Ex. 11. Evaluate
(I) 35 / 07.9
(II) 2.5 /0.0005
(III) 136 136.09 /43.9
Sol. (I) 35/07= 35 x 100/07 x 100 =3500/7 = 500.
(II) 2.5/0.0005 = 2.5 x 10000/0.0005 x 10000 = 25000/5 – 5000.
(III)136.09/43.9 = 136.09 x 10/43.9 x 10 = 1360.9/439 = 3.1.
Ex.12. what value will come in place of question mark in the following equations?
(I) 0.006 /? = 0.6 (II)? / 025 = 80.
Sol. (I)Let 0.006 /X = 0.6. Then, X = 0.006/0.6 = 0.006 x 10 /0.6 x 10 = 0.06 /6 = 0.01.
(II) Let X/.025 =80. Then, X = 80 X .025 = 2.
Ex. 13. If 1/3.718 = .2689, then find the value of 1/.0003718
Sol. 1/.0003718 =10000/3.718 =(10000 x 1/3.718) = 10000 x .268 = 2689.
Ex.14. express as vulgar fractions: (I) 0.37 (II) 0.53 (III) 3. 142857.
(I) 35 / 07.9
(II) 2.5 /0.0005
(III) 136 136.09 /43.9
Sol. (I) 35/07= 35 x 100/07 x 100 =3500/7 = 500.
(II) 2.5/0.0005 = 2.5 x 10000/0.0005 x 10000 = 25000/5 – 5000.
(III)136.09/43.9 = 136.09 x 10/43.9 x 10 = 1360.9/439 = 3.1.
Ex.12. what value will come in place of question mark in the following equations?
(I) 0.006 /? = 0.6 (II)? / 025 = 80.
Sol. (I)Let 0.006 /X = 0.6. Then, X = 0.006/0.6 = 0.006 x 10 /0.6 x 10 = 0.06 /6 = 0.01.
(II) Let X/.025 =80. Then, X = 80 X .025 = 2.
Ex. 13. If 1/3.718 = .2689, then find the value of 1/.0003718
Sol. 1/.0003718 =10000/3.718 =(10000 x 1/3.718) = 10000 x .268 = 2689.
Ex.14. express as vulgar fractions: (I) 0.37 (II) 0.53 (III) 3. 142857.