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Is there any case where the quotient of two integers wouldn't have a decimal answer?
Wiki User
∙ 7y ago
Try these: 1/7, 2/7, 3/7. 4/7. 5/7. and 6/7. All are infinitely repeating numbers and thus cannot be written as simple decimals. These are not the only ones.
Wiki User
∙ 7y ago
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What is the quotient of two integers with the same sing?
The quotient has a positive sing in that case.
How do you place the decimal point in the quotient when dividing a decimal by a whole number?
The decimal point goes in the quotient the moment you reach the decimal point in the dividend and need to use the digit in the tenths column. When using the "Bus stop" method, the digits will line up so that the decimal point goes in the quotient directly above the decimal point in the dividend.Using the Bus stop method, it is easiest to put the decimal point in the quotient above the decimal point in the dividend first (before any any division calculation is done) and then do the division by ignoring the decimal points and putting digits in the quotient as normal; except if once all the digits of the dividend have been used there is a non-zero remainder, zeros can be added to the end of the dividend as they are trailing zeros after a decimal point which make no difference to the number.eg dividing 1.2 by 5:First place the decimal point in the quotient over the decimal point in the dividend:_____.___------5_|_1.2Now divide as normal:____0.2__------5_|_1.2____1 0____----______2Used up all the digits of the dividend but have a remainder, so add trailing zeros after the decimal point and finish the division:____0.24__--------5_|_1.2000____1 0____----______20______20______---_______0Only needed one extra 0, but it did not hurt putting three of them.→ 1.2 ÷ 5 = 0.24Sometimes the decimal may recur or not terminate; in that case, stop when the required level of accuracy is reached (rounding by calculating a further digit and using that as the deciding digit).
Which choice is the same as the quotient of a number and itself?
The number 1. Unless the number is 0, in which case, the quotient is not defined.
What is the integers for 207?
207 is the integer in this case.
Can a remainder be larger than the quotient?
Yes, it can be , for example 9/5 gives you quotient=1 and remainder =4 and other case 16/5 gives you quotient =3 and remainder = 1
What is the quotient of two integers with the same sing?
The quotient has a positive sing in that case.
What is the quotient of two integers of 3.2?
It looks like you are asking what quotient of two integers equals 3.2 ; if that is the case, then: 3.2 = 32/10, which simplified is 16/5.
How do you write a rational number as a repeating decimal?
Follow these steps:write the rational number in the form p/q where p and q are integers and q > 0.divide p by q.if the division process goes into an infinite loop, in which case the decimal representation is the quotient which will be a repeating decimal.if the division process comes to a stop then reduce the last digit of the quotient by 1 and add an infinite string of 9s.
How do you show the number 15 is rational by writing it as a quotient of two integers?
You can write any integer as a fraction, by placing the number one in the denominator. In this case, 15/1.
Why are fractions rational numbers but not every rational number is a fraction?
'Rational' in a mathematic sense means 'can be written as a finite fraction'. Since you can obviously write a fraction as a fraction - by a triviality - it is rational. Rational numbers also include the integers; however these can also be written as fractions in the form a/1, so technically every rational number is a fraction.Note to the author of the above quote: - I don't believe that is correct. Here's why:A fraction is a number that expresses part of a whole as a quotient of integers (where the denominator is not zero).A rational number is a number that can be expressed as a quotient of integers (where the denominator is not zero), or as a repeating or terminating decimal. Every fraction fits the first part of that definition. Therefore, every fraction is a rational number.But even though every fraction is a rational number, not every rational number is a fraction.Why? Consider this:Every integer (all the whole numbers, including zero, and their negatives....-3,-2,-1,0,1,2,3...) is a rational number, because it can be expressed as a quotient of integers, as in the case of 4 = 8/2 or 1 = 3/3 or -3 = 3/-1 and so on. So integers such as 4 or 1 can be expressed as the quotient of integers.But an integer is not a fraction. 4 is an integer, but it is not a fraction. 4 is not expressed as the quotient of integers. The difference here is in the wording.A fraction is a number that expresses part of a whole. An integer does not express a part. It only expresses a whole number.A rational number is a number that can be expressed as a quotient of integers, or as part of a whole, but fraction is a number that is (must be) expressed as a quotient of integers, or as part of a whole - there is a difference. The difference is subtle, but it is real.In a nutshell, the fractions are a subset of the rational numbers. The rational numbers contain the integers, and fractions don't.
Are fraction rational number?
A fraction is a number that expresses part of a whole as a quotient of integers (where the denominator is not zero).A rational number is a number that can be expressed as a quotient of integers (where the denominator is not zero), or as a repeating or terminating decimal. Every fraction fits the first part of that definition. Therefore, every fraction is a rational number.But even though every fraction is a rational number, not every rational number is a fraction.Why? Consider this:Every integer (all the whole numbers, including zero, and their negatives....-3,-2,-1,0,1,2,3...) is a rational number, because it can be expressed as a quotient of integers, as in the case of 4 = 8/2 or 1 = 3/3 or -3 = 3/-1 and so on. So integers such as 4 or 1 can be expressed as the quotient of integers.But an integer is not a fraction. 4 is an integer, but it is not a fraction. 4 is not expressed as the quotient of integers. The difference here is in the wording.A fraction is a number that expresses part of a whole. An integer does not express a part. It only expresses a whole number.A rational number is a number that can be expressed as a quotient of integers, or as part of a whole, but fraction is a number that is (must be) expressed as a quotient of integers, or as part of a whole - there is a difference. The difference is subtle, but it is real.In a nutshell, the fractions are a subset of the rational numbers. The rational numbers contain the integers, and fractions don't.Note: Mathematicians do not generally use the term "fractions." They usually only talk about rational numbers. Fractions are more or less a term that is used for pedagogical reasons.It's kind of funny. Someone uses a term not used in math to teach math, then makes up tons of tests about "fractions, improper and proper fractions," etc. and tests you on them, even though they are not mathematical terms. Go figyah!
Is -0.24245 a rational or irrational number?
If a decimal terminates (as this one does) or it has a repeating pattern (an example would be if it was 0.242424....) then the decimal can be represented as a ratio of two integers, and is rational.In this case: -4849/20000, so it is rational.
How is dividing decimals and dividing whole numbers the same?
If you are making use of long division method, the process of dividing a whole number is actually a subset of the process of dividing the decimals. While dividing both you may get a quotient with decimal places. Some exceptions to this do exist in case of whole numbers. Like when you are dividing 100 by 2, the quotient 50 has no decimal places.
Is every rational number a fraction?
Every fraction is a rational number, but not every rational number is a fraction.A fraction is a number that expresses part of a whole as a quotient of integers (where the denominator is not zero).*A rational number is a number that can be expressed as a quotient of integers (where the denominator is not zero), or as a repeating or terminating decimal. Every fraction fits the first part of that definition. Therefore, every fraction is a rational number.Both 22/7 and 1/3 are fractions, therefore they are both rational numbers. They also are repeating decimals, as 22/7 = 3.142857142857142857... (notice that the 142857 repeats) and as 1/3 = .333...An irrational number, on the other hand, neither terminates nor repeats.(The confusion about 22/7 may come because that fraction is often used to represent the number pi. It is not the number pi, just an approximation. The number pi is a decimal that begins 3.1415... and continues on without terminating or repeating. )But even though every fraction is a rational number, not every rational number is a fraction. Basically because rational numbers do not have to express a part of a whole. It can express a whole, as in an integer. And an integer is not a fraction.
How do you find the mean of 5 integers?
Add the integers together, then divide it by the number of integers there are, (in this case 5)
How do you place the decimal point in the quotient when dividing a decimal by a whole number?
The decimal point goes in the quotient the moment you reach the decimal point in the dividend and need to use the digit in the tenths column. When using the "Bus stop" method, the digits will line up so that the decimal point goes in the quotient directly above the decimal point in the dividend.Using the Bus stop method, it is easiest to put the decimal point in the quotient above the decimal point in the dividend first (before any any division calculation is done) and then do the division by ignoring the decimal points and putting digits in the quotient as normal; except if once all the digits of the dividend have been used there is a non-zero remainder, zeros can be added to the end of the dividend as they are trailing zeros after a decimal point which make no difference to the number.eg dividing 1.2 by 5:First place the decimal point in the quotient over the decimal point in the dividend:_____.___------5_|_1.2Now divide as normal:____0.2__------5_|_1.2____1 0____----______2Used up all the digits of the dividend but have a remainder, so add trailing zeros after the decimal point and finish the division:____0.24__--------5_|_1.2000____1 0____----______20______20______---_______0Only needed one extra 0, but it did not hurt putting three of them.→ 1.2 ÷ 5 = 0.24Sometimes the decimal may recur or not terminate; in that case, stop when the required level of accuracy is reached (rounding by calculating a further digit and using that as the deciding digit).
Which choice is the same as the quotient of a number and itself?
The number 1. Unless the number is 0, in which case, the quotient is not defined.
