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If 2 rational number a and b are ordered such that a is less than b then what must be true about the order for their opposites -a and -b?
Wiki User
∙ 6y ago
a < b
→ a - a < b - a
→ 0 < b - a
→ 0 - b < b - a - b
→ -b < -a
→ if a < b then -b < -a which can also be expressed as -a > -b
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoIf a < b then -a > -b.
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How do you put ordered pairs in order?
The convention for the Cartesian coordinate system is, the first number is the x coordinate, and the second number is the y coordinate. That's the order.
What is an ordered set of number or object in which the order helps you predict what comes next?
A sequence, possibly.
If the equation of a function is a rational expression is the function rational?
Yes. Rational functions must contain rational expressions in order to be rational.
To what set of numbers does the number -3.21 belong to?
The rational numbers, the real numbers and sets of higher order which contain the reals such as the complex numbers.
What does order in math mean?
There are more than a math term that use "order". They are:the cardinality or the number of elements in the set in group theory.the smallest positive integer n such that aⁿ = identity.a sub-ring of the ring that satisfies some conditions:That given ring is a ring which is finite-dimensional algebra over the rational number field.The sub-ring spans over the rational root field, such the product of rational number field and the sub-ring is the ring.The sub-ring is the positive-integer lattice of the ring.
How do you order rational numbers when they come in percent forms?
Any percentage is simply a rational number, with the denominator of 100. So multiply them all by 100 and order the resulting rational numbers.
How can a number line be used to compare rational numbers?
because the # line shows the rational #'s in order from least to greatest
How do you check the production of a new car you ordered?
if you have ordered a car especially if it is across the internet you should have an order number, you can take that number and enter it at the website you bought it from and it should tell you if you dont have an order number then call the manufacturer
Is -0.7repeating rational?
Yes. Its rational because you know what number is going to come next. If the numbers were in a random order it would be irrational.
How do you order rational numbers between two consecutive integers?
Subtract rational number A from the other rational number B. If the answer is> 0 then B is bigger than A= 0 then B is equal to A< 0 then B is smaller than A
What is the order from largest to smallest for whole number integers rational numbers natural number irrational numbers and real numbers?
Such numbers cannot be ordered in the manner suggested by the question because: For every whole number there are integers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every integer there are whole numbers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every rational number there are whole numbers, integers, natural numbers, irrational numbers and real numbers that are bigger. For every natural number there are whole numbers, integers, rational numbers, irrational numbers and real numbers that are bigger. For every irrational number there are whole numbers, integers, rational numbers, natural numbers and real numbers that are bigger. For every real number there are whole numbers, integers, rational numbers, natural numbers and irrational numbers that are bigger. Each of these kinds of numbers form an infinite sets but the size of the sets is not the same. Georg Cantor showed that the cardinality of whole numbers, integers, rational numbers and natural number is the same order of infinity: aleph-null. The cardinality of irrational numbers and real number is a bigger order of infinity: aleph-one.
Is there more rational numbers then irrational?
No. There are infinitely many of both but the number of irrational numbers is an order of infinity greater than that for rational numbers.
How can you solve problems by ordering rational numbers from least to greatest?
Convert all the rational numbers to order into equivalent fractions with the same denominator; then they can be ordered by putting the numerators in order from least to greatest. ------------ You can also convert all the numbers to decimals ... this is actually a special case of "equivalent fractions".
Are there more rational numbers or irrational Numbers?
No. The number of irrationals is an order of infinity greater.
Is the set of all rational numbers continuous?
Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.
What is the definition of rational order?
my opinion about rational order is a thinking process
What is the definition for ordered variable?
Ordered Variable is one where you can put the data into order, bt not give it an actual number. The height of a person compared to other's height is an ordered variable.
