Algebra Tutorials!
Saturday 15th of June
Calculations with Negative Numbers
Solving Linear Equations
Systems of Linear Equations
Solving Linear Equations Graphically
Algebra Expressions
Evaluating Expressions and Solving Equations
Fraction rules
Factoring Quadratic Trinomials
Multiplying and Dividing Fractions
Dividing Decimals by Whole Numbers
Adding and Subtracting Radicals
Subtracting Fractions
Factoring Polynomials by Grouping
Slopes of Perpendicular Lines
Linear Equations
Roots - Radicals 1
Graph of a Line
Sum of the Roots of a Quadratic
Writing Linear Equations Using Slope and Point
Factoring Trinomials with Leading Coefficient 1
Writing Linear Equations Using Slope and Point
Simplifying Expressions with Negative Exponents
Solving Equations 3
Solving Quadratic Equations
Parent and Family Graphs
Collecting Like Terms
nth Roots
Power of a Quotient Property of Exponents
Adding and Subtracting Fractions
Solving Linear Systems of Equations by Elimination
The Quadratic Formula
Fractions and Mixed Numbers
Solving Rational Equations
Multiplying Special Binomials
Rounding Numbers
Factoring by Grouping
Polar Form of a Complex Number
Solving Quadratic Equations
Simplifying Complex Fractions
Common Logs
Operations on Signed Numbers
Multiplying Fractions in General
Dividing Polynomials
Higher Degrees and Variable Exponents
Solving Quadratic Inequalities with a Sign Graph
Writing a Rational Expression in Lowest Terms
Solving Quadratic Inequalities with a Sign Graph
Solving Linear Equations
The Square of a Binomial
Properties of Negative Exponents
Inverse Functions
Rotating an Ellipse
Multiplying Numbers
Linear Equations
Solving Equations with One Log Term
Combining Operations
The Ellipse
Straight Lines
Graphing Inequalities in Two Variables
Solving Trigonometric Equations
Adding and Subtracting Fractions
Simple Trinomials as Products of Binomials
Ratios and Proportions
Solving Equations
Multiplying and Dividing Fractions 2
Rational Numbers
Difference of Two Squares
Factoring Polynomials by Grouping
Solving Equations That Contain Rational Expressions
Solving Quadratic Equations
Dividing and Subtracting Rational Expressions
Square Roots and Real Numbers
Order of Operations
Solving Nonlinear Equations by Substitution
The Distance and Midpoint Formulas
Linear Equations
Graphing Using x- and y- Intercepts
Properties of Exponents
Solving Quadratic Equations
Solving One-Step Equations Using Algebra
Relatively Prime Numbers
Solving a Quadratic Inequality with Two Solutions
Operations on Radicals
Factoring a Difference of Two Squares
Straight Lines
Solving Quadratic Equations by Factoring
Graphing Logarithmic Functions
Simplifying Expressions Involving Variables
Adding Integers
Factoring Completely General Quadratic Trinomials
Using Patterns to Multiply Two Binomials
Adding and Subtracting Rational Expressions With Unlike Denominators
Rational Exponents
Horizontal and Vertical Lines
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A decimal is a number that can be written as a fraction whose denominator is 1, 10, 100, 1000, and so on. For example: Decimal Notation = Fraction Notation

In a whole number, the decimal point is located to the right of the digit in the ones place. For example: (252 = 252 .). The place value of a digit is determined by where it is in relation to the decimal point. The digits to the left of the decimal point are whole numbers; they have place values of 1, 10, 100, 1000, 10,000 and so on. The digits to the right of the decimal point are fractional parts; they have place values of and so on. Note: each place is as large as the place to its immediate left.

In the place value chart, the numbers to the left of the decimal point end in ‘s’ and represent the whole number part of the decimal while the numbers to the right of the decimal point end in ‘ths’ and represent the fractional part of the decimal.

To write the word name for a Decimal: If there is no number other than ‘0’ to the left of the decimal point, omit steps one and two.

  1. Write the name for the whole number to the left of the decimal point.
  2. Write the word ‘and’ for the decimal point.
  3. Write the name for the number to the right of the decimal point as if it were a whole number. Then write the name for the place value of the last digit on the right.

Example: 253.5674 is two hundred fifty-three and five thousand six hundred seventy-four ten- thousandths.

To add or subtract decimals, line up all the decimal points in a vertical column.

Example 1. add: 10.5 + 3 +.072 + 195.0035

Example 2. Subtract: 123.7450 – 2.00034

To multiply two decimals:

  1. Multiply the two numbers as if they were whole numbers.
  2. Locate the decimal point by counting the number of decimal places (to the right of the decimal point) in both numbers. The total of these two counts is the number of decimal places the product must have.
  3. If necessary, add zeros to the left of the numeral so that there are enough decimal places.


1. 2.7 x 4 = 10.8 Notice that there is ‘1’ decimal place in the product.

2. 3.456 x .5 = 1.7280 In this product, there are ‘4’ decimal places. 1.7280 can also be written as 1.728.

3. .45 x .12 Notice that 45 x 12 = 540, but there should be 4 decimal places in the product. Therefore, add a zero to the left of the ‘5’.

.45 x .12 = .0540 = .054

To divide two decimal numbers:

  1. If the divisor is not a whole number, move both decimal points to the right the same number of decimal places until the divisor is a whole number.
  2. Place the decimal point in the quotient above the decimal place in the dividend.
  3. Divide as if both numbers were whole numbers.
  4. If the numbers do not divide evenly, round off to the given place value.


Multiplication and Division by powers of Ten: A power of ten is a number that can be written as a product of tens; 10, 100, 1000, 10000…..are powers of ten. In exponential form, these are A power of ten can be recognized by looking for the number ten written with an exponent or a single ‘1’ followed by zeros.

To multiply a number by a power of ten, move the decimal point to the right. To divide a number by a power of ten, move the decimal point to the left. The number of places to move is shown by the number of zeros in the power of ten. If the exponent of ten is negative, move the decimal point to the left as in division.


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