In this video, the teacher explains how to plot decimals on a number line. They demonstrate the process step by step, starting from identifying which two integers the decimal lies between. The teacher also shows how a more detailed...

Pi (π) is a fascinating number with many applications in mathematics, physics, and engineering. Its infinite decimal representation is a reminder of its fundamental nature in the universe. Mathematician Johann Lambert proved that pi is...

This video will explain and demonstrate how to simplify radical expressions.

"Dividing Rational Numbers” will review the rules and procedures for dividing rational numbers.

“Multiplying Rational Numbers” will review the rules and procedures for multiplying rational numbers.

In this video, the teacher explains how to perform operations with rational numbers, specifically multiplication and division. The video includes step-by-step instructions and rules for handling different signs and dividing by a...

In this video, the teacher discusses the concept of rational and irrational numbers by analyzing a specific number value and four statements about it. Through a clear and concise explanation of integers, whole numbers, and fractions,...

Add two rational numbers by using the number line

In this lesson, students will learn how to use a number line to show that opposite rational numbers combine to make zero. They will understand that rational numbers include integers and can be expressed as fractions. Through real-life...

In this video, the teacher explains how to solve linear equations that involve both fractions and decimals. They demonstrate the process of converting fractions and mixed numbers to decimals, and then show different methods for solving...

In this video, the teacher explains how to rewrite fractions as repeating decimals using long division. They address common misconceptions, such as assuming that a repeating decimal is not a rational number.

In this video, the teacher explains how to determine the number of rational x-intercepts in the graph of a quadratic function by examining the method used to factor the function. The video also clarifies the difference between rational...

This lesson covers the concept of rational numbers, terminating decimals, and common misunderstandings when dividing. The teacher demonstrates the conversion process with examples of 1/3 and 1/6, and also explains how to represent...

This video continues on from part 1 and covers pure math concepts such as abstract algebra, real analysis, and topology. Those classes have less obvious real world applications than those discussed in the previous...

Although the Greeks initially thought all numeric qualities could be represented by the ratio of two integers, i.e. rational numbers, we now know that not all numbers are rational. How do we know this?

This video clarifies that rational numbers include integers and demonstrates the rules for adding numbers with like signs and different signs. Through examples and visual representations on a number line, students learn how to determine...

👉 Learn how to classify numbers. We will classify numbers as real, imaginary, rational, and irrational.

👉 Learn how to classify numbers. We will classify numbers as real, imaginary, rational, and irrational.

👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...

In this video tutorial I show you how to divide complex numbers. Since complex numbers have an imaginary part which we cannot divide into other numbers we rewrite the expression by multiplying by i or the conjugate on the denominator or...

Pi is defined as the ratio of the circumference of a circle to its diameter. A frisbee is used to show the definition of pi. The units for pi, radians, are discussed. The conversion factor between revolutions, degrees, and radians is...

👉 Learn how to find all the zeros of a polynomial. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a polynomial are the values...

There are an infinite number of rational numbers, but there are infinitely more irrational numbers. Neither type of number can represent every type of numeric quantity. By combining the rational and irrational numbers into the real...

This video explains how to predict the result of adding and subtracting rational and irrational numbers by looking at general cases algebraically. It covers the definitions of rational and irrational numbers and emphasizes that adding...