describe general rule for which fraction that have decimal forms that terminate and which have decimals that repeat and list prime factorizations for each: 1/2 , 1/3, 1/4, 1/5,1/6,1/7,1/8,1/9,1/10,1/11,1/12
how do I do these problems?
I searched Google under the key words "fractions to decimals" to get these possible sources:
http://math2.org/math/general/arithmetic/fradec.htm
Prime factorization is finding factors (other than 1) that will multiply to give you the particular fraction:
1/2 * 1/2 = 1/4
I hope this helps. Thanks for asking.
how do u do this crapp
To determine whether a fraction has a decimal form that terminates or repeats, you need to examine its denominator.
If the denominator of a fraction is a power of 10 (e.g., 10, 100, 1000), the decimal form of the fraction will terminate. For example, the fraction 1/10 can be written as 0.1, which terminates.
On the other hand, if the denominator has prime factors other than 2 and 5, the decimal form of the fraction will repeat. For example, the fraction 1/3 can be written as 0.333..., where the digit 3 repeats infinitely.
Now, let's list the prime factorizations for each fraction you provided:
1/2: The prime factorization of 2 is 2. Therefore, 1/2 does not have any prime factors other than 2.
1/3: The prime factorization of 3 is 3. Therefore, 1/3 does not have any prime factors other than 3.
1/4: The prime factorization of 4 is 2 * 2. Therefore, 1/4 does not have any prime factors other than 2.
1/5: The prime factorization of 5 is 5. Therefore, 1/5 does not have any prime factors other than 5.
1/6: The prime factorization of 6 is 2 * 3. Therefore, 1/6 has prime factors other than 2 and 5.
1/7: The prime factorization of 7 is 7. Therefore, 1/7 does not have any prime factors other than 7.
1/8: The prime factorization of 8 is 2 * 2 * 2. Therefore, 1/8 does not have any prime factors other than 2.
1/9: The prime factorization of 9 is 3 * 3. Therefore, 1/9 does not have any prime factors other than 3.
1/10: The prime factorization of 10 is 2 * 5. Therefore, 1/10 does not have any prime factors other than 2 and 5.
1/11: The prime factorization of 11 is 11. Therefore, 1/11 does not have any prime factors other than 11.
1/12: The prime factorization of 12 is 2 * 2 * 3. Therefore, 1/12 has prime factors other than 2 and 5.