1. Calculate using suitable rearrangements:
(i) 31 + 32 + 33 + 34 + 35 + 65 + 66 + 67 + 68 + 69
(ii) 1 + 2 + 3 + 4 + 996 + 997 + 998 + 999
2. What is the difference between the largest number of 5 digits and the smallest 6 digits?
3. The digits of 6 and 9 of the number 36490 are interchanged. Find the difference between the original number and the new number.
4. Determine the products by suitable rearrangement:
(i) 8 x 125 x 40 x 25
(ii) 250 x 60 x 50 x 8
(iii) 37256 x 25 x 9 x 40
5. Determine the product of:
6. (i) The greatest number of 4-digits and the smallest number of 3-digits
(ii) Smallest number of 2-digits and the greatest number of 5-digits.
7. A dealer purchased 120 LCD television sets. If the cost of each set is Rs. 20000, determine the cost of all sets together.
8. Find the value of each of the following using properties:
(i) 493 x 9 + 493 x 2
(ii) 1568 x 184 – 1568 x 84
Answers
Solved Questions using Suitable rearrangements
Step-by-step explanation:
(i) 31 + 32 + 33 + 34 + 35 + 65 + 66 + 67 + 68 + 69
= (31 + 69) + (32 + 68) + (33 + 67) + (34 + 66) + 65
= 100 + 100 + 100 + 100 + 65
= 465
(ii) 1 + 2 + 3 + 4 + 996 + 997 + 998 + 999
= (1 + 999) + (2 + 998) + (3 + 997) + (4 + 996)
= 1000 + 1000 + 1000 + 1000
= 4000
difference between the largest number of 5 digits and the smallest 6 digits
= 100000 - 99999 = 1
digits of 6 and 9 of the number 36490 are interchanged
= 39460 - 36490 = 2970
(i) 8 x 125 x 40 x 25
= 1000 * 1000
= 1000000
(ii) 250 x 60 x 50 x 8
= 250 * 8 * 60 * 50
= 2000 * 3000
= 6000000
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