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which statement is true about the sum of two rational numbers

by Prof. Hannah Bosco Published 3 years ago Updated 2 years ago
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The sum of two rational numbers is rational. Here is one way to explain why it is true: Any two rational numbers can be written and , where are integers, and and are not zero.

Is it true that the sum of two rational numbers is always rational?

"The sum of two rational numbers is rational." So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.

Which statement is true about the sum of two irrational numbers?

Sum of two irrational numbers is always irrational. No worries! We've got your back.

How do you sum two rational numbers?

0:133:21How do we Add Two Rational Numbers? Part 1 | Don't MemoriseYouTubeStart of suggested clipEnd of suggested clipRemember one golden rule whenever. We compare add or subtract rational numbers we have to get theMoreRemember one golden rule whenever. We compare add or subtract rational numbers we have to get the denominator. Same. For addition the first step is to make the denominator.

Which statement is always true about rational and irrational numbers?

'The sum of a rational number and an irrational number is irrational' This statement is always true. An irrational number can be represented as a non-terminating, non-repeating decimal.

Which statement or statements are true for rational number?

One divided by zero is an example of a rational number. In decimal form, rational numbers continue on forever without ever repeating. Rational numbers can be written as fractions. The square root of four is an example of a rational number.

Can the sum of two rational numbers be irrational?

The sum of a rational number and a rational number is rational. The sum of a rational number and an irrational number is irrational. The sum of an irrational number and an irrational number is irrational. The product of a rational number and a rational number is rational.

Which is the correct method to add rational numbers?

Addition of Rational Numbers To add two or more rational numbers with like denominators, we simply add all the numerators and write the common denominator. For example, add 1/8 and 3/8. Let us understand this with the help of a number line. On the number line, we start from 1/8.

How do you prove the sum of two rational numbers is rational?

0:001:57The proof that the sum of two rational numbers is rational - YouTubeYouTubeStart of suggested clipEnd of suggested clipAnd let Y be equal to C over D where C and D are integers and D is not equal to zero. Then X plus yMoreAnd let Y be equal to C over D where C and D are integers and D is not equal to zero. Then X plus y will be a plus B.

What is the product of two rational numbers?

Answer: The product two rational numbers always result in a rational number.

Is sum of two irrational numbers always irrational?

Sum of two irrational numbers is always irrational.

Which statement is always true?

TautologyTautology: A statement that is always true, and a truth table yields only true results. Contradiction: A statement which is always false, and a truth table yields only false results.

When a rational number is added to an irrational number the result is always?

The sum of any rational number and any irrational number will always be an irrational number.

What is the sum of two irrational numbers?

The sum of two irrational numbers could be either rational or irrational. We can show this through examples: and are each irrational, but their sum is 0, which is rational. and are each irrational, and their sum is irrational.

Is it true the sum of two irrational number is always irrational number?

Sum of two irrational numbers is always irrational.

Is the sum of two irrational numbers always irrational justify your answer?

no, sum of two irrationals need but be irrational always. zero is rational number. hence, justified. hope it helps.

What is the product of 2 irrational numbers?

The multiplication of two irrational numbers is always an irrational number.

Can a fraction be written as a fraction?

It can always be written as a fraction.

Can irrational numbers be written as a ratio?

Irrational numbers cannot be written as a ratio and will not have a terminating or repeating decimal.

Is sum always rational?

I agree with the other person's response. The sum is always rational (it can always be written as a fraction of integers)

Is the third statement false?

The third statement is false since the sum of two rational numbers is not always a repeating decimal.

Why is area rational?

The area is rational because the formula will multiply both rational diagonals and the fraction 1/2. D. The area is irrational because the formula will multiply two decimals by a fraction. C. The area is rational because the formula will multiply both rational diagonals and the fraction 1/2.

Why is the area of a formula irrational?

The area is irrational because the numbers in the formula are irrational and the numbers substituted into the formula are rational. C. The area is rational because the numbers in the formula are rational and the numbers substituted into the formula are rational. D.

Can a fraction be written as a fraction?

A. It can always be written as a fraction.

Is "b" a repeating decimal?

B. It is a repeating or terminating decimal.

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29 hours ago  · answered. Which statement is true about the sum of two rational numbers? A) It can always be written as a fraction. B) It can never be written as a fraction.

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23 hours ago The sum of two rational numbers is rational. Here is one way to explain why it is true: Any two rational numbers can be written and , where are integers, and and are not zero. … If the …

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30 hours ago The sum of two rational numbers will always be an irrational number. an integer. a rational number. a whole number.

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