# Author: Evan Rachel

What is a Bar Graph? A bar graph, also known as a bar chart, is a graphical representation of data that uses rectangular bars or columns to show the values of different categories. In a bar graph, the length or height of each bar corresponds to the quantity or frequency it represents. Bar graphs are commonly used to display and compare the values of discrete categories or groups. For example, Suppose you conducted a survey to find out people’s favorite fruits, and you collected the following data: Apples: 30 Bananas: 45 Oranges: 25 Grapes: 40 Strawberries: 35 Now, let’s create…

What Are Adjacent Angles? Adjacent angles are two angles that share a common arm (side) and a common vertex, yet do not overlap. In other words, they are side by side and share a common side while having different rays extending from that side. The sum of adjacent angles is always equal to the total measure of the angle formed by extending the common side. In a diagram, if you have a pair of adjacent angles, you can think of them as two angles that are next to each other and share a side. The common side is the one…

Geometry, the art of shapes and spaces, unveils the wonders of trapeziums, a four-sided figure with two parallel sides and two non-parallel sides. One of the fundamental aspects of exploring trapeziums lies in understanding their area—a measure that encapsulates the space they occupy on the geometric canvas. What Is the Area of Trapezium? The area of a trapezium represents the space enclosed within its four sides. It is the magnitude of the region covered, providing a quantitative measure of the geometric entity. Calculating the area of a trapezium involves a formula that considers the lengths of its bases and the…

What is Absolute Value? The absolute value of a complex number $$a + bi$$ is the distance of the number from the origin (0,0) in the complex plane and is denoted by $$|a + bi|$$. The formula for the absolute value of a complex number is given by: $$|a + bi|$$ = $$\sqrt{a^2 + b^2}$$ Here, a is the real part, b is the imaginary part, and $$\sqrt{ }$$ denotes the square root. Absolute Value Definition The absolute value of a number is a mathematical concept that represents the distance of that number from zero on the number line, regardless…

Lymph, a colorless fluid that circulates throughout the human body, plays a crucial role in maintaining the delicate balance of our internal environment. Comprising a complex mixture of cells, proteins, and other essential components, lymph serves as a vital component of the immune and circulatory systems. In this detailed article, we will explore the composition and multifaceted functions of lymph, shedding light on its significance in preserving human health. Composition of Lymph Lymph is derived from interstitial fluid that bathes the cells and tissues. As this fluid enters the lymphatic vessels, it transforms into lymph, acquiring various components along the…

Perfect numbers, a captivating concept deeply rooted in the realm of number theory, have intrigued mathematicians for centuries. In this exploration, we delve into the definition, showcase examples, and unravel fascinating facts about these elusive numerical wonders. What are Perfect Numbers? A perfect number is a positive integer that is equal to the sum of its proper divisors, excluding itself. Proper divisors are the positive divisors of a number other than the number itself. For example, let’s take the perfect number 28: The divisors of 28 are 1, 2, 4, 7, 14, and 28. If we exclude 28 and sum…

PEMDAS, an acronym denoting the order of operations in mathematical expressions, guides the sequential execution of calculations. It stands for P – Parentheses, E – Exponents, M – Multiplication, D – Division, A – Addition, and S – Subtraction. Different countries use alternative acronyms, such as BEDMAS in Canada (Brackets, Exponents, Division, Multiplication, Addition, Subtraction), BODMAS (Brackets, Order or Off), or GEMDAS (Grouping). In this lesson, we will delve into the PEMDAS rule for solving arithmetic expressions, accompanied by illustrated examples and practice questions. Introduction to PEMDAS PEMDAS, or the order of operations, constitutes a set of guidelines for executing…

In the realm of mathematics, understanding the concept of place value is akin to unlocking the secret code of numbers. This fundamental concept forms the bedrock of numerical representation, offering a structured way to assign value to each digit based on its position within a number. place value is about the hierarchical structure of numbers. In the base-10 system, each digit’s place is a power of 10, defining its role and contribution to the overall value of the number. The hierarchy begins with the units place, followed by tens, hundreds, thousands, and so forth. What is Place Value? Place value…

Rational numbers take the form $$\frac{p}{q}$$, where both ‘p’ and ‘q’ can represent any integer, with the condition that $$q \neq 0$$. This definition encompasses a broad spectrum of numerical entities, ranging from natural numbers and whole numbers to integers, fractions of integers, and various forms of decimals, including both terminating and recurring decimals. In this lesson, we will delve deeper into the concept of rational numbers, exploring how to identify them and providing examples that illustrate their diverse nature. What are Rational Numbers? The term “rational” is derived from “ratio,” emphasizing the fundamental characteristic of…

Introduction to Whole Numbers: Whole numbers are a fundamental concept in mathematics, encompassing a set of numbers that includes zero and all positive integers. Unlike natural numbers, which start from 1, whole numbers extend from 0 indefinitely. The whole number system serves as the foundation for various mathematical operations and is essential in everyday life. As we embark on this exploration, we delve into the Definition of whole numbers, their properties, operations, and examples Whole Number Definition Whole numbers, a subset of the integers, are the set of non-negative integers that include zero and extend indefinitely. The sequence begins with…