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Is 0.575 a rational number?

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  • Last Updated : 22 Dec, 2021

Numbers are used in various arithmetic values appropriate to convey various arithmetic working like addition, subtraction, multiplication, etc., which are appropriate in daily lives for the cause of calculation. The worth of a number is determined by the digit, its place value in the number, and the stand of the number system. Numbers normally are also known as numerals are the numerical values used for counting, measurements, designating, and calculating elementary quantities. Numbers are the figures used for the cause of measuring or calculating numbers. It is constituted by numerals as 4, 5, 78, etc.

Types Of Numbers

There are different types of numbers. Numbers are distinguished among different sets in number systems based on the relationship they share and the characteristics they reflect. For instance, whole numbers generate from 0 and terminate at infinity. Let’s understand these types  more accurately,

  • Natural numbers: Natural numbers are also known as positive numbers which count from 1 to infinity. The group of natural numbers is shown by ‘N’. It is the integer we normally use for counting. The group of natural numbers can be shown as N = 1, 2, 3, 4, 5, 6, 7,…
  • Whole numbers: Whole numbers are also known as positive numbers it is similar to natural number but it also includes zero, which include 0 to infinity. Whole numbers do not contain fractions or decimals. The group of whole numbers is represented by ‘W’. The group can be shown as W = 0, 1, 2, 3, 4, 5,…
  • Integers: Integers are the group of characters involved in all the positive counting numerals, zero as well as all negative add-up numerals which count from negative infinity to positive infinity. The group doesn’t involve fractions and decimals. The group of integers is expressed by ‘Z‘. The group of integers can be shown as Z = …,-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5,…
  • Decimal numbers: Any integer value that contains a decimal point is a decimal number. It can be represented as 2.5, 0.567, etc.
  • Real number: Real numbers are the group of integers that do not involve any imaginary value. It involves all the positive integers, negative integers, fractions, and decimal values. It is generally represented by ‘R‘.
  • Complex number: Complex numbers are a group of numerals that involve imaginary numbers. It can be represented as x + y where “x” and “y” are real numbers. It is shown by ‘C’.
  • Rational numbers: Rational numbers are the numerals that can be represented as the ratio of two digits. It involves all the digits and can be represented in the expression of fractions or decimals. It is represented by ‘Q’. It can be written in decimals and have endless non-repeating numbers after the decimal point. 

Is 0.575 a rational number?

Solution:

Rational Numbers are the integers which can be represented as fractions of two number and can be written as a positive number, negative number, prime, and even zero is called rational numbers.

It can be written as p/q, where q ≠0

For example, 4/5 is a rational number that represents that 4 numerals are divided by 5 numerals.

Rational numbers can be showed as fractions, decimals, and even zero. All the integers with a non-zero denominator which can be written in p/q form are rational numbers.

Yes, 0.575 is a Rational Number. As rational numbers can be showed as decimals values as well as in the form of fractions. The number can also be written as 575/1000 which is the ratio of two numbers.

Take a look at the below solution:

The number 0.575 can be described as shown below:

=> 0.575 = 575/1000

This can be additionally broken down as,

=> 575/1000 = 23/40

The number 23/40 is the ratio of two number that are 23 digit divided by 40 digit and expressed in fraction form (as p/q where q is not equal to 0).

Similar Questions

Question 1: Is 4 a rational number?

Solution:

4 is a rational number because it can be expressed as the quotient of two integers: 4 ÷ 1.

The number 4 can be described as shown below:

=> 4 = 4/1

This can be additionally broken down as,

=> 40/10 = 8/2

The number 8/2 is the ratio of two number that are 8 digit divided by 2 digit and expressed in fraction form (as p/q where q is not equal to 0).

Question 2: Is 8 a rational number?

Solution:

8 is a rational number because it can be expressed as the quotient of two integers: 8 ÷ 1.

The number 8 can be described as shown below:

=> 8 = 8/1

This can be additionally broken down as,

=> 80/10 = 16/2

The number 16/2 is the ratio of two number that are 16 digit divided by 2 digit and expressed in fraction form (as p/q where q is not equal to 0).

Question 3: Is 9 a rational number?

Solution:

9 is a rational number because it can be expressed as the quotient of two integers: 9 ÷ 1.

The number 9 can be described as shown below:

=> 9 = 9/1

This can be additionally broken down as,

=> 90/10 = 18/2

The number 18/2 is the ratio of two number that are 18 digit divided by 2 digit and expressed in fraction form (as p/q where q is not equal to 0).

Question 4: Is 0.45 a rational number?

Solution:

Yes, 0.45 is a Rational Number. As rational numbers can be showed as decimals values as well as in the form of fractions. The number can also be written as 45/100 which is the ratio of two numbers.

Take a look at the below solution.

The number 0.45 can be described as shown below:

=> 0.45 = 45/100

This can be additionally broken down as,

=> 45/100 = 9/20

The number 9/20 is the ratio of two number that are 9 digit divided by 20 digit and expressed in fraction form (as p/q where q is not equal to 0).

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