Ch-1 Real Numbers
1. Write the following rational numbers in their decimal form and also state which are terminating and which are non terminating, repeating decimal.
(I) 3/8 (ii) 229/400 (iii)4 1/5 (iv)2/11 (v)8/125
2. Without performing division, state whether the following rational numbers will have a terminating decimal form or a non-terminating repeating decimal form.
(i)3/3125 (ii)11/12 (iii)64/455 (iv)15/1600 (v)29/343 (vi)23/2³·5² (vii)139/2²5⁷7⁵ (viii)9/15 (ix)36/100 (x)77/210
3. Write the following rational numbers in decimal form using Theorem 1.4
(I)13/25 (ii)15/16 (iii)23/2³·5² (iv)7218/3²·5²² (v)143/110
4. Express the following decimal numbers in the form of p/q and write the prime factors of q. What do you observe?
(i) 43.123 (ii)0.120112001120001... (iii)43.12 (iv)0.63
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