Presentation on Types of Numbers PDF
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Uploaded by FlatteringMercury
Nickolar Gordon
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Summary
This presentation explores various types of numbers, including natural/counting numbers, whole numbers, integers, rational numbers, and irrational numbers in mathematics. It also covers classifying numbers as odd, even, prime, and composite. Lastly, the presentation highlights basic arithmetic operations such as addition, subtraction, multiplication, and division, and introduces the concept of place values for numbers.
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Exploring the Realm of Numbers Numbers are the building blocks of mathematics. They are used to quantify, measure, and represent quantities. From the simplest counting to complex calculations, numbers play a crucial role in our everyday lives. NG by Nickolar Gordon Types of Numbers: A Comprehens...
Exploring the Realm of Numbers Numbers are the building blocks of mathematics. They are used to quantify, measure, and represent quantities. From the simplest counting to complex calculations, numbers play a crucial role in our everyday lives. NG by Nickolar Gordon Types of Numbers: A Comprehensive View 1 Natural/Counting Numbers 2 Whole Numbers These are the numbers we use for counting: 1, 2, 3, and so on. Whole numbers include natural numbers and zero: 0, 1, 2, 3, and so on. 3 Integers 4 Rational Numbers Integers include positive whole numbers, negative whole Rational numbers can be expressed as a fraction, where the numbers, and zero: …, -3, -2, -1, 0, 1, 2, 3, … numerator and denominator are integers. They can be positive, negative, or zero. Rational and Irrational Numbers Rational Numbers Irrational Numbers Examples: 1/2, 3/4, 0.5, -2/3 Examples: pi (π), square root of 2 (√2) 1. Decimal representation terminates or repeats. 1. Decimal representation is non-terminating and 2. Can be written as a fraction of two integers. non-repeating. 2. Cannot be written as a fraction of two integers. Other Number Classifications Odd Not divisible by 2 1, 3, 5, 7, 9,... Even Divisible by 2 2, 4, 6, 8, 10,... Prime Greater than 1, 2, 3, 5, 7, 11, 13,... divisible only by 1 and itself Composite Greater than 1, 4, 6, 8, 9, 10, 12,... divisible by at least one other number besides 1 and itself Operations with Real Numbers Addition (+) Combining numbers to find their sum. Subtraction (-) Finding the difference between two numbers. Multiplication (×) Repeated addition of a number by itself. Division (÷) Splitting a number into equal parts. Understanding Place Value Units The rightmost digit represents the number of ones. Tens The digit to the left of the units place represents the number of tens. Hundreds The digit to the left of the tens place represents the number of hundreds. Thousands The digit to the left of the hundreds place represents the number of thousands. Comparing and Ordering Numbers Number Line 1 Visual representation for comparing numbers. Greater Than (>) & Less Than (
