Which of the following rational numbers is expressible as a non-terminating decimal? 1351/1250
Which of the following rational numbers is expressible as a non-terminating decimal?
1351/1250
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1351/1250 = 1351/ 5 4 × 2
We know 2 and 5 are not the factors of 1351.
So, the given rational is in its simplest form.
And it is of the form (2m × 5n ) for some integers m, n.
So, the given number is a terminating decimal.
∴ 1351/ 54 × 2 = 1351 ×2/ 54 × 24 = 10808/10000 = 1.0808
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