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 Decimal Word Problems Lesson

Example 1: If 58 out of 100 students in a school are boys, then write a decimal for the part of the school that consists of boys. Analysis: We can write a fraction and a decimal for the part of the school that consists of boys. fraction decimal 0.58 Answer: 0.58 Example 2: A computer processes information in nanoseconds. […]

Subtracting Decimals Lesson

Example 1: A customer buys $6.33 of food in a store. If he pays with a $10 bill, then how much change should the cashier give him? Analysis: The cashier needs to subtract the two decimals in order to make change for the customer. Step 1: You must first line up the decimal points in […]

Estimating Decimal Differences Lesson

Example 1: A customer wants to buy $6.33 of food in a store. About how much change will he receive from a $10 bill if the cashier has no pennies and no nickels? Analysis: Estimate the difference between $10.00 and $6.33 by rounding to the nearest tenth (dime). – $10.00– $10.00 – $ 6.33– $ 6.30 – $ 6.33$ 3.70 […]

Adding Decimals Lesson

Example 1: Add: 52.3 + 973.41 Analysis: Let’s use our knowledge of mixed numbers to help us analyze this problem. 52.3 = and 973.41= Recall that a decimal number can have a whole-number part and a fractional part. When adding decimals, you must first line up all the decimal points in a column. Lining up the decimal points ensures that […]

Estimating Decimal Sums Lesson

Example 1: Charlene and Margi went to a nearby restaurant for a quick lunch. The waitress handed them the bill with the price of each lunch, but forgot to add up the total. Estimate the total bill if Charlene’s lunch was $3.75 and Margi’s lunch was $4.29. Analysis: Estimation is a good tool for making a rough […]

Ordering Decimals Lesson

Example 1: The Glosser Family drove to a gasoline station in their neighborhood. The station has three gas pumps, each marked in price per gallon. Which pump has the lowest price per gallon? Which pump has the highest price per gallon? $1.79, $1.96, $1.61 Analysis: We know that 1.79 < 1.96 and that 1.79 > 1.61. Writing […]

Comparing Decimals Lesson

Example 1: Polygon Pizza Place caters children’s parties with square-shaped pizza. Each pizza is exactly the same size and is divided into equal parts called slices. At Sam’s party, each child had 2 out of 10 slices from a single pizza. At Elena’s party, each child had 15 out of 100 slices from a single pizza. […]

Read and Write Decimals Lesson

In the last lesson, you were introduced to decimal numbers. Decimal places change by a factor of 10. For example, let’s look at the number ‘3247.8956’ below. 3 x 1000 thousands 2 x 100 hundreds 4 x 10 tens 7 x 1 ones 8 x 0.1 tenths 9 x 0.01 hundredths 5 x 0.001 thousandths […]

Introduction to Decimals Lesson

Learn About Decimals and Decimals Place Value With The Following Examples And Interactive Exercises Problem: Order these numbers from least to greatest: Analysis: We know that is a mixed number: it consists of a whole number and a fraction. Let’s use place value to help us compare these numbers 57= (5 x 10) + (7 x 1) = (5 x 10) + ( 7 […]

Challenge Exercises: Fractions

Click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR. Be sure to write each fraction or fractional part in lowest terms. To enter the fraction […]