express the following decimal number in the form of p/q and write the prime factors of q. what do you observe? 1) 43.123 2) 0.120112001120001.... 3) 43.12 4) 0.636363..
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Step-by-step explanation:
43.123
q
p
form of 43.123 is
1000
43123
43.123=
1000
43123
=
1000
43123
=
10
3
43123
=
2
3
∗5
3
43123
∴ The prime factors of q are 2 and 5.
Denominator q is in the form of 2
n
.5
m
Hence 43.123 is terminating decimal form.
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