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How is solving an equation that involves rational numbers similar to solving an equation that involves intergets?
Wiki User
∙ 11y ago
If you multiply each term of the first type of equation by a common multiple of all the denominators then you will have an equation of the second type.
For example, if you have 2/3*y = 4/5*x + 7/9 then multiplying by the LCM of 3, 5, 9) = 45, gives
30*y = 39*x + 35: all integers!
Wiki User
∙ 7y ago
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What set does -1 belong to intergets or rational or both?
Integers are numbers with no fractional part. Rational numbers are those that can be expressed as a fraction (unlike pi or square root of 2). The number -1 is both because it has no fractional part and can be expressed as -1/1.
What is the difference with equations with integers and equations with rational numbers?
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.
Does the equation 4x equals -20 have a solution over the set of rational numbers?
Yes, it does.
What is true of the discriminant when the two real number solutions to a quadratic equation are rational numbers?
The discriminant must be a perfect square or a square of a rational number.
How would you express the zeros of the equation x2 - 2 equals 0 Are the two zeros of this equation integers rational numbers or irrational numbers?
x = sqrt(2). The zeros are irrational.
Are all coefficients whole numbers in linear functions?
No. The equation 3/2 x + 2/3 y - 7 = 42 is a linear equation. But the coefficients of x and y are both rational numbers, not whole numbers.
How many rational numbers are there between two consecutive rational numbers?
There are no consecutive rational numbers. Between any two rational numbers there are an infinity of rational numbers.
Is 3.9 rational or irrational?
If there are no numbers after the 9 it is rational
Are some rational numbers are not real numbers?
No. Rational numbers are numbers that can be written as a fraction. All rational numbers are real.
Are rational numbers whole numbers?
The set of rational numbers includes all whole numbers, so SOME rational numbers will also be whole number. But not all rational numbers are whole numbers. So, as a rule, no, rational numbers are not whole numbers.
Is the difference of rational numbers a rational number?
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All natural numbers are rational.
Is 6.6 irrational or rational?
6.6 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
