Which of the following rational numbers is expressible as a non-terminating decimal? 3219/1800
Which of the following rational numbers is expressible as a non-terminating decimal?
3219/1800
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3219/1800 = 3219/ 23 x 52 x 32
We know 2, 3 and 5 are not the factors of 3219.
So, the given rational is in its simplest form.
∴ (2 3 × 5 2 × 3 2 ) ≠ (2m × 5n ) for some integers m, n.
Hence, 3219/1800 is not a terminating decimal.
3219/1800 = 1.78833333….
Thus, it is a repeating decimal.
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