Page 32 - Maths Class 06

6. If a = 12, b = 8 and c = 5, show that a – (b – c) ¹ (a – b) – c.

7. If a = 10 and b = 6, show that a – b ¹ b – a.
8. If a = 256 and b = 175, show that a – b ¹ b – a.
9. If a = 256, b = 362 and c = 182, show that a – ( – c) ( –¹ a b) – c.
b
10. If a = 4, b = 3 and c = 6, find the following:
(a) ab + ac (b) a × (b + c)
11. Verify that, b + c = a if a – b = c for:
(a) a = 5, b = 3 (b) a = 23, b = 9

12. If a = 8, b = 5 and c = 2, find the following:
(a) ab – ac (b) a × (b – c)
13. If a = 84 and b = 4, verify whether a ÷ b ¹ b ÷ a.
14. Find the difference between the largest 5-digit number and smallest 3-digit number.

15. A shop keeper sold 7 bedsheets for `350 each and 13 pillow covers for `50 each. Find the amount
he earned by selling the bedsheets and pillow covers.

Patterns of Whole Numbers

The whole numbers possess certain pleasant operations. Study the following patterns and feel excited
about the treasure of mathematics:
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1. 99 ´ + 1 100= 2. 3 1´ =( 2 2´ ) – 1
99 ´ 2 + 2 = 200 4 2´ =( 3 3´ ) – 1
99 ´ 3 + 3 = 300 5 3´ =( 4 ´ 4) – 1
99 ´ 4 + 4 = 400 6 ´ 4 =( 5 5´ ) – 1
M M
M M

3. (2 2´ ) – (1 1´ ) 3= = 2 + 1 4. 1 + 3 = 4 = ´2 2

(3 3´ ) – (2 2´ ) 5= = 3 + 2 1 + 3 + 5 = 9 = ´3 3
(4 ´ 4 ) – (3 3´ ) = 7 = 4 + 3 1 + 3 + 5 + 7 = 16 = 4 ´ 4
(5 5´ ) – (4 ´ ) 4 = 9 = 5 + 4 1 + 3 + 5 + 7 + 9 = 25 = ´5 5
M M
M M

5. 6 ´ 2 – 5 = 7 6. 1 9´ + 2 = 11
7 3´ – 12 = 9 12 9´ + 3 = 111
8 ´ 4 – 21 11= 123 9´ + 4 = 1111
9 ´ 5 – 32 = 13 1234 9´ + 5 = 11111
M M
M M

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