Write the following numbers in p/q form.
(i) 0.555
(ii) 29.568
(iii) 9.315 315 ...
(iv) 357.417417...
(v)30.219
Answers
Answer:
Write the following numbers in p/q form.
(i) 0.555 = 111/200
(ii) 29.568 = 3696/125
(iii) 9.315 315 ... = 1034/111
(iv) 357.417417... = 119020/333
(v)30.219 = 30219/1000
Step-by-step explanation:
0.555 = 555/1000
= 111/200
29.568 = 29568/1000
= 14784/500
= 7392/250
= 3696/125
9.315 315 ...
let say P = 9.315 315.....
1000P = 9315 . 315 315 .......
1000P - P = 9315 . 315 315 ....... - 9.315 315.....
=> 999P = 9306
=> P = 9306/999
=> P = 3102/333
=> P = 1034/111
357.417417...
P = 357.417417...
1000P = 357417.417 417....
999P = 357060
=> P = 357060/999
=> P = 119020/333
30.219 = 30219/1000
Step-by-step explanation:
8th
Maths
Squares and Square Roots
Square Roots
Find the square root of the...
MATHS
avatar
Asked on October 15, 2019 by
Ajinkya Nagar
Find the square root of the following number by prime factorisation method
(i) 729
(ii) 400
(iii) 1764
(iv) 4096
(v) 7744
(vi) 9604
(vii) 5929
(viii) 9216
(ix) 529
(x) 8100
MEDIUM
Share
Study later
VIDEO EXPLANATION
ANSWER
(i) 729=3×3×3×3×3×3= 3
2
×3
2
×3
2
729
=27
(ii) 400= 2
2
×2
2
×5
2
400
=20
(iii) 1764= 2
2
×2
2
×7
2
1764
=42
(iv) 4096= 2
2
×2
2
×2
2
×2
2
×2
2
×2
2
4096
=64
(v) 7744= 2
2
×2
2
×2
2
×11
2
7744
=88
(vi) 9604= 2
2
×7
2
×7
2
9604
=98
(vii) 5929= 11
2
×7
2
5929
=77
(viii) 9216= 96
2
9216
=96
(ix) 529=23×23
529
=23
(x) 8100=90
2
8100
=90.