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Class 8 Maths Algebraic Expressions and Identities Download as PDF
NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities
1. Use a suitable identity to get each of the following products:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
(ix)
(x)
Ans. (i)
[Using identity ]=
(ii)
=
[Using identity ]=
(iii)
=
[Using identity ]=
(iv)
=
[Using identity ]=
(v)
[Using identity ]=
(vi)
=
[Using identity ]=
(vii)
[Using identity ]=
(viii)
=
[Using identity ]=
(ix)
=
[Using identity ]=
(x)
=
[Using identity ]=
2. Use the identity to find the following products:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
Ans. (i)
[Using identity ]=
(ii)
[Using identity ]=
(iii)
=
[Using identity ]=
(iv)
[Using identity ]=
=
=
(v)
[Using identity ]=
=
(vi)
[Using identity ]=
=
(vii)
[Using identity ]=
NCERT Solutions for Class 8 Maths Exercise 9.5
3. Find the following squares by using identities:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
Ans. (i)
[Using identity ]=
(ii)
[Using identity ]=
(iii)
[Using identity ]=
(iv)
[Using identity ]=
(v)
[Using identity ]=
(vi)
[Using identity ]=
NCERT Solutions for Class 8 Maths Exercise 9.5
4. Simplify:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
Ans. (i)
[Using identity ]=
(ii)
[Using identities and ]=
=
=
(iii)
[Using identities and ]=
=
=
(iv)
[Using identity ]=
=
=
(v)
[Using identity ]
=
=
=
(vi)
[Using identity ]=
=
(vii)
=
[Using identity ]=
=
NCERT Solutions for Class 8 Maths Exercise 9.5
5. Show that:
(i)
(ii)
(iii)
(iv)
(v)
Ans. (i) L.H.S. =
[Using identity ]=
=
= []
= R.H.S.
(ii) L.H.S. =
[Using identity ]=
=
= []
(iii) L.H.S. =
[Using identity ]=
=
= R.H.S.
(iv) L.H.S. =
= [Using identities and ]
= = =
= R.H.S.
(v)L.H.S.= =
[Using identity ]= 0
= R.H.S.
NCERT Solutions for Class 8 Maths Exercise 9.5
6. Using identities, evaluate:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
(ix)
Ans. (i)
[Using identity ]= 4900 + 140 + 1 = 5041
(ii)
[Using identity ]= 10000 – 200 + 1 = 9801
(iii)
[Using identity ]= 10000 + 400 + 4 = 10404
(iv)
[Using identity ]= 1000000 – 4000 + 4 = 996004
(v)
[Using identity ]= 25 + 2.0 + 0.04 = 27.04
(vi)
=
=
[Using identity ]= 90000 – 9 = 89991
(vii) =
=
[Using identity ]= 6400 – 4 = 6396
(viii)
[Using identity ]= 64 + 14.4 + 0.81 = 79.21
(ix) =
=
[Using identity ]= 100 – 0.25 = 99.75
NCERT Solutions for Class 8 Maths Exercise 9.5
7. Using find
(i)
(ii)
(iii)
(iv)
Ans. (i)
[Using identity ]= = 200
(ii)
[Using identity ]= = 0.08
(iii)
[Using identity ]= = 1800
(iv)
[Using identity ]= = 84.0 = 84
8.Using , find
(i)
(ii)
(iii)
(iv)
Ans. (i) =
=
[Using identity ]=
= 10000 + 700 + 12 = 10712
(ii)
=
[Using identity ]=
= 25 + 1.5 + 0.02 = 26.52
(iii)
=
[Using identity ]=
= 10000 + 100 – 6 = 10094
(iv)
= [Using identity ]
=
=
= 100 – 5 + 0.06 = 95.06
NCERT Solutions for Class 8 Maths Exercise 9.5
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Ans of ex 9.5 Q6 ix is 9.975 here is 99.75
Thnks NCERT
very good answer and solution, tumne bahot acche tarike se samghaya,,,. “THANKS”
?????????
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The 9th question of 6th question of exercise 9.5 is 1.05×9.5 but in solution you had written 1.05, 10.5
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