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How are the rules for adding integers applied to operations with rational numbers?

You need the rules of multiplication as well as of addition. But multiplication of integers can be viewed as repeated addition. Thus, if p/q and r/s are two rational numbers then their sum is(p*s + q*r)/(q*s)


Why are the rules for multiplying and dividing rational numbers the same?

The question has no sensible answer because its proposition is not true. Multiplication is commutative, division is not, so the rules are NOT the same.


Is -14 a rational or irrational number?

14 is rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.


What is the adding integers and rational number rules?

The set of integers is closed under addition so that if x and y are integers, then x + y is an integer.Addition of integers is commutative, that is x + y = y + xAddition of integers is associative, that is (x + y) + z = x + (y + z) and so, without ambiguity, either can be written as x + y + z.The same three rules apply to addition of rational numbers.


What is Adding integers and rational number rules?

The set of integers is closed under addition so that if x and y are integers, then x + y is an integer.Addition of integers is commutative, that is x + y = y + xAddition of integers is associative, that is (x + y) + z = x + (y + z) and so, without ambiguity, either can be written as x + y + z.The same three rules apply to addition of rational numbers.


What are the rules of dividing integers?

It will be the same as dividing positives but if it is a negetive divided by a postive the answer will still be negative


What are the rules for dividing regulars numbers?

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Why are rules different for integers comppared to natural and whole numbers?

Since whole numbers are the same as integers, there are no different rules! The only way in which the rules for natural numbers is different is that the set does not contain the additional opposites of numbers (in other words, the set is not closed under subtraction).


What is the rules of integers in multiplication?

Integers are whole numbers. 1 3/4 is not a integer whereas 1 is.


Are the rules for multiplying and dividing signed integers different or the same?

The rules are not the same.Multiplication is commutative whereas division is not.Multiplication is associative whereas division is not.


What are the rules for division of integers?

Any integer can be divided by any non-zero integer, and the result is a rational number.


Which operation of rational numbers lets you add all the numerators then copy the denominator?

Operations on rational numbers refer to the mathematical operations carrying out on two or more rational numbers. A rational number is a number that is of the form p/q, where: p and q are integers, q ≠ 0. Some examples of rational numbers are: 1/2, −3/4, 0.3 (or) 3/10, −0.7 (or) −7/10, etc. We know about fractions and how different operators can be used on different fractions. All the rules and principles that apply to fractions can also be applied to rational numbers. The one thing that we need to remember is that rational numbers also include negatives. So, while 1/5 is a rational number, it is true that −1/5 is also a rational number. There are four basic arithmetic operations with rational numbers: addition, subtraction, multiplication, and division.