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Question
Without actual division, state whether the following have a terminating decimal.
`19/75`
Sum
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Solution
Step 1: Factor the denominator
75 = 3 × 5 × 5 = 3 × 52
Step 2: Check the prime factors
Only prime factor is 3
Step 3: Apply the rule
Denominator has only 5 → Non-terminating decimal
No, `19/75` has a non-terminating decimal.
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Chapter 1: Rational and Irrational Numbers - EXERCISE 1A [Page 5]
