Successor and Predecessor | Successor of a Complete Quantity
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The successor and predecessor of an entire quantity are mentioned beneath:
The quantity that comes simply earlier than a quantity is known as the predecessor. So, the predecessor of a given quantity is 1 lower than the given quantity. Successor of a given quantity is 1 greater than the given quantity.
For instance, 9,99,99,999 is predecessor of 10,00,00,000 or we are able to additionally say 10,00,00,000 is the successor of 9,99,99,999.
Definition of Successor:
The quantity which comes instantly after a selected quantity is known as its successor.
Find out how to discover the successor of a quantity?
The successor of an entire quantity is the quantity obtained by including 1 to it.
Clearly, the successor of 0 is 1; successor of 1 is 2; successor of two is 3 and so forth.
We observe that each complete quantity has its successor.
Quantity + 1 = Successor
Definition of Predecessor:
The quantity which comes simply earlier than a selected quantity is known as its predecessor.
The predecessor of an entire quantity is one lower than the given quantity.
Find out how to discover the predecessor of a quantity?
Clearly, the predecessor of 1 is 0; predecessor of two is 1; predecessor of three is 2 and so forth.
The entire quantity 0 doesn’t have any predecessor.
We observe that each complete quantity, apart from zero, has its predecessor.
Additionally, if a is the successor of b, then b is the predecessor of a.
Quantity + 1 = Predecessor
Solved Examples on Successor and Predecessor of a Quantity:
Discover the successor and predecessor of every of the next complete numbers:
(i) 1000
(ii) 11999
(iii) 400099
(iv) 1000001
(v) 99999
Resolution:
(i) 1000
The successor of 1000 is (1000 + 1) = 1001.
The predecessor of 1000 is (1000 – 1) = 999.
(ii) 11999
The successor of 11999 is (11999 + 1) = 12000.
The predecessor of 11999 is (11999 – 1) = 11998.
(iii) 400099
The successor of 400099 is (400099 + 1) = 400100.
The predecessor of 400099 is (400099 – 1) = 400098.
(iv) 1000001
The successor of 1000001 is (1000001 + 1) = 1000002.
The predecessor of 1000001 is (1000001 – 1) = 1000000.
(v) 99999
The successor of 99999 is (99999 + 1) = 100000.
The predecessor of 99999 is (99999 – 1) = 99998.
What’s Successor and Predecessor of a quantity?
The Successor and Predecessor of a quantity are defined utilizing examples.
PREDECESSOR NUMBER SUCCESSOR
(7148 – 1) 7147 7148 (7148 + 1) 7149
(8950 – 1) 8949 8950 (8950 + 1) 8951
(7620 – 1) 7619 7620 (7620 + 1) 7621
(12499 – 1) 12498 12499 (12499 + 1) 12500
To seek out the predecessor of a quantity, subtract 1 from the given quantity.
To seek out the successor of a quantity add 1 to the given quantity.
Distinction between Successor and Predecessor:
1. Write the successor of the given numbers.
(i) 78,95,226
(ii) 10,00,999
(iii) 49,99,999
(iv) 48,09,826
(v) 8,00,78,593
Resolution:
(i) The successor of 78,95,226 is (78,95,226 + 1) = 78,95,227
(ii) The successor of 10,00,999 is (10,00,999 + 1) = 10,01,000
(iii) The successor of 49,99,999 is (49,99,999 + 1) = 50,00,000
(iv) The successor of 48,09,826 is (48,09,826 + 1) = 48,09,827
(v) The successor of 8,00,78,593 is (8,00,78,593 + 1) = 8,00,78,594
2. Write the predecessor of the given numbers.
(i) 47,89,300
(ii) 89,78,515
(iii) 78,45,000
(iv) 99,30,799
(v) 85,83,221
Resolution:
(i) The predecessor of 47,89,300 is (47,89,300 – 1) = 47,89,299
(ii) The predecessor of 89,78,515 is (89,78,515 – 1) = 89,78,514
(iii) The predecessor of 78,45,000 is (78,45,000 – 1) = 7844999
(iv) The predecessor of 99,30,799 is (99,30,799 – 1) = 99,30,798
(v) The predecessor of 85,83,221 is (85,83,221 – 1) = 85,83,220
Questions and Solutions on Successor and Predecessor of a Quantity:
I. Write predecessor and successor of the given quantity
(i)
Quantity |
Successor |
321 |
322 |
4567 |
__________ |
9876 |
__________ |
(ii)
Quantity |
Predecessor |
768 |
767 |
2010 |
__________ |
5642 |
__________ |
Solutions:
I. (i) 4568, 9877
(ii) 2009, 5641
II. Write the successor of every of the next numbers:
(i) 5673
(ii) 2190
(iii) 2045
(iv) 1044
(v) 3109
(vi) 4005
(vii) 8711
(viii) 1241
(ix) 3019
(x) 7045
(xi) 4565
(xii) 8454
Reply:
II. (i) 5674
(ii) 2191
(iii) 2046
(iv) 1045
(v) 3110
(vi) 4006
(vii) 8712
(viii) 1242
(ix) 3020
(x) 7046
(xi) 4566
(xii) 8455
III. Write the successor of every of the next numbers:
(i) 5200
(ii) 4715
(iii) 8213
(iv) 5249
(v) 2801
(vi) 9236
(vii) 5612
(viii) 2076
(ix) 5912
(x) 8102
(xi) 7564
(xii) 6458
Reply:
III. (i) 5199
(ii) 4714
(iii) 8212
(iv) 5248
(v) 2800
(vi) 9235
(vii) 5611
(viii) 2075
(ix) 5911
(x) 8101
(xi) 7563
(xii) 6457
● A quantity that comes simply earlier than is known as Predecessor.
For instance, 55 comes simply earlier than 56.
● A quantity that comes simply after any quantity is known as
Successor.
For instance, 87 comes simply after 86.
IV. Write the successors (the quantity after):
(i) 169 …………
(ii) 372 …………
(iii) 475 …………
(iv) 958 …………
(v) 568 …………
(vi) 872 …………
(vii) 928 …………
(viii) 672 …………
Reply:
IV. (i) 170
(ii) 373
(iii) 476
(iv) 959
(v) 569
(vi) 873
(vii) 929
(viii) 673
V. Write the predecessors (the quantity earlier than):
(i) ………… 357
(ii) ………… 448
(iii) ………… 785
(iv) ………… 997
(v) ………… 854
(vi) ………… 362
(vii) ………… 999
(viii) ………… 575
Reply:
V. (i) 356
(ii) 447
(iii) 784
(iv) 996
(v) 853
(vi) 361
(vii) 998
(viii) 574
VI. Write the numbers between:
(i) 476 ………… 478
(ii) 758 ………… 760
(iii) 922 ………… 924
(iv) 850 ………… 852
(v) 567 ………… 569
(vi) 397 …………
399
(vii) 624 ………… 626
(viii) 328 ………… 330
(ix) 246 ………… 248
Reply:
VI. (i) 477
(ii) 759
(iii) 923
(iv) 851
(v) 568
(vi) 398
(vii) 625
(viii) 329
(ix) 247
VII. Full the patterns:
(i) 672, 676, 680, …………, …………, …………,
…………
(ii) 840, 860, 880, …………, …………,
…………, …………
(iii) 550, 500, 450, …………, …………,
…………, …………
(iv) 965, 970, 975, …………, …………, …………,
…………
(v) 430, 460, 490, …………, …………, …………,
…………
Reply:
VII. Full the patterns:
(i) 684, 688, 692, 696
(ii) 900, 920, 940, 960
(iii) 400, 350, 300, 250
(iv) 980, 985, 990, 995
(v) 520, 550, 580, 610
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