How can i determine whether these fractions have terminatinig decimals?
1) 2^4 x 11^16 x 17^14
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5^12
2) 2^3 x 3^9 x 11 ^17
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2^8 x 3^4 x 5^7
2007-05-01 18:56:02 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Simple... use a scientific calculator
2007-05-01 19:03:14 · answer #1 · answered by helpless kid 2 · 0⤊ 1⤋
Look at the first one. It has factors 2/5, 11/5 and 17/5. Each of these have a terminating decimal (try it!). Therfore the whole thing has a terminating decimal.
2007-05-01 19:07:45 · answer #2 · answered by Scott H 3 · 0⤊ 0⤋
After determining the prime factors and cancelling out all common factors, the decimal expansions will terminate iff the denominators contain no factors other than 2 and 5.
2007-05-01 19:00:32 · answer #3 · answered by Anonymous · 0⤊ 0⤋
A terminating decimal will always have only 2 or 5 as factors in its denominator. The top one is OK. The bottom one isn't. 3 is one of the factors in the bottom one.
2007-05-01 19:05:19 · answer #4 · answered by TychaBrahe 7 · 0⤊ 0⤋