Q : 1    Which is greater?

            (a) \small 0.3 or \small 0.4         (b) \small 0.07 or \small 0.02         (c) \small 3 or \small 0.8         (d) \small 0.5 or \small 0.05   (e) \small 1.23  or \small 1.2       (f) \small 0.099 or \small 0.19     

 (g) \small 1.5 or \small 1.50     (h) \small 1.431 or \small 1.490    (i) \small 3.3 or \small 3.300     (j) \small 5.64 or \small 5.603 

Answers (1)

We compare Decimals just like the way we compare normal numbers. First, we see the leftmost digit of the numbers and if they are same then we move toward the right digits. So,

 (a) \small 0.3 or \small 0.4

     0.4 is greater as while number part (the number before the decimal) is the same.    

 (b) \small 0.07 or \small 0.02   

     0.07 is greater    

  (c) \small 3 or \small 0.8   

      3 is greater as the whole part of the numbers are 3 and 0.so obviously 3 is greater than 0.

  (d) \small 0.5 or \small 0.05 

    0.5 is greater                                         

  (e) \small 1.23  or \small 1.2

      1.23 is greater    

  (f) \small 0.099 or \small 0.19 

    0.19 is greater   

  (g) \small 1.5 or \small 1.50 

      As we know that after the decimal, we can add as many zeros as we want in the rightmost to the numbers just like we can add zeroes to the left side of any whole number. this we can do because those zeroes do not carry any value so they don't affect the numbers.

     So.

    They both are the same number.  

  (h) \small 1.431 or \small 1.490 

   1.490 is greater                                   

  (i) \small 3.3 or \small 3.300

     As we know in decimal the RIGHTMOST zeros don't carry any value.so,

     They both are the same number   

  (j) \small 5.64 or \small 5.603 

    5.64 is greater.

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