Successor and Predecessor

The successor and predecessor of a whole number are discussed below:

The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number.

For example, 9,99,99,999 is predecessor of 10,00,00,000 or we can also say 10,00,00,000 is the successor of 9,99,99,999.

Definition of Successor:

The number which comes immediately after a particular number is called its successor.

How to find the successor of a number?

The successor of a whole number is the number obtained by adding 1 to it.

Clearly, the successor of 0 is 1; successor of 1 is 2; successor of 2 is 3 and so on.

$Successor and Predecessor$

We observe that every whole number has its successor.

Number + 1 = Successor

Definition of Predecessor:

The number which comes just before a particular number is called its predecessor.

The predecessor of a whole number is one less than the given number.

How to find the predecessor of a number?

Clearly, the predecessor of 1 is 0; predecessor of 2 is 1; predecessor of 3 is 2 and so on.

The whole number 0 does not have any predecessor.

We observe that every whole number, other than zero, has its predecessor.

Also, if a is the successor of b, then b is the predecessor of a.

Number + 1 = Predecessor

Solved Examples on Successor and Predecessor of a Number:

Find the successor and predecessor of each of the following whole numbers:

(i) 1000

(ii) 11999

(iii) 400099

(iv) 1000001

(v) 99999

Solution:

(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.

$Successor and Predecessor of a Whole Number$

What is Successor and Predecessor of a number?

The Successor and Predecessor of a number are explained using 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 find the predecessor of a number, subtract 1 from the given number.

To find the successor of a number add 1 to the given number.

Difference between Successor and Predecessor:

$Difference between Successor and Predecessor$

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

Solution:

(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

Solution:

(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 Answers on Successor and Predecessor of a Number:

I. Write predecessor and successor of the given number

(i)

Number	Successor
321	322
4567	__________
9876	__________

(ii)

Number	Predecessor
768	767
2010	__________
5642	__________

Answers:

I. (i) 4568, 9877

(ii) 2009, 5641

II. Write the successor of each of the following 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

Answer:

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 each of the following 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

Answer:

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 number that comes just before is called Predecessor.

For example, 55 comes just before 56.

● A number that comes just after any number is called Successor.

For example, 87 comes just after 86.

IV. Write the successors (the number after):

(i) 169 ............

(ii) 372 ............

(iii) 475 ............

(iv) 958 ............

(v) 568 ............

(vi) 872 ............

(vii) 928 ............

(viii) 672 ............

Answer:

IV. (i) 170

(ii) 373

(iii) 476

(iv) 959

(v) 569

(vi) 873

(vii) 929

(viii) 673

V. Write the predecessors (the number before):

(i) ............ 357

(ii) ............ 448

(iii) ............ 785

(iv) ............ 997

(v) ............ 854

(vi) ............ 362

(vii) ............ 999

(viii) ............ 575

Answer:

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

Answer:

VI. (i) 477

(ii) 759

(iii) 923

(iv) 851

(v) 568

(vi) 398

(vii) 625

(viii) 329

(ix) 247

VII. Complete the patterns:

(i) 672, 676, 680, ............, ............, ............, ............

(ii) 840, 860, 880, ............, ............, ............, ............

(iii) 550, 500, 450, ............, ............, ............, ............

(iv) 965, 970, 975, ............, ............, ............, ............

(v) 430, 460, 490, ............, ............, ............, ............

Answer:

VII. Complete 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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