Punjab State Board PSEB 6th Class Maths Book Solutions Chapter 6 Decimals Ex 6.1 Textbook Exercise Questions and Answers.

## PSEB Solutions for Class 6 Maths Chapter 6 Decimals Ex 6.1

1. Write each of the following in figures:

Question (i)

Seventy-two point one four.

Solution:

Seventy-two point one four = 72.14

Question (ii)

Two hundred fifty-seven point zero eight

Solution:

Two hundred fifty-seven point zero eight = 257.08

Question (iii)

Eight point two five-six.

Solution:

Eight point two five six = 8.256

Question (iv)

Forty-five and twenty-three hundredths.

Solution:

Forty five and twenty three hundredths

= 45 + \(\frac {23}{100}\)

= 45.23

Question (v)

Six hundred twenty-one and two hundred fifty-three thousandths

Solution:

Six hundred twenty-one and two hundred fifty-three thousandths

= 621 + \(\frac {253}{1000}\)

= 621.253

Question (vi)

Twelve and eight thousandths.

Solution:

Twelve and eight thousandths

= 12 + \(\frac {8}{1000}\)

= 12.008

2. Write the following decimal numbers in words:

Question (i)

12.52

Solution:

12.52 = Twelve point five two or twelve and fifty-two hundredths.

Question (ii)

7.148

Solution:

7.148 = Seven point one four eight or seven and one hundred forty-eight thousandths.

Question (iii)

0.24

Solution:

0.24 = Zero Point two four or twenty-four hundredths.

Question (iv)

5.018

Solution:

5.018 = Five-point zero one eight or five and eighteen thousandths.

Question (v)

.009.

Solution:

.009 = Point zero zero nine or nine thousandths.

3. Write the following decimals in the place value table:

Question (i)

(i) 21.569

(ii) 0.64

(iii) 3.51

(iv) 14.087

(v) 3.002.

Solution:

Number | Thousands | Hundreds | Tens | Ones | Tenths | Hundredths | Thousandths |

1. 21.569 | – | – | 2 | 1 | 5 | 6 | 9 |

2. 0.64 | – | – | – | 0 | 6 | 4 | – |

3. 3.51 | – | – | – | 3 | 5 | 1 | – |

4. 14.087 | – | – | 1 | 4 | 0 | 8 | 7 |

5. 3.002 | – | – | – | 3 | 0 | 0 | 2 |

4. Write the following as decimals:

Question (i)

40 + \(\frac {2}{10}\)

Solution:

40 + \(\frac {2}{10}\) = 40.2

Question (ii)

700 + 5 + \(\frac {3}{10}\) + \(\frac {4}{100}\)

Solution:

700 + 5 + \(\frac {3}{10}\) + \(\frac {4}{100}\) = 705.34

Question (iii)

100 + \(\frac {5}{100}\) + \(\frac {3}{1000}\)

Solution:

100 + \(\frac {5}{100}\) + \(\frac {3}{1000}\) = 10.053

Question (iv)

100 + \(\frac {7}{10}\) + \(\frac {4}{1000}\)

Solution:

100 + \(\frac {7}{10}\) + \(\frac {4}{1000}\) = 0.704

Question (v)

\(\frac {5}{1000}\)

Solution:

\(\frac {5}{1000}\) = 0.005

5. Write the decimals shown in the following place value table:

Question (i)

Thousands | Hundreds | Tens | Ones | Tenth | Hundredths | Thousandths |

– | 5 | 2 | 4 | 1 | 2 | – |

2 | 0 | 3 | 4 | 2 | 1 | – |

– | – | 6 | 1 | 0 | 2 | 3 |

– | – | – | 4 | 0 | 0 | 1 |

– | 1 | 0 | 0 | 0 | 3 |

Solution:

(i) 524.12

(ii) 2034.21

(iii) 61.023

(iv) 4.001

(v) 100.03

6. Expand the following decimals.

Question (i)

2.5

Solution:

2.5 = 2 + 0.5

= 2 + \(\frac {5}{10}\)

Question (ii)

18.43

Solution:

18.43 = 10 + 8 + 0.4 + 0.03

= 10 + 8 + \(\frac {4}{10}\) + \(\frac {3}{100}\)

Question (iii)

4.05

Solution:

4.05 = 4 + 0.05

= 4 + \(\frac {5}{100}\)

Question (iv)

13.123

Solution:

13.123 = 10 + 3 + 0.1 + 0.02 + 0.003

= 10 + 3 + \(\frac {1}{10}\) + \(\frac {2}{100}\) + \(\frac {3}{1000}\)

Question (v)

245.456

Solution:

245.456 = 200 + 40 + 5 + 0.4 + 0.05 + 0.006

= 200 + 40 + 5 + \(\frac {4}{10}\) + \(\frac {5}{100}\) + \(\frac {6}{1000}\)

Question (vi)

20.057

Solution:

20.057 = 20 + 0.05 + 0.007

= 20 + \(\frac {5}{100}\) + \(\frac {7}{1000}\)