0
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.
Add your answer:
Earn +20 pts
What is 0.04 divided by 0.032?
1.25
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 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 2 numbers multiplied together equal negative 5?
Oh, what a happy little question! To find two numbers that multiply together to give us a negative result, one number must be positive and the other negative. In this case, the numbers are 5 and -1, because 5 multiplied by -1 equals -5. Just like painting, math can be a beautiful and creative process!
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
