The following are two possible breakdowns. Positive, zero and negative. Integer, fraction and mixed.
Because they can be expressed as a fraction
When the sum of the negatives is an integer is when the sum is a whole number
Because they can be expressed as fractions
It is a rational fraction: eithera proper fraction such as 2/3,an improper fraction such as 4/3 ora mixed fraction, such as 1 1/3.Or it can be the negative of any one of the above.
A mixed number is a rational number. Mixed numbers are not a rational number but many of them.
The following are two possible breakdowns. Positive, zero and negative. Integer, fraction and mixed.
Yes, the number 88 is rational. A "rational number" is any number that can be expressed as a ratio of integers. That is A/B where A and B are integers, and not zero. Rational numbers include all positive and negative integers and all positive and negative fractions (and mixed numbers when expressed as a fraction).
Because they can be expressed as a fraction
yes
Yes.A mixed number is a whole number plus a fraction.Fractions are rational, that is of the form c/dWhole numbers are rational - put them over 1 to form a[n improper] fraction a/b, eg 5 = 5/1The sum of two rational numbers is rational.
-9.6 is a negative, real, mixed number. It's the ratio of -96 to 10, so it's rational.
No, the set of mixed numbers is a subset of the set of rational numbers. For example the mixed number 1 ¼ is the same as the improper fraction 5/4 [a rational number]. Note that it is a subset, because integers are also rational numbers, but a mixed number will not be an integer. Also, any fraction between 0 and 1 will not be a mixed number.
When the sum of the negatives is an integer is when the sum is a whole number
Because they can be expressed as fractions
It is a rational fraction: eithera proper fraction such as 2/3,an improper fraction such as 4/3 ora mixed fraction, such as 1 1/3.Or it can be the negative of any one of the above.
In any case, being the product of two rational numbers, it will also be rational. It can either be another mixed number, or it may happen to be an integer.