How to explain rational numbers, irrational numbers, and how they are different?

Q: List all the forms of rational numbers with example for each form.

A: Given problem is: List all the forms of rational numbers with example for each form.

Q: Describe how equivalence classes can be used to definethe rational numbers as classes of pairs of…

A: To Describe: How equivalence classes can be used to define the rational numbers as classes of pairs…

Q: every rational number is a decimal true or false?

A: We know that rational numbers are of the form of terminating and repeating decimals whereas…

Q: what property of arithmetic tells us that if 5*-3=-15, then -3*5=-15?

A: We need to identify the property according to which we can write as  5×-3 =-15 then, -3×5 =-15

Q: Describe the difference between a rational number and an irrational number.

A: Rational number:                   A rational numbers can be defined as any numberthat can be…

Q: On a number line, what is the midpoint between -2 and 7?

A: The mid point between the -2 and 7 is the value which is in the mid of the -2 and 7.

Q: How a non-terminating non-recurring decimal real number can be represented on a number line?

A: To determine a method to represent non-terminating non-recurring decimal real number can be…

Q: Are the rational numbers closed under addition? Choose the correct answer below. Yes O No

A: Given question :-  Are the rational numbers closed under addition ?

Q: Are the rational numbers closed under addition? ... Choose the correct answer below. Yes O No

A:

Q: Name the rational numbers from the list below.   −4​, 0​, 33​, 9.81​, 11​, 49​, 214​,−15​,…

A: Rational Numbers:A rational number is a number that can be written in the form  pq , where  p  and…

Q: Is the product of 2 and 8 rational or irrational? Explain. HTML Edi

A: Product of 2 and 8 2×8=16=4

Q: Give an example of an irrational number that greater than 10:

A:

Q: Express the interval shown on the number line in interval notation. -12 -10 -8 -6 -4 4. 6. 10

A:

Q: Part A. Ranional & Irational Numbers 1. For each number, state if the number is rational or…

A: Kindly keep a note in step 1️⃣ stating that as per our guidelines we are supposed to answer only 1️⃣…

Q: Express the interval shown on the number line in interval notation. -12 -10 -8 -6 -4 -2 4 6. 8 10 12

A: see below the answer

Q: can you help me with rational numbers on the number line

A:

Q: What do you think? Why did mathematicians create these different categories? Why may it be helpful…

A: In mathematics the mathematicians the whole numbers, integers and rational numbers. Because of easy…

Q: Identify the rational number {5, v7, /16, 3, 3.1458....} O {V7, 3.1458...} O (5, V16, 2} O{V7, V16,…

A:

Q: Which phrase does NOT describe a rational number? A. integer number B. repeating decimal C.…

A: A. integer values can be represented as  a rational number.   B. repeating decimal values can be…

Q: which decimals are rational numbers? select all that apply.

A:

Q: Explain the relationships and differences among real numbers, rational numbers, and irrational…

A: The relationships and differences among real numbers, rational numbers and irrational numbers.

Q: what type of number is the square root of -6, natural, integer, rational or real

A: To identify  as natural, integer, rational or real.

Q: Express the interval shown on the number line in interval notation. -12 -10 -8 -6 -4 -2 0 2 4 6 8 10…

A: In this question we have to define the interval shown on the number line in interval notation.

Q: Which diagram best represents the relationship among rational numbers, whole numbers, and integers…

A: Here we have to determine the relationship among the rational numbers,  whole numbers, and integers.…

Q: True or False Any nonzero integer divided by 0 equals 0.

A: False

Q: how do i order rational and irrational numbers

A:

Q: Rational numbers such as 2 and - 1, are examples of numbers. equivalent

A: the given numbers are 234 and -112 both the numbers are not same, therefore they are not equivalent.…

Q: Determine whether the statement Every decimal with a repeating pattern of digits is a rational…

A: Consider the given statement, Every decimal with a repeating pattern of digits is a rational number…

Q: What kind of number is the number e? It's an irrational number, meaning it cannot be written as a…

A: Rational number: the numbers which can be written in the form of fraction they are known as rational…

Q: √126

A: Given problem:- 126 is a rational or irrational number

Q: Do you think 3√2 is a rational or an irrational number? Defend your answer.

A: Do you think 3√2 is a rational or an irrational number? .

Q: If a rational number times an irrational number is

A:

Q: Name the integers and the rational numbers in the set{ - 3, 0, √2, 6/5, π }.

A: { - 3, 0, √2, 6/5, π }

Q: Explain how the sets of numbers (counting, whole, integer, rational, irrationals, reals

A: Concept:   A branch of mathematics which deals with symbols and the rules for manipulating those…

Q: Why do these rational numbers have terminating decimal? 1/30, 1/32, 1/40, and 3/60.

A: The number is said to be terminating if its denominator is in form of 2x5y. Simplify each number and…

Q: The set of rational numbers is closed under division. True or False?

A:

Q: How do the whole numbers differ from the natural numbers?

A: Explain How the whole numbers differ from the natural numbers

Q: What is the difference between rational numbers and irrational numbers? (give an example)

A: Difference between rational and irrartional numbers.

Q: Is multiplication a binary operation on the set of rational number? If yes, why? If no, explain and…

A: Rational numbers are numbers that can be expressed in the form of pq, where p and q are integers.…

Q: Calculatrs 2. Find 3 rational number between and Put in fractional form. (A number line may help.) 4…

A:

Q: Is -3 a integer, rational, irrational or real number?

A: We have to find

Q: Would the product of a rational and an irrational number be a rational or irrational?

A:

Q: Consider the set of rational numbers under the operation of addition. What is the inverse of 9?

A:

Q: In your own words clearly distinguish and differentiate between rational numbers and irrational…

A: Rational numbers and Irrational numbers are part of real numbers, in fact we can divide real numbers…

Q: Provide proof of why is it that a positive real number multiplied by a negative real number yiclds a…

A: Let's find.

Q: Express the interval shown on the number line in interval notation. -12 -10 -8 -6 -4 -2 2 4 8 10 12

A:

Q: Rational or Irrational.

A:

Q: 8. Use a direct proof to show that the sum of two rational numbers is rational.

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.