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Question

Fill in the blanks by using > or < to complete the following:

(i) 25.35....8.47
(ii) 20.695...20.93
(iii) 0.39...0.72
(iv) 0.109...0.83
(v) 0.236...0.201
(vi) 0.93...0.99

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Solution

(i) 25.35 > 8.47
Here, the whole part 23 > 8.

(ii) 20.695 < 20.93
Here, the whole parts are equal. Hence, we should check the tenth parts. Now, 9 is greater than 6.
Therefore, 20 + 6/10 +9/100 +5/1000 < 20 + 9/10 + 3/100.

(iii) 0.39 < 0.72
Here, the whole parts are 0. Hence, we should check the tenth parts. Now, 3<7.
Therefore, 3/10 +9/100 < 7/10 + 2/100.

(iv) 0.109 < 0.83
Here, the whole parts are 0. Hence, we should check the tenth parts. Now, 1<8.
Therefore, 1/10 +9/1000 < 8/10 + 3/100.

(v) 0.236 > 0.201
Here, the whole parts are 0. Hence, we should check the tenth parts in the two numbers, which are again equal.
So, we should now check the hundredth digit, 3 > 0.
Therefore, 2/10 +3/100 +6/1000 > 2/10 +0/100 +1/1000.


(vi) 0.93 < 0.99
Here, the whole parts are 0. Hence, we should check the tenth parts, which are again equal.
So, we should now check the hundredth digit, 3< 9.
Therefore, 9/10 + 3/100 < 9/10+9/100.

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