# Successor and Predecessor

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

What are the Successor and Predecessor?

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.

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.

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:

Successor of a Whole Number:

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

Thus, the successor of 0 = 0 + 1 = 1,

the successor of 1 = 1 + 1 = 2 and

the successor of 2 = 2 + 1 = 3 and so on.

Predecessor of a Whole Number:

The number obtained by subtracting 1 from a whole number (other than 0) is called the predecessor of that whole number.

Thus, the predecessor of 1 = 1 - 1 = 0

the predecessor of 2 = 2 - 1 = 1 and

the predecessor of 3 = 3 - 1 = 2 and so on.

Note:

1. The whole number 0 does not have a predecessor because 0 - 1 (= -1) is not a whole number.

2. All the whole numbers other than 0 have predecessors which are also whole numbers.

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

Worksheet 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 __________

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

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

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 ............

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

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

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, ............, ............, ............, ............

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

What is the Successor of a Number?

The number that comes just after a given number is called its successor.

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

VIII: Find the successors of each of the following:

(i) 652

(ii) 3600

(iii) 52,498

Solution:

 (i) Successor of 652 = 652 + 1 = 653 (ii) Successor of 3600 = 3600 + 1 = 3601 (iii) Successor of 52,498 = 52,498 + 1 = 52,499

What is the Predecessor of a Number?

The number the comes just before a given number is called its predecessor.

To find the predecessor of a given number, we subtract 1 from the given number.

IX. Find the predecessor of

(i) 350

(ii) 9,900

(iii) 9,54,195

Solution:

 (i) Predecessor of 350 = 350 - 1 = 349 (ii) Predecessor of 9,900 = 9,900 - 1 = 9,899 (iii) Predecessor of 9,54,195 = 9,54,195 - 1 = 9,54,194

X. Write the predecessor of the smallest 7-digit number.

Solution:

The smallest 7-digit number is 1000000.

The predecessor of 1000000 is 999999.

Therefore, the predecessor of the smallest 7-digit number is 999999.

Note: The predecessor of the smallest 7-digit number is the greatest 6-digit number.

XI. On dividing the successor of the greatest 8-digit number by the smallest 4-digit number, we get the quotient

(i) 1000

(ii) 9999

(iii) 100000

(iv) 0

Solution:

The greatest 8-digit number = 99999999

The successor of 99999999 = 100000000

The smallest 4-digit number = 1000

Now divide 100000000 by 1000

100000000 ÷ 1000 = 100000

Correct option is (iii) 100000.

XII. Write the successor and predecessor of

(i) 10008

(ii) 89999

(iii) 100000

Solution:

(i) The successor of 10008 = 10008 + 1 = 10009

The predecessor of 10008 = 10008 - 1 = 10007

(ii) The successor of 89999 = 89999 + 1 = 90000

The predecessor of 89999 = 89999 - 1 = 89998

(iii) The successor of 100000 = 100000 + 1 = 100001

The predecessor of 100000 = 100000 - 1 = 99999

XIII. Fill in the blanks:

(i) The successor of the smallest whole number is __________ .

(ii) The predecessor of the largest two digit number is __________ .

(iii) The predecessor of the smallest natural number is __________ .

XIII. (i) 1

(ii) 98

(iii) 0

XIV: Write the next three successors of the whole numbers after 800999.

Solution:

Successors of 800999 = 800999 + 1 = 801000

Successors of 801000 = 801000 + 1 = 801001

Successors of 801001 = 801001 + 1 = 801002

The next three successors of the whole numbers after 800999 are 801000, 801001, 801002.

XV: Write the successor of the following numbers:

(i) 2997280

(ii) 100005

(iii) 6700999

(iv) 57283289

(v) 2832100

(vi) 3520603

XV: (i) 2997281

(ii) 100006

(iii) 6701000

(iv) 57283290

(v) 2832101

(vi) 3520604

XVI: Write the predecessor of the following numbers:

(i) 10005

(ii) 690008

(iii) 2700834

(iv) 100000

(v) 3225370

(vi) 97600890

XVI: (i) 10004

(ii) 690007

(iii) 2700833

(iv) 99999

(v)
3225369

(vi) 97600889

XVII: Write down four consecutive whole numbers just succeeding 6700890.

XVII: 6700891, 6700892, 6700893, 6700894

XVIII: Write down four consecutive whole numbers just preceding 5932800.

XVIII: 5932799, 5932798, 5932797, 5932796

XIX: Write the whole numbers between 899359 and 899369.

XIX: 899360, 899361, 899362, 899363, 899364, 899365, 899366, 899367, 899368

XX. State True or False.

(i) The smallest 6-digit number is the successor of the largest 5-digit number.

(ii) The predecessor of a 3-digit number can never be a 2-digit number.

(iii) 1000 is the predecessor of 999.

(iv) 80000 is the successor of 79999.

XX. (i) True

(ii) False

(iii) False

(iv) True

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