Question 1: Convert each of the following fractions into a decimal:
(i) (ii) (iii) (iv) (v) (vi)
Answer:
(i) (ii) (iii)
(iv) (v) (vi)
Question 2: Round off:
(i) , correct to decimal places
(ii) , correct to decimal places
(iii) , correct to decimal places
(iv) , correct to decimal places
Answer:
(i) , correct to decimal places
(ii) , correct to decimal places
(iii) , correct to decimal places
(iv) , correct to decimal places
Question 3: Express each of the following as a decimal correct to 3 decimal places :
(i) (ii) (iii) (iv)
Answer:
(i) (ii) (iii) (iv)
Question 4: Express each of the following as a recurring decimal. State in each case, whether it is a pure or a mixed recurring decimal:
(i) (ii) (iii) (iv)
Answer:
(i) ̇This is a mixed recurring decimal.
(ii) This is a pure recurring decimal.
(iii) This is a pure recurring decimal.
(iv) This is a pure recurring decimal.
Question 5: Convert each of the following decimals into a fraction :
(i) latex 0.0875 (iii) latex 4.096
Answer:
(i)
(ii)
(iii)
(iv)
Question 6: Express each of the following decimals as a rational number:
(i) (ii) (iii) (iv) (v) (vi)
Answer:
(i)
Let

(ii) Let

(iii)
Let

(iv)
Let

(v)
Let

(vi)
Let

$latex \\ $
Question 7: Write the following fractions in descending order by converting them into decimals:
(i)
(ii)
Answer:
(i)
Now arranging in descending order:
(ii)
Now arranging in descending order:
Question 8: Find the H. C.F. and L.C.M. of:
(i) (ii) (iii) (iv)
Answer:
(i)
Convert the numbers into like decimals i.e.
First find HCF and LCM of , and
HCF
LCM
Therefore HCF and LCM of 5, and is and respectively.
(ii)
Convert the numbers into like decimals. i.e.
First find HCF and LCM of , and
HCF
LCM
Therefore the HCF and LCM of and is and respectively.
(iii)
Convert the numbers into like decimals
Find HCF and LCM of and
HCF
LCM
Therefore the HCF and LCM of and is and respectively.
(iv)
Convert the numbers into like decimals i.e.
Then find the HCF and LCM of and
HCF
LCM
Therefore the HCF and LCM of and is and