University of Kwazulu-Natal

1 3 Real Numbers And The Number Line Showme Com

Bonisiwe Shabane
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1 3 real numbers and the number line showme com

Are you sure you want to remove this ShowMe? You should do so only if this ShowMe contains inappropriate content. Are you sure you want to remove this ShowMe? You should do so only if this ShowMe contains inappropriate content. Here is your free content for this lesson! 1-3 Assignment - Real Numbers and the Number Line

1-3 Bell Work - Real Numbers and the Number Line 1-3 Exit Quiz - Real Numbers and the Number Line 1-3 Guide Notes SE - Real Numbers and the Number Line Here are the sample resources for Algebra 1 Lesson 1-3 Real Numbers and the Number Line. \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

\( \newcommand{\dsum}{\displaystyle\sum\limits} \) \( \newcommand{\dint}{\displaystyle\int\limits} \) \( \newcommand{\dlim}{\displaystyle\lim\limits} \) A setAny collection of objects. is a collection of objects, typically grouped within braces { }, where each object is called an elementAn object within a set.. For example, {red, green, blue} is a set of colors.

A subsetA set consisting of elements that belong to a given set. is a set consisting of elements that belong to a given set. For example, {green, blue} is a subset of the color set above. A set with no elements is called the empty setA subset with no elements, denoted ∅ or { }. and has its own special notation, { } or ∅. When studying mathematics, we focus on special sets of numbers.

The set of natural (or counting) numbersThe set of counting numbers {1, 2, 3, 4, 5, …}., denoted N, is The three periods (…) is called an ellipsis and indicates that the numbers continue without bound. The set of whole numbersThe set of natural numbers combined with zero {0, 1, 2, 3, 4, 5, …}., denoted W , is the set of natural numbers combined with zero. The set of integersThe set of positive and negative whole numbers combined with zero {…, −3, −2, −1, 0, 1, 2, 3, …}., denoted Z, consists of both positive and negative whole numbers, as... Notice that the sets of natural and whole numbers are both subsets of the set of integers. Real numbers can be represented on a number line, which is a straight line that represents the integers in equal intervals.

Both positive and negative integers can be represented on a number line in a sequence. This line extends indefinitely at both ends. Number lines represent real numbers i.e natural numbers, whole numbers, integers, rational numbers, and irrational numbers, and are used as a reference for comparing and ordering numbers. The set of real numbers is the union of the set of rational numbers Q and the set of irrational numbers Q'. Therefore, all the numbers such as natural numbers, whole numbers, integers, rational numbers, and irrational numbers are subsets of the set of real numbers. The set of real numbers is represented by R.

The table below represents the number set included in the set of real numbers. Since we know that real numbers can be rational numbers or irrational numbers, every real number can be represented by a unique point on the number line. A real number line simply called a number line, represents real numbers with unique points associated with each number on the line. The point associated with real numbers is called a coordinate. In the number line, the number 0 is called the origin. All the positive numbers or integers are represented on the right side of the origin, and the negative numbers or integers are represented on the left side of the origin.

Here is an image that represents both the negative and positive numbers on a number line.

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Are You Sure You Want To Remove This ShowMe? You

Are you sure you want to remove this ShowMe? You should do so only if this ShowMe contains inappropriate content. Are you sure you want to remove this ShowMe? You should do so only if this ShowMe contains inappropriate content. Here is your free content for this lesson! 1-3 Assignment - Real Numbers and the Number Line

1-3 Bell Work - Real Numbers And The Number Line

1-3 Bell Work - Real Numbers and the Number Line 1-3 Exit Quiz - Real Numbers and the Number Line 1-3 Guide Notes SE - Real Numbers and the Number Line Here are the sample resources for Algebra 1 Lesson 1-3 Real Numbers and the Number Line. \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smas...

\( \newcommand{\dsum}{\displaystyle\sum\limits} \) \( \newcommand{\dint}{\displaystyle\int\limits} \) \( \newcommand{\dlim}{\displaystyle\lim\limits} \) A

\( \newcommand{\dsum}{\displaystyle\sum\limits} \) \( \newcommand{\dint}{\displaystyle\int\limits} \) \( \newcommand{\dlim}{\displaystyle\lim\limits} \) A setAny collection of objects. is a collection of objects, typically grouped within braces { }, where each object is called an elementAn object within a set.. For example, {red, green, blue} is a set of colors.

A SubsetA Set Consisting Of Elements That Belong To A

A subsetA set consisting of elements that belong to a given set. is a set consisting of elements that belong to a given set. For example, {green, blue} is a subset of the color set above. A set with no elements is called the empty setA subset with no elements, denoted ∅ or { }. and has its own special notation, { } or ∅. When studying mathematics, we focus on special sets of numbers.

The Set Of Natural (or Counting) NumbersThe Set Of Counting

The set of natural (or counting) numbersThe set of counting numbers {1, 2, 3, 4, 5, …}., denoted N, is The three periods (…) is called an ellipsis and indicates that the numbers continue without bound. The set of whole numbersThe set of natural numbers combined with zero {0, 1, 2, 3, 4, 5, …}., denoted W , is the set of natural numbers combined with zero. The set of integersThe set of positive and...