Page 18 - Math Genius C4

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\\September 30, 2025 9:37 AM Bharat Arora P-9 Reader _________________________ Date: ___________________74

PredeCessor And suCCessor

The predecessor of a number is a number that comes just before the given number.
The predecessor of a number is obtained by subtracting 1 from it.

For example, 48,947 – 1 = 48,946 ; 2,34,564 – 1 = 2,34,563

Clearly, the predecessor of a number is 1 less than the given number.
The successor of a number is a number that comes just after the given number. The
successor of a given number is obtained by
adding 1 to it. Challenge Question

For example, 78,547 + 1 = 78,548; A number has a predecessor

6,85,798 + 1 = 6,85,799 with five digits and a successor Critical Thinking
Clearly, the successor of a number is 1 more with six digits. What number
than the given number. could this be?

example: Write the predecessor and the successor of the following numbers.
(a) 47,129 (b) 87,100 (c) 7,84,071

Solution:

(a) Predecessor of 47,129 = 47,129 – 1 = 47,128
Successor of 47,129 = 47,129 + 1 = 47,130

(b) Predecessor of 87,100 = 87,100 – 1 = 87,099
Successor of 87,100 = 87,100 + 1 = 87,101
(c) Predecessor of 7,84,071 = 7,84,071 – 1 = 7,84,070

Successor of 7,84,071 = 7,84,071 + 1 = 7,84,072

Think Tank Logical Thinking
1. What is the successor of the greatest 5-digit number?
2. How many digits are there in the predecessor of the greatest 6-digit number?

Practice time 1b

1. Write the place value of the underlined digit in the given numbers:

(a) 46975 (b) 70347 (c) 27364
(d) 373640 (e) 436243 (f) 508244
2. express the following numbers in the expanded form:

(a) 47889 (b) 80791 (c) 578914 (d) 800450

3. Write the following numbers in their standard form:
(a) 300000 + 8000 + 900 + 60 (b) 1L + 4TTh + 3Th + 6H + 2T + 9O

(c) 8 × 100000 + 7 × 10000 + 5 × 1000 + 4 × 100 + 2 × 1

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