1. āĻšā§°āĻŖāĻĢāϞ āύিā§°্āĻŖā§ āĻā§°া-
(i) 14 ÷ (-5)
Ans- 14 ÷ (-5)
= -2.8
(ii) (-60) ÷ 10
Ans- (-60) ÷ 10
= -6
(iii) (-54) ÷ (-6)
Ans- (-54) ÷ (-6)
= 9
(iv) 0 ÷ (-15)
Ans- 0 ÷ (-15)
= 0
(v) (-61) ÷ {(-60) + (-1)}
Ans- (-61) ÷ {(-60) + (-1)}
= (-61) ÷ (-61)
= 1
(vi) {(-72) ÷ (-6)} ÷ (-3)
Ans- {(-72) ÷ (-6)} ÷ (-3)
= 12 ÷ (-3)
= -4
2.āĻাāϞী āĻ া āĻĒূā§° āĻā§°া-
(i) (-6000) ÷ 25 =_______
Ans- (-6000) ÷ 25 = -240
(ii) {(-4) × 18} ÷ ________=12
Ans- {(-4) × 18} ÷ ________ = 12
= (-72) ÷ (-6) = 12
(iii) ________÷(5-6) = -20
Ans- _______ ÷ (5-6) = -20
= _______ ÷ (-1) = -20
= 20 ÷ (-1) = -20
(iv) (-123) ÷ (-1) =____________
Ans- (-123) ÷ (-1) = 123
3. (i) āϝāĻĻি a ÷ (-7) = 8, āϤেāύ্āϤে āĻ āĻāĻŖ্āĻĄ āϏংāĻ্ā§া a ā§° āĻŽাāύ āύিā§°্āĻŖā§ āĻā§°া।
Ans- a ÷ (-7) = 8
⇒ a = 8 × (-7)
⇒ a = (-56)
∴ a ā§° āĻŽাāύ (-56)।
(ii) āϝāĻĻি 125 ÷ b = -5, āϤেāύ্āϤে āĻ āĻāĻŖ্āĻĄ āϏংāĻ্āϝা b ā§° āĻŽাāύ āύিā§°্āĻŖā§ āĻā§°া।
Ans- 125 ÷ b = -5
⇒ b = 125 ÷ (-5)
⇒ b = -25
∴ b ā§° āĻŽাāύ -25।
4. a ÷ b = -5 āĻšোā§ąাāĻৈ āϤিāύিāϝোā§° āĻ āĻāĻŖ্āĻĄ āϏংāĻ্āϝা āϞিāĻা।
Ans- a ÷ b = -5 āĻšোā§ąাāĻৈ āϤিāύিāϝোā§° āĻ āĻāĻŖ্āĻĄ āϏংāĻ্āϝা āĻš'āϞ-
a = 15, b = -3
a = 25, b = -5
a = 75, b = -15
5. āĻļ্ā§°েāĻŖী āĻĒā§°ীāĻ্āώা āĻāĻাāϤ 20 āĻা āĻĒ্ā§°āĻļ্āύ⧰ āĻĻিā§া āĻšৈāĻে। āĻĒ্ā§°āϤিāĻো āĻļুāĻĻ্āϧ āĻāϤ্āϤ⧰⧰ āĻŦাāĻŦে 5 āύāĻŽ্āĻŦā§° āĻā§°ু āĻĒ্ā§°āϤিāĻো āĻূāϞ āĻāϤ্āϤ⧰⧰ āĻŦাāĻŦে (-2) āύāĻŽ্āĻŦā§° āĻĻিā§া āĻšৈāĻে।
(i) āĻāĻāύে āϏāĻāϞো āĻĒ্ā§°āĻļ্āύ⧰ āĻāϤ্āϤ⧰ āĻā§°িāϞে। āĻিāύ্āϤু āϤাāĻā§° 10 āĻাāĻšে āĻļুāĻĻ্āϧ āĻšৈāĻিāϞ? āϤেāĻঁā§° āĻĒোā§ąা āĻŽুāĻ āύāĻŽ্āĻŦā§° āĻিāĻŽাāύ?
Ans- āĻĻিā§া āĻāĻে, āĻŽুāĻ āĻāϤ্āϤ⧰ = 20āĻা।
āĻĒ্ā§°āϤিāĻো āĻļুāĻĻ্āϧ āĻāϤ্āϤ⧰⧰ āĻŦাāĻŦে āύāĻŽ্āĻŦā§° āĻĻিā§ে = 5 āύāĻŽ্āĻŦā§°।
∴ āϤাāĻā§° 10āĻা āĻļুāĻĻ্āϧ āĻāϤ্āϤ⧰⧰ āĻŦাāĻŦে āύāĻŽ্āĻŦā§° āĻĒাā§ = 10 × 5
= 50 āύāĻŽ্āĻŦā§°।
āĻāĻৌ āĻĒ্ā§°āϤিāĻো āĻূāϞ āĻāϤ্āϤ⧰⧰ āĻŦাāĻŦে āύāĻŽ্āĻŦā§° āĻĒাā§ = -2
∴ 10āĻা āĻূāϞ āĻāϤ্āϤ⧰⧰ āĻŦাāĻŦে āύāĻŽ্āĻŦā§° āĻĒাā§ = 10 × (-2)
= -20 āύāĻŽ্āĻŦā§°।
∴ āϤাāĻ āĻŽুāĻ āύāĻŽ্āĻŦā§° āĻĒাā§ = 50 - 20 = 30।
(ii) āĻ āύ্āϝ āĻāĻāύে 5 āĻা āĻļুāĻĻ্āϧ āĻā§°িāϞে। āϤেāĻঁā§° āύāĻŽ্āĻŦā§° āĻিāĻŽাāύ āĻš'āĻŦ?
Ans- āĻĒ্ā§°āϤিāĻো āĻļুāĻĻ্āϧ āĻāϤ্āϤ⧰⧰ āĻŦাāĻŦে āĻĒাā§ = 5 āύāĻŽ্āĻŦā§°।
∴āϤাā§° 5āĻা āĻļুāĻĻ্āϧ āĻāϤ্āϤ⧰⧰ āĻŦাāĻŦে āύāĻŽ্āĻŦā§° āĻĒাā§ = 5 × 5
= 25 āύāĻŽ্āĻŦā§°।
āĻĒ্ā§°āϤিāĻো āĻূāϞ āĻāϤ্āϤ⧰⧰ āĻŦাāĻŦে āύāĻŽ্āĻŦā§° āĻĒাā§ = -2 āύāĻŽ্āĻŦā§°।
∴ 15āĻা āĻূāϞ āĻāϤ্āϤ⧰⧰ āĻŦাāĻŦে āύāĻŽ্āĻŦā§° āĻĒাā§ = 15 × (-2)
= -30 āύāĻŽ্āĻŦā§°।
∴ āϤেāĻঁā§° āĻŽুāĻ āύāĻŽ্āĻŦā§° āĻĒাā§ = 25 - 30
= -5
6. āĻāĻা āĻĒā§°ীāĻ্āώাāϤ āĻĒ্ā§°āϤিāĻো āĻļুāĻĻ্āϧ āĻāϤ্āϤ⧰ āĻŦাāĻŦে 5 āύāĻŽ্āĻŦā§° āĻā§°ু āĻĒ্ā§°āϤিāĻো āĻ āĻļুāĻĻ্āϧ āĻāϤ্āϤ⧰⧰ āĻŦাāĻŦে (-2) āύāĻŽ্āĻŦā§° āĻĻিā§া āĻšৈāĻিāϞ।
(i) āϏুāĻŽāύে āĻĒ্ā§°āϤিāĻো āĻĒ্ā§°āĻļ্āύ⧰ āĻāϤ্āϤ⧰ āĻā§°িāĻিāϞ। āϤাā§°ে 16 āĻা āĻļুāĻĻ্āϧ āĻšāϞ āĻā§°ু 64 āύāĻŽ্āĻŦā§° āĻĒাāϞে।
Ans- āĻĻিā§া āĻāĻে, āϏুāĻŽāύ⧰ āĻŽুāĻ āύāĻŽ্āĻŦā§° = 64 āύāĻŽ্āĻŦā§°।
āĻĒ্ā§°āϤিāĻো āĻļুāĻĻ্āϧ āĻāϤ্āϤ⧰ āĻŦাāĻŦে āύāĻŽ্āĻŦā§° āĻĒাā§ = 5 āύāĻŽ্āĻŦā§°।
∴ āϏুāĻŽāύে 16āĻা āĻļুāĻĻ্āϧ āĻāϤ্āϤ⧰⧰ āĻŦাāĻŦে āύāĻŽ্āĻŦā§° āĻĒাā§ = 16 ×5 = 80 āύāĻŽ্āĻŦā§°।
āĻĒ্ā§°āϤিāĻো āĻূāϞ āύāĻŽ্āĻŦā§° āĻāϤ্āϤ⧰⧰ āĻŦাāĻŦে āύāĻŽ্āĻŦā§° āĻĒাā§ = -2 āύāĻŽ্āĻŦā§°।
∴ āϏুāĻŽāύে āĻূāϞ āĻā§°া āύāĻŽ্āĻŦā§°ā§° āĻāϤ্āϤ⧰ āĻĒাā§ = 64 - 80 = -16 āύāĻŽ্āĻŦā§°।
∴ āϏুāĻŽāύে āĻূāϞ āĻā§°া āĻāϤ্āϤ⧰⧰ āϏংāĻ্ā§া āĻš'āϞ = (-16) ÷ (-2) = 8āĻা।
(ii) āĻā§াāĻ āĻāĻাāĻāĻেāĻāĻা āĻĒ্ā§°āĻļ্āύ⧰ āĻāϤ্āϤ⧰ āĻā§°িāĻিāϞ। āϤেāĻঁ 6 āĻা āĻļুāĻĻ্āϧ āĻā§°িāĻিāϞ āĻā§°ু (-6) āύāĻŽ্āĻŦā§° āĻĒাāϞে। āĻĻুā§ো āĻেāĻāĻা āĻĒ্ā§°āĻļ্āύ⧰ āĻāϤ্āϤ⧰ āĻূāϞ āĻā§°িāĻিāϞ?
Ans- āĻā§াā§° āĻŽুāĻ āύāĻŽ্āĻŦā§° = -6 āύāĻŽ্āĻŦā§°।
āĻā§াā§° 6āĻা āĻļুāĻĻ্āϧ āĻāϤ্āϤ⧰⧰ āĻŦাāĻŦে āύāĻŽ্āĻŦā§° āĻĒাā§ = 6 × 5 = 30 āύāĻŽ্āĻŦā§°।
āĻā§াā§° āĻূāϞ āĻāϤ্āϤ⧰ āĻŦাāĻŦে āύāĻŽ্āĻŦā§° āĻĒাā§ = -6 -30 = -36 āύāĻŽ্āĻŦā§°।
∴ āĻā§াāĻ āĻূāϞ āĻā§°া āĻāϤ্āϤ⧰⧰ āϏংāĻ্ā§া āĻš'āϞ = (-36) ÷ (-2) = 18 āύāĻŽ্āĻŦā§°।
7. āĻোāύো āĻāĻা ā§°āĻŦā§° āĻোāĻŽ্āĻĒাāύীāĻোā§ąে āĻŦিāĻ্ā§°ী āĻā§°া āĻĒ্ā§°āϤিāĻŦেāĻ ā§°āĻŦā§°āϤ 15 āĻāĻাāĻৈ āϞাāĻ āĻā§°ে। āĻĒ্ā§°āϤিāĻŦেāĻ āĻŦেā§া āĻšৈ āϝোā§ąা ā§°āĻŦā§°āϤ ā§Ē āĻāĻাāĻৈ āϞোāĻāĻাāύ āĻšāĻŦ?
(i) āĻোāĻŽ্āĻĒাāύীāĻোā§ąে āĻāĻŽাāĻšāϤ 1500 āĻŦেāĻ āĻাāϞ ā§°āĻŦā§° āĻā§°ু 500 āĻŦেāĻ āĻŦেā§া āĻŦā§°āĻŦ āĻŦিāĻ্ā§°ী āĻā§°িāϞে। āĻā§াāϤ āϞাāĻ āĻŦা āϞোāĻāĻাāϞ āĻিāĻŽাāύ āĻšāĻŦ?
Ans- āĻĻিā§া āĻāĻে, āĻĒ্ā§°āϤিāĻŦেāĻ āĻাāϞ ā§°āĻŦā§°ā§° āĻŦাāĻŦে āϞাāĻ āĻšā§ = 15 āĻāĻা।
āĻĒ্ā§°āϤিāĻŦেāĻ āĻŦেā§া ā§°āĻŦā§°ā§° āĻŦাāĻŦে āϞোāĻāĻাāύ āĻšā§ = 8 āĻāĻা।
āĻোāĻŽ্āĻĒাāύীāĻোā§ąে 1500 āĻŦেāĻ āĻাāϞ ā§°āĻŦā§°ā§° āĻŦাāĻŦে āϞাāĻ āĻšā§ = 15 × 1500 = 22500 āĻāĻা।
” 500 ” āĻŦেā§া ” ” āϞোāĻāĻাāύ āĻšā§ = 8 × 500 = 4000 āĻāĻা।
āĻোāĻŽ্āĻĒাāύীāĻোেā§° āϞাāĻ āĻšā§ = 22500 - 4000 = 18,500 āĻāĻা।
(ii) āϝāĻĻি 750 āĻŦেāĻ āĻŦেā§া ā§°āĻŦā§° āĻŦিāĻ্ā§°ী āĻā§°া āĻšā§ āϤেāύ্āϤে āĻোāύো āϞাāĻ āĻŦা āϞোāĻāĻাāύ āύāĻš'āĻŦāϞৈ āĻŽুāĻ āĻিāĻŽাāύ āĻŦেāĻ āĻাāϞ ā§°āĻŦā§° āĻŦিāĻ্ā§°ী āĻā§°িāĻŦ āϞাāĻিāĻŦ?
Ans- āĻোāĻŽ্āĻĒাāύীāĻোā§ąে 750 āĻŦেāĻ āĻŦেā§া ā§°āĻŦā§° āĻŦিāĻ্ā§°ী āĻā§°িāϞে āϞোāĻāĻাāύ āĻšā§ = 750 × 8
= 6000 āĻāĻা।
āĻোāύো āϞাāĻ āĻŦা āϞোāĻāĻাāύ āύāĻš'āĻŦāϞৈ āĻাāϞ ā§°āĻŦā§°ā§° āĻŦেāĻ āĻŦিāĻ্ā§°ী āĻā§°িāĻŦ āϞাāĻিāĻŦ = 6000 ÷ 15
= 400 āĻŦেāĻ।
Answer by - Punya Hazarika
Post Id: DABP000813