Without dividing, determine which of the following represent terminating decimals. 1) 7281 2) 2128 a. Is 7281 a terminating decimal? b. Is 2128 A) Yes, because the only factors of the denominator, 81, are 2 and 5. B) No, because the only factors of the denominator, 81, are 2 and 5. C) No, the denominator of the simplified fraction contains a factor other than 2 or 5. D) Yes, the only factors of the denominator of the simplified fraction are 2 or 5.

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Without dividing, determine which of the following represent terminating decimals.  1) 7281  2) 2128  a. Is 7281 a terminating decimal?  b. Is 2128  A) Yes, because the only factors of the denominator, 81, are 2 and 5.  B) No, because the only factors of the denominator, 81, are 2 and 5.  C) No, the denominator of the simplified fraction contains a factor other than 2 or 5.  D) Yes, the only factors of the denominator of the simplified fraction are 2 or 5.

okomgcae · Accepted Answer

Step 1  Given the fraction  a) 7281  A rational number ab in the simplest form can be written as a terminating decimal if an only if the prime factorization of the denominator contains no primes other than 2 or 5.  Step 2  Here first simplify the given fraction  =7281  =2×2×2×3×33×3×3×3.  =832  The denominator is 3  Step 3   Therefore,    No the denominator of the simplified fraction contains a factor other than 2 or 5   Step 4   b) 2128  Here first simplify the given fraction  =3×72×2×7  =323  Here the denominator is 2  Step 5   yes the only factors of the denominator of the simplified fraction is 2

Without dividing, determine which of the following represent terminati

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