Write the decimal form of following rational number with out actual division 15/16
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Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form. 17/320
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Answer:
given 15/16
15/16=
3×5/2×2×2×2
denominator consists 4 twos
so multiply by 4 fives both numerator and denominator
3×5×5×5×5×5/2×2×2×2×5×5×5×5
3×5^4/2^4×5^4
3×5^4/(2+5)^4
3×625/10^4
1875/10000
0.1875
hope it works........™✌️
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