1.

Convert the vinkulum number into general number : (i) 3 bar 5(ii) 5 bar 4(iii) 13 bar 2(iv) 5 bar 42(v) 6 bar 23

Answer»

(i) 3 bar 5

Hint : 

(a) Write the parammitra digit 5 of

= 3 bar 5 the positive value of bar 5 Le., 5. 

= \(\underline{3}\)

(b) Put one less sign on poorven of 

= 25 bar 5 i.e„ 3.

(c) Write \(\underline{3}\) = 1 

(d) Thus, we got general number of 3 bar 5 

(ii) 5 bar 4 

Hint : 

= 5 bar 4 (a) Write the parammitra digit 6 of the 

= \(\underline{5}\)6 positive value of i.e. bar 4. 

= 46 

(b) Put one less sign on poorven of bar 4 i.e., 5. 

(c) Write \(\underline{5}\) = 4

(d) Thus, we got general number of 5 bar 4 

(iii) 13 bar 2 

Hint :

13 bar 2 (a) Write the parammitra digit 8 of 

= 1\(\underline{3}\)8 the positive value of i.e., bar 2. 

= 128 

(b) Put one less sign on poorven of bar 2 i.e., 3.

(c) Write \(\underline {3}\) = 2

(d) Thus, we got general number of 13 bar 2. 

(iv) 5 bar 42

Hint : 

= 5 bar 42 (a) Write the parammitra digit of 

\(\underline {5}\)6 bar 2 positive value 4 of (at the tens place) i.e., 6. 

= 46 bar 2 

(b) Put one less sign on poorven of 

= 4\(\underline {6}\)8 bar 4 i.e., 5. 

= 458 

(c) Write \(​\underline {5}​\) = 4 

(d) Write the parammitra digit of positive value 2 of bar 2 (at the ones place) i.e., 8. 

(e) Put one less sign on poorven of bar 2 i.e., 6. 

(f) Write \(​\underline {6}\) = 5

(g) Thus, we got general number of 5 bar 42. 

(v) 6 bar 23 

Hints : 

= 6 bar 23 

(a) Write the parammitra digit of 

= \(​\underline {6}​\)8 bar 3 positive value 2 of bar 2 (at the tens place) i.e., 8. 

= 58 bar 3

= 5\(​\underline {8}\)7 (b) Pat one less sign on poorven of 

= 577 bar 2 i.e., 6. 

(c) Write \(​\underline {6}​\) = 5

(d) Write the parammitra digit of positive value of bar 3 of 3 (at the ones place), i.e., 7. 

(e) Put one less sign on poorven of bar 3 i.e., 8. 

(f) Write \(​\underline {8}​\) = 7

(g) Thus, we got general number of 6 bar 23.



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