Write the following in decimal form and say what kind of decimal expansion each has : (i)36/100 (ii)1/11 (iii)4(1/8) (iv)3/13 (v)2/11 (vi)329/400

(i) = 0.36, terminating decimal expansion (ii) The remainder 1 keeps repeating. Hence, = . This is a non-terminating repeating decimal expansion (iii) Hence, = 4.125. This is a terminating decimal expansion. (iv) Hence, = . This is a non-terminating repeating decimal expansion. (v) Hence, . This is a non-terminating repeating decimal expansion. (vi) = 0.8225, terminating decimal expansion Hence, = 0.8225. This is a terminating decimal expansion.

Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.

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Mathematics

Write the following in decimal form and say what kind of decimal expansion each has : (i)36/100 (ii)1/11 (iii)4(1/8) (iv)3/13 (v)2/11 (vi)329/400

Number System

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Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.