 | 3 | 1 | 2 |

b | 1 | 1 | 0 | 4 |

**Ex 8.1 Class 6 Maths Question 2. Write the following decimals in the place value table.**

**(a) 19.4 (b) 0.3 (c) 10.6 (d) 205.9**

**Answer**

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 |

**Ex 8.1 Class 6 Maths 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) The decimal form of Seven-tenths is 7 / 10 = 0.7

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

(c) The decimal form of fourteen point six is 14.6

(d) The decimal form of one hundred and two ones is 100 + 2 = 102.0

(e) The decimal form of six hundred point eight is 600.8** **

**Ex 8.1 Class 6 Maths Question 4. Write each of the following as decimals:**

**Answer**

(a) 5/10 = 0.5

(b) 3 + 7/10 = 3 + 0.7 = 3.7

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

= 4 + 2/10 = 4 + 0.2 = 4.2

(g) 3/2 = (2+1) / 2 = 2/2 + 1/2 = 1 + 0.5 = 1.5

(h) 2/5 = 0.4

(i) 12/5 = (10+2)/ 5 = 10/5 + 2/5 = 2 + 0.4 = 2.4

= 3 + 3/5 = 3 + 0.6 = 3.6

= 4 + 1/2 = 4 + 0.5 = 4.5

**Ex 8.1 Class 6 Maths 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) 0.6 = 6 / 10

= 3 / 5

(b) 2.5 = 25 / 10

= 5 / 2

(c) 1.0 = 1

= 1

(d) 3.8 = 38 / 10

= 19 / 5

(e) 13. 7 = 137 / 10

(f) 21.2 = 212 / 10

= 106 / 5

(g) 6.4 = 64 / 10

= 32 / 5

**Ex 8.1 Class 6 Maths 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**

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

(a) 2 mm = 2 / 10 cm

= 0.2 cm

(b) 30 mm = 30 / 10 cm

= 3.0 cm

(c) 116 mm = 116 / 10 cm

= 11.6 cm

(d) 4 cm 2 mm = [(4 + 2 / 10)] cm

= 4.2 cm

(e) 162 mm = 162 / 10 cm

= 16.2 cm

(f) 83 mm = 83 / 10 cm

= 8.3 cm

**Ex 8.1 Class 6 Maths 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) 9.1 (f) 4.9**

**Answer**

(a) 0.8 lies between 0 and 1

0.8 is nearer to 1

(b) 5.1 lies between 5 and 6

5.1 is nearer to 5

(c) 2.6 lies between 2 and 3

2.6 is nearer to 3

(d) 6.4 lies between 6 and 7

6.4 is nearer to 6

(e) 9.1 lies between 9 and 10

9.1 is nearer to 9

(f) 4.9 lies between 4 and 5

4.9 is nearer to 5

**Ex 8.1 Class 6 Maths Question 8. Show the following numbers on the number line.**

**(a) 0.2 (b) 1.9 (c) 1.1 (d) 2.5**

**Answer**

**Ex 8.1 Class 6 Maths Question 9. Write the decimal number represented by the points **

**A, B, C, D on the given**

**number line.**

**Answer**

(a) Point A represents 0.8 cm on the given number line.

(b) Point B represents 1.3 cm on the given number line

(c) Point C represents 2.2 cm on the given number line

(d) Point D represents 2.9 cm on the given number line

**Ex 8.1 Class 6 Maths Question 10. (a) The length of Ramesh’s notebook is 9 cm 5 mm. What will be its length in cm?**

**Answer**

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

The length in cm is [(9 + 5 / 10)] cm = 9 + 0.5 cm

= 9.5 cm

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

**Answer**

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

Hence, the length in cm is 65 / 10

= 6.5 cm

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