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How is solving an equation that involves rational numbers similar to solving an equation that involves intergets?
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!
What else can I help you with?
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.
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.
How is subtracting rational numbers different then subtracting whole numbers?
Subtracting rational numbers involves managing fractions, which may require finding a common denominator, while subtracting whole numbers is a straightforward process of simple arithmetic. Additionally, rational numbers can result in negative values or fractions, affecting the outcome and interpretation of the result. In contrast, whole numbers are always non-negative integers, making their subtraction simpler and more predictable. Thus, the complexity of operations increases with rational numbers due to their fractional components.
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.
