Comparability of Three-digit Numbers | Prepare 3-digit Numbers |Questions
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How one can examine 3-digit numbers?
1. Examine the numbers 396 and 403.
Technique I: Utilizing the quantity line
We will see that the quantity 403 comes in a while the quantity line than the quantity 396. So, 403 > 396.
Technique II: Utilizing Place Worth
The quantity with the larger digit within the larger place is greater.
The tons of place has 4 within the quantity 403 whereas the tons of place has 3 within the quantity 396.
As 4 > 3, 403 > 396.
2. Examine the numbers 287 and 78.
We all know the quantity with extra variety of digits is all the time larger and the quantity with much less variety of digits is all the time smaller.
Since 287 is a 3-digit quantity and 78 is a 2-digit quantity, 287 > 78
3. Examine the numbers 349 and 372.
Right here, each the digits within the tons of place are the identical. So, we examine the digits within the tens place.
The tens place has 4 within the quantity 349. The tens place has 7 within the quantity 372.
As 4 < 7, 349 < 372.
4. Examine the numbers 486 and 483.
Right here, the digits within the tons of place and the tens place of the 2 numbers are the identical. So, we examine the digits within the ones place.
As 6> 3, 486 > 483.
Word: First, examine the tons of. Then, examine the tens. Lastly, examine those.
What are the foundations 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 on.
(ii) If each the numbers have the identical numbers (three) of digits, then the digits on the acute left are in contrast.
(a) If the third digit from the precise (Hundred-place digit) of a quantity is larger than the third digit from the precise (Hundred-place digit) of the opposite quantity then the quantity having the larger third digit from the precise, is the larger one.
Thus, the quantity having the larger digit to its excessive left, is the larger 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
Arranging 3-Digit Numbers:
How one can prepare 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 larger than a three-digit quantity.
1000 > 999 , 2000
> 700 , 3150 > 550 , and so on.
● Numbers are in contrast from left to proper.
● If the
digits are equal at a spot then examine the precise digit on the subsequent place.
For instance:
1. Prepare the numbers 932, 122, 952, 942 in ascending
order.
First discover the smallest quantity i.e., 122. Now, discover the
smallest quantity from remaining numbers: 932, 952, 942. That’s, 932. Discover the
smaller quantity from 952 and 942 i.e., 942.
The final quantity is the most important: 952.
Subsequently, 122, 932, 942, 952 are organized in ascending
order.
2. Prepare the numbers 113, 184, 838, 648 in descending
order.
First discover the most important quantity i.e., 838. Now, discover the
largest quantity from remaining numbers: 113, 184, 648. That’s, 648.
Discover out the larger quantity from 113 and 184 i.e., 184.
The final quantity is the smallest: 113.
Subsequently, 838, 648, 184, 113 are organized in descending
order.
Questions on Comparability of Three-digit Numbers:
I. Write the right 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
IV. Put <, > or = indicators to match the next
numbers.
(i) 29
………….. 29
(ii) 24
………….. 204
(iii) 111
………….. 11
(iv) 55
………….. 555
(v) 204
………….. 214
(vi) 324
………….. 169
(vii) 673 ………….. 149
(viii) 888
………….. 999
(ix) 213
………….. 231
V. Encircle the smallest quantity within the following units.
(i) 638, 725, 857, 541
(ii) 413, 314, 431, 134
(iii) 201, 211, 111, 101
(iv) 232, 322, 223, 332, 233
VI. Encircle the best quantity within the following units.
(a) 359, 673, 476, 299
(b) 735,573, 375, 537
(c) 20, 202, 222, 22
(d) 545, 554, 445, 454, 455
VII. Prepare the next numbers in ascending order.
(i) 165, 432, 245, 320
(ii) 825, 655, 890, 950
(iii) 580, 575, 543, 640
(iv) 200, 350, 105, 348
(v) 264, 295, 215, 279
(vi) 763, 768, 760, 764
VIII. Prepare the next numbers in descending order.
(i) 242, 282, 232, 211
(ii) 105, 108, 217, 215
(iii) 450, 970, 840, 320
(iv) 540, 980, 760, 580
(v) 847, 826, 890, 984
(vi) 461, 469, 460, 464
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