Curated Video
Solve Systems Algebraically
You will solve for the point of intersection of two linear equation problems with two variables.
Why U
Pre-Algebra 20 - Converting Repeating Decimal Numbers to Fractions
Decimal numbers with an infinitely repeating sequence of digits after the decimal point can be converted into fractions. This chapter explains why.
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Pre-Algebra 09 - Division and Prime Numbers
The building blocks of all natural numbers are the prime numbers. The early Greeks invented the system still used today for separating natural numbers into prime and composite numbers.
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Pre-Algebra 03 - Decimal, Binary, Octal & Hexadecimal
Our modern decimal number system is base-10. Other number systems used in fields like computer engineering are base-2 (binary), base-8 (octal) and base-16 (hexadecimal).
Why U
Pre-Algebra 04 - Whole Numbers, Integers, and the Number Line
Number systems evolved from the natural "counting" numbers, to whole numbers (with the addition of zero), to integers (with the addition of negative numbers), and beyond. These number systems are easily understood using the number line.
Why U
Pre-Algebra 13 - Reciprocals and Division With Fractions
When working with fractions, division can be converted to multiplication by the divisor's reciprocal. This chapter explains why.
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Pre-Algebra 17 - Improper Fractions and Mixed Numbers
Sometimes arithmetic operations result in fractions greater than one, called "improper" fractions. An improper fraction can be converted into a "mixed number" composed of an integer plus a "proper" fraction.
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Pre-Algebra 18 - Converting Fractions to Decimal Numbers
Any fraction can be converted into an equivalent decimal number with a sequence of digits after the decimal point, which either repeats or terminates. The reason can be understood by close examination of the number line.
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Pre-Algebra 22 - Exponents of One, Zero, and Negative
Integer exponents greater than one represent the number of copies of the base which are multiplied together. But what if the exponent is one, zero or negative? Using the rules of adding and subtracting exponents, we can see what the...
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Pre-Algebra 31 - Simplifying Radical Expressions
Radical expressions can often be simplified by moving factors which are perfect roots out from under the radical sign.
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Pre-Algebra 24 - Simplifying Multiplied Exponential Expressions
Exponential expressions with multiplied terms can be simplified using the rules for adding exponents.
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Pre-Algebra 30 - Rational Exponents
Exponents can not only be integers and unit fractions. An exponent can be any rational number expressed as the quotient of two integers.
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Pre-Algebra 33 - Real Numbers
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...
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Pre-Algebra 05 - Commutative & Associative Properties of addition
A look behind the fundamental properties of the most basic arithmetic operation, addition.
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Pre-Algebra 16 - Reducing Fractions
The process of reducing any fraction to its simplest possible form is easily visualized using the number line.
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Pre-Algebra 02 - Roman Numerals, Sign-Value vs Positional Notation
Roman numerals are an ancient base-10 natural number system. Understanding Roman numerals (a sign-value notation) can shed light on our modern number system which uses positional notation.
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Pre-Algebra 08 - Multiplying Negative Numbers
When number systems were expanded to include negative numbers, rules had to be formulated so that multiplication would be consistent regardless of the sign of the operands.
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Pre-Algebra 28 - Raising Products and Quotients to Powers
Any expression consisting of multiplied and divided terms can be enclosed in parentheses and raised to a power. This can then be simplified using the rules for multiplying exponents.
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Pre-Algebra 12 - Arithmetic Operations With Fractions
Arithmetic operations with fractions can be visualized using the number line. This chapter starts by adding fractions with the same denominators and explains the logic behind multiplication of fractions.
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Pre-Algebra 27 - Raising Exponential Expressions to Powers
If a term raised to a power is enclosed in parentheses and then raised to another power, this expression can be simplified using the rules of multiplying exponents.
Why U
Pre-Algebra 21 - Exponentiation
Exponentiation is shorthand for repeated multiplication, just like multiplication is shorthand for repeated addition. Multiplied or divided exponential terms with like bases can be combined by adding or subtracting their exponents.
Curated Video
Finding Missing Angle Measures Using Simple Equations and the Triangle Sum Theorem
In this video tutorial, students are guided through the process of finding missing angle measures in triangles using simple equations and the triangle sum theorem. The teacher demonstrates step-by-step how to solve for the unknown angles...
Curated Video
How to Solve an Absolute Value Equation
In this video transcript, the process of solving an absolute value equation is explained step by step. Both solutions are then verified by substituting them back into the original equation.
Brian McLogan
Master Writing the equation of a line parallel to another equation through a given point
Master Writing the equation of a line parallel to another equation through a given point
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