Step by Step Math Lessons

Our math lessons are designed to make math meaningful to the student. They will guide learners through mathematical concepts, breaking down each step in a clear and understandable manner. They provide a structured approach to learning math, ensuring comprehensive understanding and proficiency. Each math lesson provides in-depth instruction ideal for learners of all ages and abilities. Choose a topic below to start your adventure.

Arithmetic Sequence Formula	Linear Equations
Associative Property	Logic
Circumference and Area of Circles	Mean Absolute Deviation
Commutative Property	Mean Median Mode
Consumer Math	Percentages
Data and Graphs	Perimeter and Area
Decimals – Add and Subtract	Perpendicular Lines
Decimals – Multiply and Divide	Place Values
Decimals – How to Multiply	Point Slope Form
Distributive Property	Pre-Algebra
Elementary Math	Probability
Exponents	Pythagorean Identities
Equations – Solving Single and Double Steps	Pythagorean Theorem
Fractions Introduction	Rate of Change
Fractions and Mixed Numbers – Add and Subtract	Rounding
Fractions and Mixed Numbers – Multiply and Divide	Sets and Set Theory
Fractions – Adding Unlike Denominators	Special Right Triangle
Fractions – Improper Fractions	Volume of a Triangular Pyramid
Integer Properties

Solving More Decimal Word Problems

Example 1: School lunches cost $14.50 per week. About how much would 15.5 weeks of lunches cost? Analysis: We need to estimate the product of $14.50 and 15.5. To do this, we will round one factor up and one factor down. Estimate: Answer: The cost of 15.5 weeks of school lunches would be about $200. Example 2: A […]

How To Divide Decimals Lesson

Problem 1: Do you see a pattern in each table below? Use mental arithmetic to find each quotient, then mouse over the red text. Table 1 Table 2 Table 3 Explanation: The patterns in the tables above were created by multiplying the divisor and the dividend by the same power of 10. In each pattern, the quotient remains the […]

Rounding Decimal Quotients

Example 1: Dana will pay for her new car in 48 monthly payments. If her car loan is for $24,561, then how much will Dana pay each month? Round your answer to nearest cent. Analysis: We need to divide $24,561 into 48 equal amounts. To solve this problem, we will divide $24,561 by 48, and […]

Dividing Decimals by Whole Numbers Lesson

Example 1: The Lachance family drove cross country on a 4,615.8 mile trip in 49 days. Find the average number of miles driven per day. Analysis: We need to divide 4,615.8 by 49 to solve this problem. Step 1: Estimate the quotient using compatible numbers. Step 2: Use long division to find the quotient. Decide where to place the […]

Estimating Decimal Quotients Lesson

Example 1: An electrician’s apprentice earns $7.58 per hour. If he earned $316.99 last week, then about how many hours did he work? Analysis: The phrase about how many indicates that we need to estimate. To solve this problem, we will estimate the quotient of these decimals. There are many strategies that we could use. We will use compatible numbers for this problem. […]

Multiplying Decimals Lesson

Problem: Two students multiplied 0.2 by 0.4. Student 1 found a product of 0.8 and Student 2 found a product of 0.08. Which student had the correct answer? Explain. Student 1 Student 2 Analysis: Let’s convert each decimal to a fraction to help us solve this problem. Factors Product Fractions: x = Decimals: 0.2 x […]

Multiplying Decimals and Whole Numbers Lesson

Problem 1: Do you see a pattern in each table below? (Mouse over the red text) Table 1 0.2658 x 1 = 0.2658 0.2658 x 10 = 2.658 0.2658 x 100 = 26.58 0.2658 x 1,000 = 265.8 0.2658 x 10,000 = 2,658. 0.2658 x 100,000 = 26,580. 0.2658 x 1,000,000 = 265,800. Table 2 265,800. […]

Estimating Decimal Products Lesson

Example 1: If gasoline costs $6.50 per gallon and your gas tank holds 15.5 gallons, then about how much will you pay to fill your tank? Analysis: The phrase about how much indicates that we need to estimate. To solve this problem, we will estimate the product of these decimal factors. There are many strategies that we could use. Let’s try the two […]

Challenge Exercises for Adding and Subtracting Decimals

Directions: Read each question below. You may use paper and pencil to help you find the answers. Click once in an ANSWER BOX and type in your answer; then click ENTER. Do not use commas in your answers, just digits. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether […]

Practice Exercises for Adding and Subtracting Decimals

Directions: Read each question below. Select your answer by clicking on its button. Feedback to your answer is provided in the RESULTS BOX. If you make a mistake, choose a different button. 1. 0.04239 0.4239 4.239 42.39 RESULTS BOX: 2. Which of the following decimals represents nine hundred sixty-four and fifty-one hundredths? 964.5 […]