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It is a trivial difference. If you multiply every term in the equation with rational numbers by the common multiple of all the rational numbers then you will have an equation with integers.

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Q: What is the difference with equations with integers and equations with rational numbers?
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Related questions

What is the difference from integer and rational numbers?

There is no difference because all integers or whole numbers are considered to be rational numbers.


Why is rational numbers important?

Extending the set of all integers to included rational numbers give closure under division by non-zero integers. This allows equations such as 2x = 3 to be solved.


Are some integers not rational numbers?

All integers are rational numbers. There are integers with an i behind them that are imaginary numbers. They are not real numbers but they are rational. The square root of 2 is irrational. It is real but irrational.


Why are venn diagrams used?

A.(Integers) (Rational numbers)B.(Rational numbers) (Integers)C.(Integers) (Rational numbers)D.(Rational numbers) (Real numbers)


How Integers In Rational Number Relate?

Integers are aproper subset of rational numbers.


Are fractions integers or rational numbers?

Fractions are not integers. They may or may not be rational numbers.


Are any rational numbers integers?

All integers are rational numbers.


Are all rational numbers integers-?

Rational numbers are integers and fractions


Are the rational numbers a subset of integers?

No, integers are a subset of rational numbers.


Family tree of real numbers?

Start with the set of Natural numbers = N.Combine these with negative natural numbers and you get the set of Integers = Z.Combine these with ratios of two integers, the second of which is positive, and you get the set of Rational numbers = Q.Start afresh with numbers which are not rational, nor the roots of finite polynomial equations. This is the set of transcendental numbers.Combine these with the non-rational roots of finite polynomial equations and you have the set of irrational numbers.Combine the rational and irrational numbers and you have the set of Real numbers, R.


How are integers and rationals numbers different?

All integers are rational numbers, not all rational numbers are integers. Rational numbers can be expressed as fractions, p/q, where q is not equal to zero. For integers the denominator is 1. 5 is an integer, 2/3 is a fraction, both are rational.


Would the difference of a rational number and a rational number be rational?

The difference of two rational numbers is rational. Let the two rational numbers be a/b and c/d, where a, b, c, and d are integers. Any rational number can be represented this way. Their difference is a/b-c/d = ad/bd-cb/bd = (ad-cb)/bd. Products and differences of integers are always integers. This means that ad-cb is an integer, and so is bd. Thus, (ad-cb)/bd is a rational number (since it is the ratio of two integers). This is equivalent to the difference of the original two rational numbers.