# What statement about rational and irrational numbers is always true?

Space and Astronomy‘**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 about irrational numbers is true?

Answer: **Irrational numbers will never be the real numbers**. Step-by-step explanation: This statement is true about irrational number.

## What statement about a rational number is true?

Answer: It says that between any two real numbers, there is always another real number. Rational Numbers: **Any number that can be written in fraction form is a rational number**. This includes integers, terminating decimals, and repeating decimals as well as fractions.

## Which statement is not always true a the sum of a rational number and an irrational number is irrational?

The sum is irrational because **the sum of an irrational number and a rational number is always irrational**.

## Is it true that some irrational numbers are rational?

In mathematics, **the irrational numbers (from in- prefix assimilated to ir- (negative prefix, privative) + rational) are all the real numbers that are not rational numbers**. That is, irrational numbers cannot be expressed as the ratio of two integers.

## Is every irrational number is a real number True or false?

Because real numbers consist of both rational numbers and irrational numbers. **Every irrational number is a real number**. A real number is a number that can be found on the number line. The set of real numbers is denoted by R.

## Is every irrational number a real number give reason for your answer?

i) **Every irrational number is a real number**. This statement is true because the set of real numbers, rational numbers and irrational numbers. For example, √2 is an irrational number which is also a real number. Thus, irrational numbers are a subset of real numbers.

## Is it true that every integer is a rational number?

are known as integers. So we can conclude that every integer can be written in the form of a rational number that is in the form of p/q. ∴ The given statement is true. **Every integer is a rational number.**

## Is rational True False?

Answer: True. **If a number is an integer then it is rational.**

## Is the following statement true or false give reason for your answer every rational number is an integer?

(iii) **Every rational number is an integer**. (i) False, because zero is a whole number but not a natural number. and so it is a rational number.

## Which of the following statement is true every fraction is a rational number every rational number is a fraction every integer is a rational number both A and C?

Mixed Fraction consisting of both Integer Part and Fractional Part can be expressed as an Improper Fraction, which is a quotient of two integers. Hence, we can say every Mixed Fraction is a Rational Number. Thus, **Every Fraction is a Rational Number**.

## Which of the following statement is true every fraction is a rational number every rational number is a fraction every integer is a rational number both first and third?

Since every mixed fraction consisting of an integer part and a fractional part can be expressed as an improper fraction, which is quotient of two integers. Thus, every mixed fraction is also a rational number. Hence, **every fraction is also a rational number**.

## Which of the following statement is true for rational number a B?

**The additive identity of rational number (a/b) is 1**. The additive identity of rational number (a/b) is (-a/b) The additive identity of rational number (a/b) is (b/a) The additive identity of rational number (a/b) is 0.

## Are all fractions rational numbers True or false?

**All fractions are rational numbers** but it is not necessary that all rational numbers are fractions.

## Which of the following statements is true a every fraction is a rational number B every rational number is a fraction C every integer is a ration number’d both A and B?

The Correct Answer is **Rational numbers do not include fractions**. Every fraction is a rational number, but the rational number does not have to be a fraction. Let a/b be a fraction, a and b are natural numbers. Since each natural number is an integer.

## Are all natural numbers integers True or false?

The given statement is True. **Every natural number is a whole number** because integers are those numbers which are starts from 0 to infinity positive and negative and natural numbers are those numbers which are starts from 1 to infinite positive numbers. Natural numbers are all positive integers.

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