If t=1/2x5 is expressed as a terminating

If t=1/2x5 is expressed as a terminating decimal, how many zeros will t have between the decimal point and the first nonzero digit to the right of the decimal point?

2 Explanations

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CHANTEL HAMBROOK

-Make the fraction out of a 10ths denominator. We need to make the denominator powers the same. Therefore, make the power of 5^3, equal to the power of the 2^9.
-Multiply both the numerator and denominator by 5^6, making the power 9 for both 2 and 5 will create a denominator of 10^9. Which will be 2^9*5^9.
-The fraction will now be numerator 5^6 and denominator 10^9.
-We can solve the fraction, and come up with the amount of zero's.

Oct 27, 2014 • Comment

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Mike McGarry, Magoosh Tutor