Decimal Fractions, General Mathematics

Question:Find the products :
         (i)` 2.61 xx 1.3 `
                
         (ii) `2.1693 xx 1.4 `
                
         (iii) `.4 xx .04 xx .004 xx 40` 
Answer(i)` 261 xx 13 =3393`.

 The sum of decimal places of given numbers =`(2 +1)=3`

  :.`2.61 xx 1.3 =3.393`.

 (ii) `21693 xx 14 = 303702`.
 
   Sum of decimal places =`(4 + 1)=6`

  :. `2.1693 xx 1.4 =3.03702`.

 (iii) `4 xx 4 xx 4 xx 40 =2560`.

 Sum of decimal places =`(1 + 2 + 3 )=6`.

 :.`4 xx .04 xx .004 xx 40 =.002560`.

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Question:Given that `268 xx 74 = 19832`, find `2.68 xx .74`. 
AnswerSum of decimal places =`(2 + 2)=4`.
:.`268 xx 74 = 1.9832`.

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Question:Divide :
    (i) `0.63` by `9`
    
   (ii) `0.0204` by `17`
    
   (iii) `3.1603` by `13` 
Answer(i )`63 ÷ 9=7`.

 Dividend contain` 2` places of decimal.
  
 :.`0.63 ÷ 9 = .07`.

 (ii) `204 ÷ 17 =12`.

 Dividend contains `4` places of decimal.
   
 :. `0.0204 ÷ 17 = .0012`.

 (iii) `31603 ÷ 13 = 2431 `.

 Dividend contains `4`places of decimal.
   
 :.`3.1606 ÷ 13 = .2431`.

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Question:(i)` 0.006  ÷ ? =0.6`     (ii) `? ÷ .025 = 80` 
Answer(i) `(0.006)/x = 0.6 or x`

` = (0.006)/(0.6) = (0.006 xx 10)/(0.6 xx 10) `

 `= (0.06)/6 = .01`

 (ii) ` x ÷ .0025 = 40` 0r `x/(.025) =80`.
     
   :. `x =  80 xx .025 = 2`.

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Question:Evaluate :
  (i)` 35 ÷ .07`     

 (ii)` .00066 ÷ 0.11`   

 (iii)` 5.6÷ 0.008` 
Answer(i) ` 35/.07 = (35 xx 100)/(.07 xx 100) = (3500)/7 = 500`.

 (ii) ` (0.00066)/(0.11) = (0.00066 xx 100)/(0.11 xx 100) = (.066)/11 = .006`.

 (iii) ` (5.6)/(0.008) = (5.6 xx 1000)/(0.008 xx 1000) = (5600)/8 = 700`.

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Question:Find the products : (i)` 2.61 xx 1.3 ` (ii) `2.1693 xx 1.4 ` (iii) `.4 xx .04 xx .004 xx 40`

Question:Given that `268 xx 74 = 19832`, find `2.68 xx .74`.

Question:Divide : (i) `0.63` by `9` (ii) `0.0204` by `17` (iii) `3.1603` by `13`

Question:(i)` 0.006 ÷ ? =0.6` (ii) `? ÷ .025 = 80`

Question:Evaluate : (i)` 35 ÷ .07` (ii)` .00066 ÷ 0.11` (iii)` 5.6÷ 0.008`