Saved Bookmarks
| 1. |
. Check whether the following rational numbers are in standard form. If not, write themin standard form.4148(0)- 319(ii)735(iv-72 |
|
Answer» Step-by-step explanation: (i) 36
+ 6 42
At first, we will calculate the LCM of 36 and 42. The prime factorisation is 36 and 42 is, 36 = 2 × 2 × 3 × 3 42 = 2 × 3 × 7 Now, LCM of 36 and 42 = 2 × 2 × 3 × 3 × 7 = 252 5 36
+ 6 42
= 5×7 36×7
+ 6×6 42×6
= 35 252
+ 36 252
= 35+36 252
= 71 252
(II) 1 2 3
+2 4 5
= 1×3+2 3
+ 2×5+4 5
= 5 3
+ 14 5
Now, LCM of 3 and 5 is 15. 5 3
+ 14 5
= 5×5 3×5
+ 14×3 5×3
= 25 15
+ 42 15
= 67 15
=4 7 15
(iii) 11 17
+ 13 19
Now, LCM of 17 and 19 is 323. 11 17
+ 13 19
= 11×19 17×19
+ 13×17 19×17
= 209 323
+ 221 323
= 430 323
(iv) 2 3 11
+1 3 77
= 2×11+3 11
+ 1×77+3 77
= 25 11
+ 80 77
Now, LCM of 11 and 77 is 77. 25 11
+ 80 77
= 25×7 11×7
+ 80×1 77×1
= 175 77
+ 80 77
= 255 77
=3 24 77 |
|