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Express the following rational numbers as decimals:
(i) 42/100
(ii) 327/500
(iii) 15/4
(i) By long division method
Therefore, 42/100 = 0.42
(ii) By long division method
Therefore, 327/500 = 0.654
(iii) By long division method
Therefore, 15/4 = 3.75
(i) 2/3
(ii) – (4/9)
(iii) – (2/15)
(iv) – (22/13)
(v) 437/999
Therefore, 2/3 = 0.66
Therefore, - 4/9 = - 0.444
Therefore, 2/15 = -1.333
(iv) By long division method
Therefore, - 22/13 = - 1.69230769
(v) By long division method
Therefore, 437/999 = 0.43743
Look at several examples of rational numbers in the form of p/q (q ≠ 0), where p and q are integers with no common factor other than 1 and having terminating decimal representations. Can you guess what property q must satisfy?
A rational number p/q is a terminating decimal
only, when prime factors of q are q and 5 only. Therefore,
p/q is a terminating decimal only, when prime
factorization of q must have only powers of 2 or 5 or both.
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