অখণ্ড সংখ্য়া
অনুশীলনী 1(A)
1. মান নিৰ্ণয় কৰা :
i) 17+(-9)
= 17- 9
= 8
ii) -25+ 13
= -12
iii) -8+(-19)
= -8-19
= -27
iv) (-36)+42
= -36+42
= 6
v) 63+ (-29)
= 63-29
=34
vii) (-38)+(-42) .
= (-38)-42
= -80
2) তলৰ অখণ্ড সংখ্যাবোৰৰ যোগফল উলিওৱাঁ ঃ
(i) 263 আৰু 146
= 263+ 146
= 409
(ii) 315 আৰু -265
= 315+ (-265)
= 315 -265
= 50
(iii) -219 আৰু 300
= -219+300
= 81
(iv) -157 আৰু -385
= -157+ (-385)
= -157-385
= -542
(v) -424 আৰু 346
= -424+346
=-78
(vi) 275 আৰু -429
= 275+(-429)
=275-429⇻
= -154
3) তলৰ অখণ্ড সংখ্যাবোৰৰ যোগাত্মক বিপৰীত সংখ্যাবোৰ লিখাঁ ঃ-
(i) 46
Solution: -46
(ii) -92
Solution: 92
(iii) 0
Solution: 0
(iv) -33
Solution: 33
(v) 64
Solution: -6
4) বিয়োগ কৰোঁ ঃ
(i) 262ৰপৰা 136
= 262 -136
= 126
(ii)175 ৰপৰা 327
= 175 – 327
= -152
(iii) 315 ৰপৰা -182
= 315- (-182)
= 315 +182
= 497
(iv) -286 ৰপৰা 196
= -286 – 196
= – 482
(v) -242 ৰপৰা -305
.= -242 – (-305
= -242+305
= 63
(vi) -460 ৰপৰা -525
= -460 -(-525)
= -460+525
= 65
5. খালী ঠাই পূৰ কৰাঁ ঃ
(i) 25 + 16 = 16+25
(ii) {(-25) +17} + (-30) = (-25) + {17 + (-30)}
(iii) -18 +0 = -18
(iv) 72 + (-72) = 0
(v) -23 +(-17) = -17 + (-23)
(vi) -29 + 29 = 0
6. সৰল কৰা ঃ
(i) 26 – 46 + 29 – 18
= (26 – 46) + (29 -18 )
= -20 + 11
= -9
(ii) – 39 + (-14) + 89 -13 + 11
= -39 – 14 + 89 – 13 + 11
= (-39 -14 ) + (89 – 13) + 11
= (-53 +76) +11
= 23+11
= 34
(iii) 52 + (-38) +34 +(-72) +16
= 52 -38 + 34 – 72 + 16
= (52 – 38) + (34 -72) +16
= 14 + (- 38) +16.
= (14 -38) + 16
= -24 + 16 .
= – 8
(iv) 100 + 432 – 209 – 136 -49
= (100 + 432) -209 – 136 – 49
= (532) -394
= 532 -394
= 138
(v) – 462 + 139 – 264 + 501
= (-462 + 139 ) -264 + 501
= (-323 – 264) + 501
= -587 + 501
= -86
7. a = 16 , b = -22, c = 18 হ’লে তলৰ ধৰ্মকোইটা সত্যাপন কৰা ঃ
(i) a + b = b + a
Solution: 16 + (-22) = (-22) + 16
16 – 22 = (-22) +16
-6 = – 6
(ii) (a + b) + c = a + (b + c)
Solution: {16 + (-22)} + 18 = {16 + (-22)} + 18
( 16 – 22) + 18 = (16 -22 ) +18
-6 + 18 = -6 + 18
12 = 12
(iii) a +0 = a
Solution: 16 + 0 = 16
16 = 16
(iv) 0 + b = b
Solution: 0 + (-22) = – 22
0 – 22 = -22
-22 = -22
(v) a – b ≠ b – a
Solution: 16 – (-22) = -22 – 16
16 + 22 = -22 – 16
38 = -38
∴ 38 ≠ -38
(vi) (a – b) – c ≠ a -(b -c)
Solution: { 16 – (-22)} – 18 = 16 – (-22 -18)
(16 + 22) – 18 = 16 – (-22 -18 )
38 -18 = 16 – (-40)
38 – 18 = 16 + 40
20 = 56
∴ 20 ≠ 56