Without actually performing division, find decimal expansion of 73/6250.
Answers
Answer:
Step-by-step explanation:
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.
13/6250
13 / (2¹ ×5^5 )
Here, the factors of the denominator 6250 are are 2¹ ×5^5 which is in the form 2ⁿ 5^m .
Hence , 13/6250 has terminating decimal expansion and can be expressed as
13/6250 = 13 × 2⁴ / (2¹×2⁴ × 5^5)
= 13 × 16 / (2×5)^5 = 208 /100000
= 0.00208
Hence, the decimal expansion of 13/6250 = 0.00208
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Step-by-step explanation:
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