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How to Borrow When Subtracting

Sometimes, when you are subtracting large numbers, the top digit in a column is smaller than the bottom digit in that column. In that case, you need to borrow from the next column to the left. Borrowing [more…]

How to Do Inverse Operations

Each of the Big Four operations (addition, subtraction, multiplication, division) has an inverse — an operation that undoes it. Addition and subtraction are inverse operations because addition undoes subtraction [more…]

How to Do Commutative Operations

Addition and multiplication are both commutative operations. Commutative means that you can switch around the order of the numbers without changing the result. This property of addition and multiplication [more…]

How to Perform Associative Operations

Addition and multiplication are both associative operations, which means that you can group them differently without changing the result. This property of addition and multiplication is also called the [more…]

How to Use the Distributive Property of Multiplication

In math, distribution (also called the distributive property of multiplication over addition) allows you to split a large multiplication problem into two smaller ones and add the results to get the answer [more…]

How to Add, Subtract, Multiply, and Divide with Units

Anything that can be counted is a unit. Because you can count units, this means that you can apply the Big Four operations (addition, subtraction, multiplication, and division) to them. [more…]

How to Represent Inequalities in Equations

Sometimes, you want to talk about when two quantities are different. These statements are called inequalities. Four types of inequalities are (doesn’t equal), < [more…]

Find the Square Root of a Number

A square root is the most common root operation. A root is the inverse operation of an exponent (which means that it undoes an exponential operation), and so a [more…]

Evaluate Mathematical Expressions

The ideas of equality, expressions, and evaluation are vital concepts when working with equations.An equation is a mathematical statement that tells you that two things have the same value — in other words [more…]

How to Solve Equations with Parentheses

In math, parentheses — ( ) — are often used to group together parts of an expression. This helps you to find the order of precedence when you work with equations. When it comes to evaluating expressions [more…]

How to Plug in Numbers to Solve a Word Equation

When you write out a word equation, you have the facts you need in a form you can use to find the solution. You can often solve the problem by plugging numbers from one word equation into another. The [more…]

How to Solve Complex Word Problems

To solve complex word problems, you use the same skills as when you solve basic word problems, but the calculations become harder. For example, instead of a dress costing an amount such as [more…]

Find the Absolute Value of a Number

The absolute value of a number is the positive value of that number. It tells you how far away from 0 a number is on the number line. The symbol for absolute value is a set of vertical bars. [more…]

How to Find the Factors of a Number

The factors of a number are all those numbers that can divide evenly into the number with no remainder. The greatest factor of a number is the number itself, so you can always list all the factors of any [more…]

How to Increase the Terms of a Fraction

Even if fractions look different, they can actually represent the same amount; in other words, one of the fractions will have increased terms compared to the other. You may need to increase the terms of [more…]

How to Reduce a Fraction to Its Lowest Terms

Even if fractions look different, they can actually represent the same amount; in other words, one of the fractions will have reduced terms compared to the other. You may need to reduce the terms of fractions [more…]

How to Convert a Mixed Number to an Improper Fraction

Although mixed numbers are great for everyday use, it is often easier to work with improper fractions when you want to solve math problems. To convert a mixed number to an improper fraction, follow these [more…]

How to Cross-Multiply Two Fractions

Cross-multiplication is a handy math skill to know. You can use it for a few different purposes. For example, you can compare fractions and find out which is greater. [more…]

How to Divide Fractions by Finding the Reciprocal

Dividing fractions is just as easy as multiplying them. In fact, when you divide fractions, you really turn the problem into multiplication by using a reciprocal. [more…]

How to Find the Sum of Fractions with the Same Denominator

When you add two fractions that have the same denominator (bottom number), you simply add the numerators (top numbers) together and leave the denominator unchanged. [more…]

How to Add Fractions with Different Denominators

When the fractions that you want to add have different denominators, there are a few different ways you can do it. Here, you’ll learn the easy way, then a quick trick that works in a few special cases, [more…]

Use Rectangles to Identify Composite Numbers

Some numbers can be placed in rectangular patterns. Mathematicians probably should call numbers like these “rectangular numbers,” but instead they chose the term composite numbers. For example, 12 is a [more…]

How to Subtract Numbers

Subtraction is usually the second operation you discover, and it’s not much harder than addition. In fact, you can subtract larger numbers by stacking them in columns, similar to how you add large numbers [more…]

How to Multiply Numbers

To multiply numbers, you need to know how to work with the different times signs as well as parentheses. If you multiply large numbers, you also need to know how to stack them in columns, so that you can [more…]

How to Find the Least Common Multiple

The least common multiple (LCM) of a set of numbers is the lowest positive number that is a multiple of every number in that set. For example, the LCM of the numbers 2, 3, and 5 is 30 because [more…]

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