Is -4 Rational?

Question

This question was asked in my daughter’s book so, I need this answer

0

1. Any number that can be expressed as p/q is a rational number

0.4

= 4/10

= p/q

So 0.4 is a rational number

2. Is 7 a rational number?

The number -7 is an integer that can be written in the form ab as -71. This number is therefore also a rational number.

Is 10 a rational number?

Any fraction can represent a rational number. The number 1015 is a fraction that is equivalent to 23. The expression 43 represents a rational number. The decimal number 0.75 is also a rational number since it can be expressed as the quotient of two whole numbers, i.e. 34.

Why is 8 a rational number?

Since every whole number can be written as a fraction, every whole number is a rational number. A set of numbers that includes all positive integers and 0 is called an integer.

How do you know if a number is rational?

Rational number: what is it? A number expressed as the quotient of two whole numbers. So 2013, 3/2, -2/3, 1/100 are rational while the square root of 2 or Pi are irrational.

Is 4 a rational number?

Concept of rational numbers

A rational number is a number that can be written as a quotient of two whole numbers, that is, as a fraction. 425, 1 3 frac 13 31 and 618 are fractions.

What are the rational numbers?

Rational number:

A rational number is a number that can be written as a quotient of two whole numbers, that is, as a fraction. 425, 1 3 frac 13 31 and 618 are fractions.

3. What is the difference between rational and irrational numbers?

What are irrational numbers?

Irrational numbers are real numbers that are not rational numbers. Here are some examples of frequently used irrational numbers:

The number (pi) is irrational (Π = 3⋅14159265…), because the decimal value never ends.
√2 is an irrational number. Consider an isosceles equilateral triangle with two sides of equal length, AB and BC. The hypotenuse AC will be √2=1.414213… according to the Pythagorean theorem.
The difference between rational and irrational numbers
Irrational numbers are infinite and non-repeating, while rational numbers are finite and repeating decimals.

Here are some examples of rational numbers:

The number 9 can be expressed as 9/1, 9 and 1 both being whole numbers.
In all trailing decimal forms, 0.5 can be written as 1/2, 5/10, or 10/20.
√81 is a rational number since it can be reduced to 9.
0.7777777 is a rational number with recurring decimals.
Examples of irrational numbers:

The denominator of 5/0 is zero, which makes it an irrational number.
Π is an irrational number, because it is a non-repeating and endless number.
Because it cannot be simplified, the square root of 2 is an irrational number.
Because it does not repeat or end, 0.212112111… is an irrational number.

How to Identify Rational Numbers

A rational number can be expressed as a fraction of whole numbers. Therefore, each of these digits is a rational digit. To determine if a number is rational, check if it meets any of the following criteria:

The given number can be represented as a fraction of integers.
It can be determined whether the decimal expansion of the number is terminated or unterminated.
All rational numbers are integers.

The different types of rational numbers

There are different types of rational numbers. However, it should not be assumed that only rational numbers are fractions of whole numbers. Here are the different types of rational numbers:

Positive rational numbers

If the numerator and denominator of a rational number are both positive integers or both negative integers, the number is said to be positive. In other words, if the numerator and the denominator of a rational number have the same sign, it is positive. Positive rational numbers include numbers like 0.2, 6, or 2/5. In this case, 0.2 can be expressed as 1/5 and 6 as 6/1.

Negative rational numbers

If the numerator and the denominator have a different sign (i.e. one is a positive integer and the other a negative integer), the rational number is said to be negative. For example, the following rational numbers are negative: -1/7, -4/5, -25/11, -10/19, -13/23, while the following rational numbers are positive: -11/-14, 2/3, -3/-4, and 1/2.

Real numbers

Real numbers include all rational numbers. A real number is a number that can be found and used in everyday life. Real numbers are used to count things, rational numbers are used to represent fractions, irrational numbers are used to calculate the square root of a number, and whole numbers are used to measure temperature, etc. The set of real numbers is made up of these many kinds of numbers.

Whole numbers

Since every whole number can be written as a fraction, every whole number is a rational number. A set of numbers that includes all positive integers and 0 is called an integer. Whole numbers are fractions, decimals, and negative values ​​that are not real numbers.

Properties of rational numbers

Here are some of the most important properties of rational numbers. Let’s take a closer look at these features while exploring a list of rational numbers.

Algebraic closure property

The algebraic closure property of rational numbers states that two rational numbers added, subtracted, multiplied, or divided all produce a rational number. Let’s see how this property affects all basic arithmetic operations.

When two rational numbers are combined together in any form, the result is another rational number.

For instance:

½ + ¾ = 10/8 or 5/4

½ – ¾ = -2/8 or -1/4

½ x ¾ = 3/8

½ ÷ ¾ = 2/3

All of the above answers meet the criteria of a rational number.

Commutative property

The commutative property of rational numbers states that adding or multiplying two rational numbers in any order produces the same result. However, if the order of numbers is changed in subtraction and division

4. Is rational everything that is based on reason, on the mind and on the implementation of logic. By extension, this term qualifies what is designed to be practical and efficient. Example: Having rational behavior, rational thoughts, being rational in your choices.