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Numbers become a repeating decimal when dividing by ANY whole number, except when (if the division, expressed as a fraction, is in simplest terms) the denominator has no prime factors other than 2 and 5.The reason for this is related to the fact that our decimal system is base 10, and 10 is made up of the factors 2 and 5. Any denominator with other factors cannot be exactly expressed as a terminating decimal. That includes denominators 3, 6, 7, 9, 11, 12, 13, 14, 15, 17, 18, 19, 21, etc.
Wiki User
∙ 8y ago
Wiki User
∙ 8y agoSome do, some don't. 27 divided by 9 equals 3. You can also get repeating decimals with other divisors.
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An irrational number can become rational by dropping a few decimal places?
An irrational number can become rational by dropping a few decimal places. Ans 2. An irrational number can produce a rational by being truncated as desired. The square root of 2 is often truncated to 1.414, and is useful in all sorts of technologies at that accuracy. However, it is no longer the square root of 2 ! It is often a useful approximation, but to a mathematician it is a queer duck.
Eight to the negative fourth power?
Whenever you have a number to the negative power, the number would become a fraction so that the power could be positive: 8-4 = 1/84 which results in 1/4096 = 2.4414x10-4 (decimal form)
What 2 numbers multiplied together equal negative 5?
1*(-5) 5*(-1) Those are the only two whole number equations that equal (-5). If you are looking for more than just whole numbers any two numbers you can multiply to equal positive 5, if you make one value negative your product will become negative. (i.e. 2*2.5=5 | (-2)*2.5=(-5))
What is 3 percent of 11 million?
I'd start by figuring 1% of 11 million, and then tripling that answer. To get 1% of anything, move the decimal two places to the left. So 1,000,000. will become a "1" followed by 4 zeros, not 6 zeros. That's 10,000. Ten thousand. Triple it = thirty thousand.
What is the smallest set of numbers closed under subtraction?
Any one of the sets of the form: {kz : where k is any fixed integer and z belongs to the set of all integers} Thus, k = 1 gives the set of all integers, k = 2 is the set of all even integers, k = 3 is the set of all multiples of 3, and so on. You might think that as k gets larger the sets become smaller because the gaps between numbers in the set increases. However, it is easy to prove that the cardinality of each of these infinite sets is the same.
What fractions could become a repeating decimal?
Any fraction with a denominator which has a prime factorization that includes any prime other than 2 or 5, it can produce repeating decimals.If the prime factorization of the denominator does not include 2 nor 5 then the decimal representation will be a repeating decimal.
When a rational fraction is divided to form a decimal value it become a terminating or what decimal?
finite
What is the name of A Repeating Number?
A repeating decimal is sometimes called a recurring decimal. The main idea is that at some point it must become periodic. That is to say, a certain part of the decimal must repeat, even though not all of it repeats. The parts that repeats is called the repetend. One very important idea is the a real number has a repeating decimal representation if and only if it is rational.
Why do numbers get bigger when you divide a decimal?
This has absolutely nothing to do with decimals. For example, any positive number become smaller if divided by any number that is greater than 1: whether in rational form or decimal form.
Does a decimal's value become bigger if there is more numbers?
yes
How to create n equivalent representation for a fraction when given the decimal?
There are three different situations, corresponding to the three types of decimal numbers: terminating, repeating and those which are neither terminating nor repeating. Terminating: If the decimal number has d digits after the decimal point, then rename it as a fraction whose numerator is the decimal number without the decimal point, and the denominator is 10d or 1 followed by d zeros. For example, 34.567 d = 3 so the denominator is 1000. and the fraction is 34567/1000. Repeating: Until you become expert at this I suggest you do this in two stages (using c and d separately). Suppose there are c digits after the decimal place where the digits are non-repeating, after which you get a repeating pattern of a string of d digits. Then the numerator is the old original string including one lot of the repeated digits minus the original string with none of the repeating digits. The denominator is 10c*(10d - 1), which is a string of d 9s followed by c 0s. For example 123.26159159… There are 2 digits, "26", after the decimal point before the repeats kick in so c = 2, and the repeating string "159" is 3 digits long so d = 3. So the numerator is 12326159 – 12326 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900. Non-terminating and non-repeating: There is no way to get a proper fraction since, by definition, this is an irrational number. The best that you can do is to round it to a suitable number of digits and then treat that answer as a terminating decimal. In all cases, you should check to see if the fraction can be simplified.
How do you get a fraction from a decimal number?
There are three different situations, corresponding to the three types of decimal numbers: terminating, repeating and those which are neither terminating nor repeating. Terminating: If the decimal number has d digits after the decimal point, then rename it as a fraction whose numerator is the decimal number without the decimal point, and the denominator is 10d or 1 followed by d zeros. For example, 34.567 d = 3 so the denominator is 1000. and the fraction is 34567/1000. Repeating: Until you become expert at this I suggest you do this in two stages (using c and d separately). Suppose there are c digits after the decimal place where the digits are non-repeating, after which you get a repeating pattern of a string of d digits. Then the numerator is the old original string including one lot of the repeated digits minus the original string with none of the repeating digits. The denominator is (10d - 1)*10c, which is a string of d 9s followed by c 0s. For example 123.26159159… There are 2 digits, "26", after the decimal point before the repeats kick in so c = 2, and the repeating string "159" is 3 digits long so d = 3. So the numerator is 12326159 – 12326 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900. Non-terminating and non-repeating: There is no way to get a proper fraction since, by definition, this is an irrational number. The best that you can do is to round it to a suitable number of digits and then treat that answer as a terminating decimal. In all cases, you should check to see if the fraction can be simplified.
How do i change a decimal to a fraction?
There are three different situations, corresponding to the three types of decimal numbers: terminating, repeating and those which are neither terminating nor repeating. Terminating: If the decimal number has d digits after the decimal point, then rename it as a fraction whose numerator is the decimal number without the decimal point, and the denominator is 10d or 1 followed by d zeros. For example, 34.567 d = 3 so the denominator is 1000. and the fraction is 34567/1000. Repeating: Until you become expert at this I suggest you do this in two stages (using c and d separately). Suppose there are c digits after the decimal place where the digits are non-repeating, after which you get a repeating pattern of a string of d digits. Then the numerator is the old original string including one lot of the repeated digits minus the original string with none of the repeating digits. The denominator is 10c*(10d - 1), which is a string of d 9s followed by c 0s. For example 123.26159159… There are 2 digits, "26", after the decimal point before the repeats kick in so c = 2, and the repeating string "159" is 3 digits long so d = 3. So the numerator is 12326159 – 12326 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900. Non-terminating and non-repeating: There is no way to get a proper fraction since, by definition, this is an irrational number. The best that you can do is to round it to a suitable number of digits and then treat that answer as a terminating decimal. In all cases, you should check to see if the fraction can be simplified.
Is decimal a rational number?
It depends. A terminating decimal is a rational number. A decimal which, after a finite number of places, becomes a repeating (or recurrent) decimal is also a rational number. A decimal that is not terminating, nor [eventually] settles into a recurring pattern is not a rational number. Note that the decimal need not become recurring immediately.
How do you turn a decimals into a fraction?
There are three different situations, corresponding to the three types of decimal numbers: terminating, repeating and those which are neither terminating nor repeating. Terminating: If the decimal number has d digits after the decimal point, then rename it as a fraction whose numerator is the decimal number without the decimal point, and the denominator is 10d or 1 followed by d zeros. For example, 34.567 d = 3 so the denominator is 1000. and the fraction is 34567/1000. Repeating: Until you become expert at this I suggest you do this in two stages (using c and d separately). Suppose there are c digits after the decimal place where the digits are non-repeating, after which you get a repeating pattern of a string of d digits. Then the numerator is the old original string including one lot of the repeated digits minus the original string with none of the repeating digits. The denominator is 10c*(10d - 1), which is a string of d 9s followed by c 0s. For example 123.26159159… There are 2 digits, "26", after the decimal point before the repeats kick in so c = 2, and the repeating string "159" is 3 digits long so d = 3. So the numerator is 12326159 – 12326 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900. Non-terminating and non-repeating: There is no way to get a proper fraction since, by definition, this is an irrational number. The best that you can do is to round it to a suitable number of digits and then treat that answer as a terminating decimal. In all cases, you should check to see if the fraction can be simplified.
How do you convert a percentage to a fraction?
There are three different situations, corresponding to the three types of decimal numbers: terminating, repeating and those which are neither terminating nor repeating. Terminating: If the decimal number has d digits after the decimal point, then rename it as a fraction whose numerator is the decimal number without the decimal point, and the denominator is 10d or 1 followed by d zeros. For example, 34.567 d = 3 so the denominator is 1000. and the fraction is 34567/1000. Repeating: Until you become expert at this I suggest you do this in two stages (using c and d separately). Suppose there are c digits after the decimal place where the digits are non-repeating, after which you get a repeating pattern of a string of d digits. Then the numerator is the old original string including one lot of the repeated digits minus the original string with none of the repeating digits. The denominator is 10c*(10d - 1), which is a string of d 9s followed by c 0s. For example 123.26159159… There are 2 digits, "26", after the decimal point before the repeats kick in so c = 2, and the repeating string "159" is 3 digits long so d = 3. So the numerator is 12326159 – 12326 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900. Non-terminating and non-repeating: There is no way to get a proper fraction since, by definition, this is an irrational number. The best that you can do is to round it to a suitable number of digits and then treat that answer as a terminating decimal. In all cases, you should check to see if the fraction can be simplified.
How do you put decimals into a mixed number?
The numbers to the left of the decimal are the whole number. The numbers to the right become the fraction. 9.37 = 9 and 37/100
