The decimal of expansion of the rational no. 43/2to the power 4 and 5³ will terminate after how many places
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Given rational number is 43/2^4 * 5^3.
Divide the numerator and denominator with 5.
= 43 * 5/2^4 * 5^3 * 5
= 43 * 5/2^4 * 5^4
= 43 * 5/10^4
= 215/10000
= 0.0215.
Therefore the decimal expansion of 43/2^4 * 5^3 will terminate after 4 places.
Hope this helps!
Divide the numerator and denominator with 5.
= 43 * 5/2^4 * 5^3 * 5
= 43 * 5/2^4 * 5^4
= 43 * 5/10^4
= 215/10000
= 0.0215.
Therefore the decimal expansion of 43/2^4 * 5^3 will terminate after 4 places.
Hope this helps!
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