You can think of absolute value as a way to always make a number positive, no matter if it is positive or negative. The absolute value of a number is the distance from that number to zero, no matter which direction you are from zero.

Absolute Value

How to add decimal numbers? The sum of numbers is when you add them together, a way to find out how many things you have in total. Adding decimal numbers is just like adding whole numbers, but with a little extra attention to the decimal point.

Adding Decimals

Adding fractions is a way to find the total amount when you have two or more parts. To add fractions, you need to make sure that the denominators (bottom numbers) are the same. If they are not the same, you can find a common denominator by multiplying the numerators and denominators by the same number. Adding fractions is an important part of mathematics, and it is used in many different ways to find totals and solve problems

Adding Fractions

The sum of numbers is when you add them together, a way to find out how many things you have in total. To do the math, just write them down one after the other and add them up.

Adding Numbers

Addition is a way to find out the total when you combine two or more numbers. The symbol + is used to show addition. You can add as many numbers as you want, just keep adding one number to the next.

Basic Addition

Learn what algebraic fractions are and how to add, subtract, multiply, and divide them in simple math terms. Discover how to find a common denominator and simplify algebraic fractions.

Algebraic Fractions

Algebraic numbers are numbers that can be created using arithmetic operations like addition, subtraction, multiplication, and division, and using algebraic equations. These equations contain variables, which can be replaced by numbers to find the value of the algebraic number.

Algebraic Numbers

An algorithm in math is like a set of instructions or a recipe that you follow to complete a task or solve a problem. It is a step-by-step plan that helps you get from the beginning of a task to the end.

Algorithms

The average in math is a calculated central value of a set of numbers, like the middle number in a group. To calculate it add up all the numbers, then divide by the total amount of numbers.

Average

The perimeter of a circle is like walking around the edge of a cookie. You can measure the distance around the edge of a circle, which is called the perimeter. To calculate it you need the radius o the diameter and the number pi

Circle Perimeter

To classify functions, we look at how the output changes based on the input. Different ways to classify functions are: linear functions, quadratic functions, exponential functions and logarithmic functions.

How to Classify Functions, Types of Functions

A composite number is a number that can be divided by numbers other than 1 and itself. The numbers that can only be divided by 1 and themselves are called prime numbers.

Composite Numbers

Continuity is a mathematical concept that deals with how a function behaves as we get close to a certain point. There are two types of continuity: point-wise continuity and uniform continuity.

Continuity in Functions

To convert a decimal to a fraction, you need to find a fraction with the same value as the decimal. To convert a fraction to a decimal, you need to divide the numerator by the denominator.

Convert Decimals to Fractions and Vice Versa

To convert a fraction to a repeating decimal in math, you can divide the numerator (the top number) by the denominator (the bottom number). You will end up with a repeating decimal, which represents a certain fraction.

Convert Fractions to Repeating Decimals

A repeating decimal is a decimal that has a pattern of digits that repeat forever. To convert a repeating decimal to a fraction, you can use a simple process. We use this in Math to represent a repeating decimal as a fraction.

Convert Repeating Decimals to Fractions

Curved lines are lines that bend or curve in different directions, rather than going straight. A smiley face with a curved smile, or a spiral staircase are examples of curved lines. They can be simple and smooth or complex and bumpy

Curved Lines

Decimal numbers are just like whole numbers, but with an added decimal point to show parts of a whole. You can perform the same operations as with whole numbers, such as addition, subtraction, multiplication, and division.

Decimal Operations

We use the number 10 for counting things. Imagine each finger represents one number, like 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. When we run out of fingers to represent a number, we add another set of 10 fingers and start counting all over again. This system of counting is called the decimal system.

Decimal System

A derivative is like finding out how fast something is changing. You can use derivatives to find out how fast a quantity is changing in math. In math, derivatives are used to study how quantities change over time, like finding the rate at which something is getting bigger, accelerating, growing, changing or speeding up or down.

Derivatives

The distributive property of multiplication is a way to simplify some calculations. It works like this: Instead of counting one by one, you just multiply the numbers. The distributive property of multiplication helps us simplify calculations by breaking down a big number into smaller parts and then multiplying each part by the same number

Distributive Property of Multiplication

Division is a way to find out how many times one number can fit into another number. Dividing decimal numbers is just like dividing whole numbers, but with a little extra attention to the decimal point.

Dividing Decimals

Dividing fractions is just like dividing any other numbers, but with a few special rules to remember. You are finding how many times one fraction will fit into the other, so the answer will often be a larger number or fraction than either of the original fractions.

Dividing Fractions

Division by 3 digits is a way to find how many times one number can be divided into another number. Imagine you have a big bag of candy and you want to share it equally among your friends. To do that, you need to find out how many candies each friend will get. This is like division by 3 digits!

Dividing Three Digit Numbers

Division by 2 digits is a way to find how many times one number can be divided into another number. Think of it as sharing things equally! In math, division is a way to find out how many times one number can be divided into another number. When you divide a big number by a small number, you can find out how many smaller numbers fit into the big number

Dividing Two Digit Numbers

Divisibility means when a number can be divided by another number without leaving any extra pieces or a remainder. We use divisibility rules to quickly figure out if a number is divisible by another number.

Divisibility Rules

Division is a way to find out how many times one number can fit into another number. So, when you divide one number by another number, you are finding out how many times the second number fits into the first number. The symbol ÷ is used to show division.

Basic Division

The number e and logarithms are mathematical concepts that are used to describe relationships between numbers. The number e is a special mathematical constant that is approximately equal to 2.71828. A logarithm is a way of expressing how many times you need to multiply a certain number (called the base) to get another number.

e - Euler's Number

Learn about equality in math and how it represents balance. Discover how the equal sign (=) is used to show that two things have the same value, and how this concept is important in problem-solving.

Equality

Equations show if two things are equal. Identities are a special kind of equation that are always equal, no matter what numbers we use.

Equation vs Identity, What's the Difference?

Equations show that two things are equal, used in math and science to solve problems and find missing information. They help us understand relationships and make predictions.

Equations

When you round a number, there is always a small difference, or error, between the rounded number and the actual number. Error estimating is a way to find out how much the rounded or approximate number is different from the actual number.

Error Estimation, Approximation, and Rounding

When you round a number, there is always a small difference, or error, between the rounded number and the actual number. Error estimating is a way to find out how much the rounded number is different from the actual number.

Error Estimation, Rounding

Powers, also called exponents, are a way to show how many times a number is being multiplied by itself. Powers in math are a shorthand way of writing multiplication. Powers are an important part of mathematics and are used in many real-world situations.

Exponents, Powers

A factor is a number that can be multiplied by another number to get a third number. A multiple is a number that can be created by multiplying another number by a whole number. Factors are the numbers that a number can be divided by, and multiples are the numbers that can be created by multiplying another number.

Factors and Multiples

Fractions are like a special kind of division, where you are dividing a whole into parts. When you work with fractions, you can perform operations like addition, subtraction, multiplication, and division.

Fraction Operations

A fraction is a way to show part of a whole. A fraction can help you show how much of a pizza each person gets. So, a fraction is a way to show a part of a whole, and it can be written as a ratio of two numbers. Fractions are useful for dividing and comparing amounts, and they are a key part of mathematics.

Fractions

A function is like a machine that takes in a number (or an "input"), does something to it, and gives you another number (or an "output"). A function is a mathematical concept that maps a set of inputs, called the domain, to a set of outputs, called the range. It defines a unique output for each input in the domain. The relationship between the inputs and outputs is often described using an equation or a set of rules. In mathematical notation, a function is typically denoted by f(x), where x is an input and f(x) is the corresponding output. Functions can be used to model real-world situations and can help to simplify complex problems.

Functions

Greater than and less than are symbols that help us compare numbers and understand which one is bigger or smaller. You can use it to tell which number is greater or smaller, and whether one number is bigger or smaller than the other.

Greater Than, Less Than

Learn what the greatest common factor (GCF), or greatest common divisor, is in math. Discover how to find the GCF and its uses in simplifying fractions.

Greatest Common Factor (GCF)

Higher index roots, also called higher order roots, nth roots or radicals, are like square roots, but instead of finding a number that can be multiplied by itself to get the original number, we find a number that can be multiplied by itself a certain number of times to get the original number.

Higher Order Roots - Radicals, Nth Roots

Learn about math identities and how they are always true, no matter what values we use for the variables. Discover how they simplify problems and make calculations easier, and how they are important in problem-solving.

Identity

An integral is like finding out the total amount of something. You can use integrals to find out the total amount of a quantity in math. In mathematics, integrals are used to find the total amount of a quantity that changes over time. They can help us understand things like flow, areas under a curve, find out the total amount of a quantity and make predictions about what will happen in the future

Integrals

Learn what primitive or irreducible polynomials are in simple math terms. Discover why they are important in number theory, algebra, and computer science, and how they cannot be factored into smaller prime polynomials with integer coefficients.

Irreducible Polynomials

Learn what the least common multiple (LCM) is and how to find it in simple math terms. Discover how the LCM is used in adding or subtracting fractions with different denominators.

Least Common Multiple (LCM)

Length, height, and width help you understand the size and shape of an object, and its dimensions in space. They are useful in maths, physics and geometry to figure out how much space, volume or area it will take up to fit it into.

Length, Width, Height

In algebra, letters are used to represent unknown numbers, and numbers are used to represent known values. The letters and numbers are used together to create equations that describe relationships between the unknown and known values.

Letters and Numbers Together, Algebra

In geometry, a line is an imaginary object that goes on forever in both directions. It has no endpoints. An interval is a set of numbers that includes all the numbers between two given numbers. Intervals are often used to describe the possible values of a quantity or a variable.

Lines, Intervals and Rays

In geometry, a line is an imaginary object that goes on forever in both directions. It has no endpoints. A line segment is a part of a line that has two endpoints. A ray is a part of a line that starts from one point and goes on forever in one direction.

Lines, Line Segments, and Rays

A logarithm is a way of expressing how many times you need to multiply a certain number (called the base) to get another number. Logarithms in math help us find out how many times we need to multiply a certain number to get another number.

Logarithms

A matrix is like a bunch of numbers arranged in rows and columns. In math, you can arrange the blocks in a grid, with rows and columns, to make a matrix. By using matrices, you can easily organize and store information and use it to solve problems and answer questions in mathematics and calculus.

Matrices

Measurement of height is the way we find out how tall something is. Measuring height is an important part of our everyday life. For example, we need to know the height of a person to make sure they fit into a ride at an amusement park, or we need to know the height of a building to make sure it meets safety regulations.

Measuring Height

Measuring time is a way to keep track of how much time has passed from the start of an event to the end. To measure time, we need to be able to tell time on a clock, start a stopwatch or set a timer, and read the time that has passed when the event is over. Knowing how to measure time is important. We need to keep track of time to make sure we arrive at appointments on time, or to know how much time we have left for an activity.

Measuring Time

Monomials are mathematical expressions that have only one term. They can be numbers, variables, or combinations of numbers and variables raised to a power. To perform operations with monomials, we can use basic math operations like addition, subtraction, multiplication, and division.

Monomial Operations

A monomial is a mathematical expression that has only one term. It can be a number, a variable, or a combination of a number and a variable raised to a power. For example, 5, x, and x^2 are all monomials.

Monomials

Multiplication is a way to find out how many things there are when you have the same number of things repeated a certain number of times. The symbol x is used to show multiplication. You can multiply as many numbers as you want, just keep multiplying one number by the next.

Basic Multiplication

Multiplying decimals is just like multiplying whole numbers, but with an extra step at the end: You can do it like this: 1) Line up the decimal points. 2) Multiply the numbers. 3) Put the decimal point in the answer. If you have a total of two decimal places, we put the decimal point in the answer directly over two spaces from the right.

Multiplying Decimals

Multiplying fractions is just like multiplying any other numbers, but with a few special rules to remember. You are finding the product of the parts, so the answer will often be a smaller fraction than either of the original fractions.

Multiplying Fractions

Multiplication is a way of finding the total amount when you have a certain number of items that are the same. Multiplication in Math is a way of making it easier to find the total amount when you have a lot of things that are the same.

Multiplying Numbers

A logarithm is a way of expressing how many times you need to multiply a certain number (called the base) to get another number. A natural logarithm is a logarithm with base e, where e is a special number, Eulers number in mathematics that is approximately equal to 2.71828.

Natural Logarithms

A normal distribution is a type of pattern that we often see in data and information. Imagine that you have a bag with a large number of marbles. A normal distribution can be used to describe many different kinds of data, such as heights, weights, IQ scores, and many others. Understanding normal distributions is important in many fields, including science, medicine, and statistics. It can help us make predictions and make sense of data that we collect.

Normal Distribution

A notable product, also known as equalities or notable identities, is a special kind of answer that you get when you multiply two or more numbers together. There are some products that are so famous or well-known that mathematicians have given them special names.

Notable Products, Equalities, Notable Identities

Number e and Logarithms

Number operations are: Addition is when you put two or more numbers together. Subtraction is when you take away one number from another. Multiplication is when you repeat a number a certain amount of times. Division is when you split a number into equal parts.

Number Operations

Pi (π) is a special number that is used to find the circumference (perimeter) of a circle in math. Pi is a very important number in mathematics and is used in many different ways to find measurements for circles and other shapes.

Number Pi - π

A radical expression is an expression that contains a square root symbol (√). The number or expression inside the square root symbol is called the radicand. You can add, subtract, multiply or divide radical expressions in math.

Operations on Radical Expressions

Math operations are: Addition is when you put two or more numbers together. Subtraction is when you take away one number from another. Multiplication is when you repeat a number a certain amount of times. Division is when you split a number into equal parts.

Basic Operations

Decimal sorting is a way of arranging numbers in order from smallest to largest or largest to smallest. To sort decimal numbers from smallest to largest, you would start with the first two numbers and compare them.

Ordering Decimals

Fraction sorting is a way of arranging fractions in order from smallest to largest or largest to smallest. It is important to pay attention to the numerator and denominator of each fraction when sorting fractions.

Ordering Fractions

Number sorting is when we arrange numbers in a specific order, either from smallest to largest or largest to smallest. We use number sorting to help us understand and compare numbers, and to solve problems.

Ordering Numbers

A percentage is a way to show a number as a part of 100. Imagine you have 100 pieces of candy, and you want to divide it among your friends. To figure out how many pieces of candy each friend gets, you can use percentages. Percentages are used in many different ways, like to show discounts, to calculate grades in school, or to compare the size of different things. They are a useful way to describe and compare parts of a whole.

Percentages

The perimeter of a rectangle is the total distance around the outside of the rectangle. Calculating the perimeter of a rectangle is an important part of mathematics, and it is used in many different ways to measure and solve problems.

Perimeter of Rectangle

The perimeter is the total distance around the outside of a shape. Think of it like wrapping a ribbon around a present, the length of the ribbon is the perimeter of the present. Calculating the perimeter of a shape is an important part of mathematics, and it is used in many different ways to measure and solve problems.

Perimeter

Discover polynomial factorization in simple math terms. Learn how to simplify expressions and solve equations using methods like common factor and quadratic formula.

Polynomial Factorization

Polynomials are mathematical expressions that have two or more terms. To perform operations with polynomials, we use the same basic math operations as with monomials, such as addition, subtraction, multiplication, and division.

Polynomial Operations

Learn what polynomial roots are and how to find them using factoring in simple math terms. Discover how roots are used in solving equations and graphing polynomials.

Polynomial Roots

A polynomial is a mathematical expression that has two or more terms. It can be made up of numbers, variables, and operations like addition, subtraction, multiplication, and division. The terms can also contain exponents, like x^2, which means x raised to the power of 2.

Polynomials

Positive numbers are greater than zero and are often used to describe quantities that are in the opposite direction of negative numbers. Negative numbers are less than zero and are often used to describe quantities that are in the opposite direction of positive numbers.

Positive and Negative Numbers

Powers are a way of showing how many times a number is being multiplied by itself. Here are some important rules for working with powers: multiplying, dividing, power of a power, power of 0, power of 1

Power Operations

Powers and Roots are mathematical operations that can be combined with other operations like addition, subtraction, multiplication, and division. Learn how to raise a power to a root, or combine roots and powers in math

Powers and Roots - Operations

Prime numbers are special numbers that can only be divided evenly by 1 and themselves. Composite numbers are numbers that can be divided evenly by other numbers besides 1 and themselves.

Prime and Composite Numbers

A prime number is a special type of number that can only be divided evenly by 1 and itself. For example, the number 7 is a prime number because the only numbers it can be divided evenly by are 1 and 7. A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. For example, 2, 3, 5, 7, 11 are prime numbers.

Prime Numbers

There are some special rules that make multiplication easier to use, which are: commutative, associative, distributive, identity, and zero properties. If we multiply one number by another, we can do this in any order and still get the same answer. The order of the factors does not alter the product in math.

Properties of Multiplication

The Pythagorean theorem is a mathematical formula that helps us find the length of the sides of a right triangle. A right triangle is a special type of triangle that has one angle that measures exactly 90 degrees. The Pythagorean theorem is a very useful and important tool in mathematics, and it has many applications in real-life situations, such as building and construction, navigation, and more.

Pythagorean Theorem

Learn what radical expressions are and how to simplify them using the square root symbol in simple math terms. Discover how they are used in geometry and trigonometry for calculations of lengths and areas.

Radical Expressions

A repeating decimal is a type of decimal number that has a pattern of digits that repeats over and over again. Repeating decimals in math are a way to represent numbers, especially when the pattern of digits is easy to see and understand. They can be easily converted into fractions.

Repeating Decimal

A right triangle is a special type of triangle that has one angle that measures exactly 90 degrees. This angle is called the right angle. For example, imagine a ladder that is leaning against a wall. The ladder is a right triangle, with the wall as one leg, the floor as another leg, and the ladder as the hypotenuse.

Right Triangle

Root operations are mathematical operations that involve finding the root of a number. We have talked about square roots and higher index roots, which are two common types of root operations.

Root Operations

Roots and radical exponents are related concepts in mathematics. A root is a symbol that represents finding a number that, when multiplied by itself a certain number of times, gives the original number. Radical exponents are a way of writing roots using exponents.

Roots as Radical Exponents

Rounding means making a number simpler by "rounding" it to the nearest whole number or to a specific place value. Approximations are used when you want to estimate a number that is close to the actual answer, but not exact.

Rounding and Approximations

Scientific notation is a way to write very large or very small numbers in a simpler and more compact form. Scientific notation is used in many different fields, including physics, chemistry, and biology, to help simplify and communicate complex numbers.

Scientific Notation

The square root of a number is the number that, when multiplied by itself, gives the original number. There are always two answers to some square root problems, the number and its negative, since negative times negative returns a positive number.

Square Roots

Subtracting numbers means finding out how much less one number is than another number. Subtracting decimal numbers is just like subtracting whole numbers, but with a little extra attention to the decimal point.

Subtracting Decimals

Subtracting fractions is a way to find the difference between two amounts. To subtract fractions, you need to make sure that the denominators (bottom numbers) are the same. If they are not the same, you can find a common denominator by multiplying the numerators and denominators by the same number. Subtracting fractions is an important part of mathematics, and it is used in many different ways to find differences and solve problems.

Subtracting Fractions

Subtracting numbers means finding out how much less one number is than another number. So, subtraction helps you find out the difference between two numbers, just like finding out how many pieces of candy you have left after eating some.

Subtracting Numbers

Subtraction is a way to find out how much more one number is than another number. The symbol - is used to show subtraction. You can subtract as many numbers as you want, just keep subtracting one number from the next.

Basic Subtraction

Synthetic division, also known as Ruffinis rule, is a shortcut method for dividing a polynomial (a mathematical expression with two or more terms) by a binomial (a mathematical expression with two terms). It is called "synthetic" because it is a quick way to do division without actually writing out the long division problem.

Synthetic Division

A transformation in mathematics refers to a process or rule that takes an input and maps it to an output, changing its position, size, or shape. Transformations can be thought of as operations performed on geometric objects such as points, lines, and shapes, to produce a new image or figure.

Transformations in Functions

A rectangle and a triangle are both types of shapes. A rectangle is a flat shape that has four straight sides and four right angles (corners that are exactly 90 degrees). The opposite sides of a rectangle are always equal in length.

Triangles, Rectangles

Triangles are shapes that have three sides and three angles. There are different types of triangles, each with their own unique properties: Equilateral, Isosceles, Scalene, Right triangle, Acute and Obtuse triangle. Each type of triangle has its own unique properties in math and geometry and can be used in different ways in mathematics.

All Posts

Absolute Value

Adding Decimals

Adding Fractions

Adding Numbers

Basic Addition