Number System Basics

Number System

• Place value refers to the value of each digit in a number based on its position
• Understanding place value is essential to write and compare numbers

Ordering Numbers

• Ascending order: arranging numbers from smallest to largest
• Descending order: arranging numbers from largest to smallest
• Both orders are essential to compare and arrange numbers correctly

Forming Numbers

• Make the smallest digit number: finding the smallest possible number by using the smallest digit in each place value
• Make the greatest digit number: finding the largest possible number by using the largest digit in each place value
• Both concepts help in understanding number patterns

Number Patterns

• Consecutive numbers: numbers that follow each other in sequence, such as 1, 2, 3, ...
• Even numbers: whole numbers that are divisible by 2, such as 2, 4, 6, ...
• Odd numbers: whole numbers that are not divisible by 2, such as 1, 3, 5, ...
• Understanding these patterns is essential to recognize relationships between numbers

Rounding Numbers

• Rounding numbers: approximating a number to its nearest ten, hundred, or thousand
• Rounding numbers helps in estimating quantities and making calculations easier

Roman Numerals

• Roman numerals: a system of numbers using letters, such as I, V, X, L, C, D, M
• Understanding Roman numerals is essential to recognize and write numbers in a different format

Operations and Word Problems

• Addition: combining two or more numbers to get a total or a sum
• Subtraction: finding the difference between two or more numbers
• Profit and loss: understanding the concept of increase or decrease in value
• Word problems: applying mathematical operations to real-life situations involving addition and subtraction

Missing Numbers

• Finding the missing number: identifying a number that is missing in a sequence or a pattern

Multiplication and Division

• Multiplication: repeated addition of a number to itself
• Division: sharing a quantity into equal parts or groups
• Word problems: applying mathematical operations to real-life situations involving multiplication and division

Divisibility Rules

• Divisibility rule of HCF (Highest Common Factor): finding the largest number that divides two or more numbers without leaving a remainder
• Divisibility rule of LCF (Lowest Common Multiple): finding the smallest number that is a multiple of two or more numbers

Geometry

• Triangle: a polygon with three sides and three angles
• Classification of triangles: categorizing triangles based on their properties, such as equilateral, isosceles, and scalene