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1.) What can you say about the prime factauisation ofthe denominators ofthe rational number0.1342 |
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Answer» Answer: To find : What can you say about the prime factorization of the DENOMINATOR of the rational number 0.134 when written in the form p/q. Is it of the form 2^m \times 5^n2 m ×5 n ? If yes, write the values of m and n. Solution : Rational number 0.134. Remove decimal to write in fraction, 0.134=\frac{134}{1000}0.134= 1000 134
Write in SIMPLEST form, 0.134=\frac{67}{500}0.134= 500 67
Now, factories 500 500=2\times 2\times 5\times 5\times 5500=2×2×5×5×5 500=2^2\times 5^3500=2 2 ×5
So, The denominator is written in the form 2^m \times 5^n=2^2\times 5^32 m ×5 n =2 2 ×5 3
where, m=2 and n=3 Therefore, The value of m=2 and n=3. |
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