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\\February 16, 2024 1:27 PM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

expanded Form

The expanded form of a number is a way of expressing it as the sum of the place values
of all its digits.

example 4: Express the following numbers in their expanded form:
(a) 2862574 (b) 80287301
Solution: Find the place value of each digit, then add all the place values to get the
required expanded form of the given number.
(a) (b)

tL L tth th H t O C tL L tth th H t O

2 8 6 2 5 7 4 8 0 2 8 7 3 0 1

Place value Place value
4 1
70 0
500 300
2000 7000
60000 80000
200000
800000 0
2000000 80000000

Expanded form of 2862574 Expanded form of 80287301

= 2000000 + 800000 + 60000 = 80000000 + 0 + 200000
+ 2000 + 500 + 70 + 4 + 80000 + 7000 + 300 + 0 + 1
= 80000000 + 200000 + 80000
+ 7000 + 300 + 1
example 5: Write the numerals for each of the following expanded form:

(a) 30000000 + 400000 + 3000 + 400 + 8 Remember
(b) 70000000 + 5000000 + 400000 + 20000 + 7000 + 70 + 2 Writing the numeral

Solution: Combining the place values of the digits, we get for the expanded form
of a number is also
(a) 30000000 + 400000 + 3000 + 400 + 8 = 3,04,03,408 called its short form.
(b) 70000000 + 5000000 + 400000 + 20000 + 7000 + 70 + 2 = 7,54,27,072

PreDecessor anD successor

The number that comes just before a given number is called its predecessor. We subtract
1 from the given number to get its predecessor. Thus, predecessor = Number – 1

For example, the predecessor of 234175 = 234175 – 1 = 234174
The number that comes just after a given number is called its successor.
We add 1 to the given number to get its successor. Thus, successor = Number + 1

For example, the successor of 234175 = 234175 + 1 = 234176

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