65/130 is terminating
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yes it terminates.
65/130=0.5
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Answer:if the factors of denominator of the given rational number is of form 2ⁿ 5^m ,where n and m are non negative integers, then the decimal expansion of the rational number is terminating otherwise non terminating recurring.
SOLUTION:26/65 = 2 × 13 / 5 × 13 = 2/5
Here, the factors of the denominator 65 are are 5¹ × 2^0 which is in the form 2ⁿ 5^m .
26/65 has terminating decimal expansion which can be expressed as : 26/65 = ⅖ = 2¹× 2¹ / 5¹× 2¹ = 4 /(5×2)¹= 4/10= 0.4
Hence, the terminating decimal expansion of 26/65 is 0.4.
Step-by-step explanation:
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