0
What else can I help you with?
How is adding polynomials like adding integers?
The numbers can have a positive or negative sign.
What are three rational numbers between 15 and 16?
Oh, what a lovely question! Let's paint a happy little picture with numbers. Three rational numbers between 15 and 16 could be 15.1, 15.5, and 15.9. Just like adding different colors to a painting, numbers can be placed in between other numbers to create a beautiful sequence. Happy calculating!
Can you add two irrational numbers to get a rational number?
Yes Yes, the sum of two irrational numbers can be rational. A simple example is adding sqrt{2} and -sqrt{2}, both of which are irrational and sum to give the rational number 0. In fact, any rational number can be written as the sum of two irrational numbers in an infinite number of ways. Another example would be the sum of the following irrational quantities [2 + sqrt(2)] and [2 - sqrt(2)]. Both quantities are positive and irrational and yield a rational sum. (Four in this case.) The statement that there are an infinite number of ways of writing any rational number as the sum of two irrational numbers is true. The reason is as follows: If two numbers sum to a rational number then either both numbers are rational or both numbers are irrational. (The proof of this by contradiction is trivial.) Thus, given a rational number, r, then for ANY irrational number, i, the irrational pair (i, r-i) sum to r. So, the statement can actually be strengthened to say that there are an infinite number of ways of writing a rational number as the sum of two irrational numbers.
Why is the sum of any two rational numbers a rational number?
== == The set of natural numbers is {1, 2, 3, ...} The set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ...} All natural numbers are integers. A rational number is an integer 'A' divided by a natural number 'B'; i.e. A / B. Suppose we add two rational numbers: A / B + C / D This is algebraically equal to (AD + BC) / BD Since A and C are integers and B and D are natural numbers, then AD and BC are integers because two integers multiplied yields an integer. If you add these together, you get an integer. So we have an integer (AD + BC) on the top. B and D are natural numbers. Multiply them and you get a natural number. So we have a natural number BD on the bottom. Since (AD + BC) / BD is a rational number, A / B + C / D is a rational number. OLD ANSWER: Since a rational number is, by definition, one that can be written a a ratio of 2 integers, adding 2 rationals is tantamount to adding 2 fractions, which always produces a fraction (ratio of 2 integers) for the answer, so the answer is, by definition, rational. llllaaaaaaaaaaaaaalllllllllaaaaaaaaaalllllllllllaaaaaaaaaaaalaaaaaaaa
How do you Find two rational and irrational nos. between 2.1 and 2.11?
For two rational numbers select any terminating or repeating decimal number which starts with 2.10 and for irrational numbers you require a non-terminating, non-repeating decimal which also starts with 2.10.
When adding two rational numbers with different signs the sum will be zero Is this aways sometimes or never true?
sometimes true (when the rational numbers are the same)
What is the rule in adding rational numbers?
what is the rule in adding rational numbers
Wats the rule for adding rational numbers with the same sign?
Wats are temples from South East Asia and, as far as I am aware, they do not dicatate any rules for adding rational numbers.
Is it true When adding two negative rational numbersthe sum will be negative?
Yes, when adding two negative rational numbers, the sum will always be negative. This is because adding two negative values results in a greater negative value, effectively moving further away from zero on the number line. For example, adding -2 and -3 gives -5, which is negative.
IF you are adding two rational numbers with different signs?
Then you are adding two rational numbers with different signs! No big deal!
How are adding and subtracting integers related to adding and subtracting other rational numbers?
Adding and subtracting integers is a specific case of adding and subtracting rational numbers, as integers can be expressed as rational numbers with a denominator of 1. The fundamental rules for adding and subtracting integers—such as combining like signs and using the number line—apply similarly to other rational numbers, which can include fractions and decimals. The operations are governed by the same principles of arithmetic, ensuring that the properties of addition and subtraction, such as commutativity and associativity, hold true across both integers and broader rational numbers. Thus, mastering integer operations provides a solid foundation for working with all rational numbers.
How do you add rational numbers?
By finding their common denominator & adding the top numbers of-the fractions. : )
When adding two positive rational numbers will the sum always be zero?
No
Is a natural number rational?
Yes
How is adding positive and negative numbers similar to adding integers?
It is the same thing, since "integers" consists of positive and negative numbers (and zero).
How do you substract negative numbers?
Subtracting negative numbers is exactly the same as adding the positive number.
How is adding to negative integers the same as and different from subtracting two positive integers?
No- adding negative numbers is like adding positive numbesr , except the answer is negative.
