What are the principles for the comparability of three-digit
numbers?
(i) The numbers having lower than three digits are all the time smaller than the numbers having three digits as:
100 > 99 , 100 > 9 or 9 < 100 , 99 < 100
125 > 75 , 327 > 59 , 107 > 8 , and so forth.
(ii) If each the numbers have the identical numbers (three) of digits, then the digits on the intense left are in contrast.
(a) If the third digit from the appropriate (Hundred-place digit) of a quantity is larger than the third digit from the appropriate (Hundred-place digit) of the opposite quantity then the quantity having the better third digit from the appropriate, is the better one.
Thus, the quantity having the better digit to its excessive left, is the better one,
as:
913 > 899 , 749 > 698 , 576 > 425
(b) If the numbers have the identical third digits from the
proper, then the digits at ten’s place are in contrast and guidelines to match
two-digit numbers are thought of.
958 > 949 , 876
> 867 , 564 > 559
If digits at Hundred-place and ten’s place are equal, the
guidelines to match single digit numbers are thought of.
958 > 956 , 876
> 875 , 634 > 630
The right way to organize 3-digit numbers in ascending
and descending order:
(i) Arranging the numbers 237, 185, 271, 146, 329 in
ascending order:
The numbers are organized in ascending order 146, 185, 237, 271, 329.
(ii) Arranging the numbers 204, 318, 432, 155, 296 in descending
order:
The numbers are organized in descending order 432, 318, 296, 204, 155.
(iii) Arranging the numbers 471, 295, 311, 163, 239 in
ascending order:
The numbers are organized in ascending order 163, 239, 295, 311, 471.
(iv) Arranging the numbers 374, 198, 282, 351, 461 in descending
order:
The numbers are organized in descending order 461, 374, 351, 282, 198.
Thus, any four-digit
quantity is all the time better than a three-digit quantity.
1000 > 999 , 2000
> 700 , 3150 > 550 , and so forth.
● Numbers are in contrast from left to proper.
● If the
digits are equal at a spot then evaluate the appropriate digit on the subsequent place.
I. Write the proper signal (>, < or =)
(i) 807 ………… 721
(ii) 87 ………… 40
(iii) 597 ………… 848
(iv) 927 ………… 498
(v) 759 ………… 216
(vi) 357 ………… 589
(vii) 444 ………… 444
(viii) 888 ………… 777
(ix) 256 ………… 572
(x) 201 ………… 602
(xi) 346 ………… 346
(xii) 652 ………… 352
II. Write in ascending order:
(i) 50, 20, 10, 40, 70, 60
(ii) 24, 18, 78, 64, 83, 55
(iii) 782, 364, 598, 528, 610, 798
(iv) 368, 316, 552, 225, 749, 493
(v) 537, 400, 163, 662, 225, 897
III. Write in descending order:
(i) 221, 631, 170, 492, 538, 113
(ii) 442, 113, 262, 552, 749, 821
(iii) 105, 90, 172, 450, 552, 339
(iv) 90, 420, 117, 768, 688, 180
(v) 172, 450, 680, 351, 536, 223
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