Page 36 - Start Up Mathematics_6
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Example 2: Write the successor of (a) 3,440 (b) 40,99,999
Solution: (a) The successor of 3,440 is 3,440 + 1 = 3,441
(b) The successor of 40,99,999 is 40,99,999 + 1 = 41,00,000
Example 3: Write the predecessor of (a) 1,000 (b) 96,54,321
Solution: (a) The predecessor of 1,000 is 1,000 – 1 = 999
(b) The predecessor of 96,54,321 is 96,54,321 – 1 = 96,54,320
Example 4: 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 the appropriate sign
(>, <) between them.
(a) 640; 604 (b) 567; 765 (c) 98,965; 56,789
Solution: Number on Number on
Pair of numbers Comparison
the left the right
(a) 640; 604 604 640 640 > 604
(b) 567; 765 567 765 567 < 765
(c) 98,965; 56,789 56,789 98,965 98,965 > 56,789
EXERCISE 2.1
1. Write the next three natural numbers after:
(a) 9,87,098 (b) 10,867 (c) 99,999
2. Write the three whole numbers occurring just before:
(a) 29,001 (b) 34,799 (c) 5,62,301
3. Which is the largest whole number?
4. How many whole numbers are there between 46 and 77?
5. Write the successor of (a) 2,35,679 (b) 7,86,420 (c) 9,80,099
6. Write the predecessor of (a) 5,67,000 (b) 34,59,080 (c) 89,00,120
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 the appropriate sign (>, <)
between them.
(a) 387; 378 (b) 1,001; 1,101 (c) 3,456; 6,543 (d) 36,789; 3,67,899
8. Add 5 and 6 using the number line.
9. Subtract 5 from 9 using the number line.
10. Multiply 5 by 3 using the number line.
Properties of Whole Numbers
I. Addition
Closure property
Let ‘a’ and ‘b’ be any two whole numbers, then the sum of ‘a’ and ‘b’ is also a whole number.
This property is known as closure property of addition of whole numbers.
For example, 3 + 5 = 8
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