Whole Numbers
Exercise 2.1
1). Write the next three natural numbers after 10999.
The next three natural numbers after 10999 are 11000, 11001 and 11002.
2). Write the three whole numbers occurring just before 10001.
The three whole numbers occurring just before 10001 are 10000, 9999, 9998.
3). Which is the smallest whole number?
The smallest whole number is 0.
4). How many whole numbers are there between 32 and 53?
Whole numbers between 32 and 53 are 20.
5). Write the successor of
a). 2440701
b). 100199
c). 1099999
d). 2345670
Answer:
a). 2440701 – 2440702
b). 100199 – 100200
c). 1099999 – 1100000
d). 2345670 – 2345671
6). Write the predecessor of
a). 94
b). 10000
c). 208090
d). 7654321
Answer:
a). 94 – 93
b). 10000 – 9999
c). 208090 – 208089
d). 7654321- 7654320
7). In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also, write them with appropriate sign (<,>) between them.
a). 530, 503
b). 370, 307
c). 98765, 56789
d). 9830415, 10023001
Answer:
a).
503 is on the left of the 530
503 < 530
b).
307 is on the left of the 370
307 < 370
c). 56789 is on the left of the 98765
56789 < 98765
d). 9830415 is on the left of the 10023001
9830415 < 10023001
8). Which of the following statements are true (T) and which are false (F)?
a). Zero is the smallest number.
b). 400 is the predecessor of 399.
c). Zero is the smallest whole number.
d). 600 is the successor of 599.
e). All natural numbers are whole numbers.
f). All whole numbers are natural numbers.
g). the predecessor of a two digit number is never a single digit number.
h). 1 is the smallest whole number.
i). The natural number 1 has no predecessor.
j). The whole number 1 has no predecessor.
k). The whole number13 lies between 11 and 12.
l). The whole number 0 has no predecessor.
m). The successor of a two digit number is always a two digit number.
Answer:
a). Zero is the smallest number.
False.
b). 400 is the predecessor of 399.
False.
c). Zero is the smallest whole number.
True.
d). 600 is the successor of 599.
True.
e). All natural numbers are whole numbers.
True.
f). All whole numbers are natural numbers.
False.
g). The predecessor of a two-digit number is never a single-digit number.
False.
h). 1 is the smallest whole number.
False.
i). The natural number 1 has no predecessor.
True.
j). The whole number 1 has no predecessor.
False.
k). The whole number13 lies between 11 and 12.
False.
l). The whole number 0 has no predecessor.
True.
m). The successor of a two-digit number is always a two-digit number.
False.
Page 28
Try These.
1). Write the predecessor and successor of 19; 1997; 12000; 49; 100000
| number | predecessor | successor |
| 19 | 18 | 20 |
| 1997 | 1996 | 199 |
| 12000 | 11999 | 12001 |
| 49 | 48 | 50 |
| 100000 | 99999 | 100001 |
2). Is there any natural number that has no predecessor?
Yes. The natural number has no predecessor.
3). Is there any natural number which has no successor? Is there a last natural number?
No. As the natural numbers are never-ending, therefore, there does not exist any natural number which has no successor. There is no last natural number.
Page 29
1). Are all natural numbers are also whole numbers?
Yes, all natural numbers are also whole numbers.
2). Are all whole numbers are also natural numbers?
No, not all whole numbers are also natural numbers.
3). Which is the greatest whole number?
Whole numbers are never ending. Therefore, there do not exists a greatest whole number.
Page 30
Find 4+5; 2+6; 3+5 and 1+6 using number line.
Answers:
4 + 5 = 9
2 + 6 = 8
3 + 5 = 8
1 + 6 = 7
Find 8-3; 6-2; 9-6 using the number line.
Answer:
8 – 3 = 5
6 – 2 = 4
9 – 6 = 3
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