Page 16 - Start Up Mathematics_5

6. Write the given numbers and their number names in both Indian and International
systems of numeration.

Number Indian system International system

(a) 234544

(b) 3458901

(c) 74533215

(d) 231743822

(e) 506397451

Predecessor and Successor

The successor of a number is obtained by adding 1 to it. For Mental Maths
example, the successor of 1,23,445 is 1,23,445 + 1 = 1,23,446.
What is the predecessor
The predecessor of a number is obtained by subtracting of successor of 3,49,891?
1 from it. For example, the predecessor of 34,213,211 is
34,213,211 – 1 = 34,213,210.

Comparison and Ordering of Numbers

While comparing numbers, remember the following points.

• A number which has more digits is greater. For example, 29,432 > 9,807
• When two numbers have the same number of digits, start comparing from the extreme
left, i.e., the highest place value and then move right to the smaller place values.

For example,
2,45,562 2,45,585 (digits at the lakhs place are same)

2,45,562 2,45,585 (digits at the ten thousands place are same)

2,45,562 2,45,585 (digits at the thousands place are same)
2,45,562 2,45,585 (digits at the hundreds place are same)

2,45,562 2,45,585 (digits at the tens place are different 6 tens < 8 tens)
Thus, 2,45,562 < 2,45,585.

You can even use this shortcut method.
P P P P 
Place the numbers one below the other. Mark a tick for the 2 4 5 5 6 2
same digit and a cross for different digits.
2 4 5 5 8 5
6 < 8

2,45,562 < 2,45,585

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