If you’re studying algebra, you’ve likely come across the concept of the order of operations. This is a set of rules that tells you the order in which to perform mathematical operations within an equation. Without these rules, you could end up with different answers depending on the order you use, leading to confusion and errors. The order of operations is typically abbreviated as PEMDAS or BODMAS, which stands for: ...
If you’re learning algebra, you’ve probably heard the term “expression” before. But what exactly is an expression in algebra? Simply put, an expression is a combination of numbers, variables, and mathematical operations that can be simplified or evaluated. Expressions are used in algebra to represent real-world situations and solve problems. Expressions can take many forms, from simple equations like $5x + 2$ to more complex expressions like $\frac{3x + 2y}{x - y}$. ...
If you’re studying algebra, you’ve likely come across the term “term” before. In algebra, a term refers to a single number, variable, or a combination of numbers and variables that are separated by mathematical operators. Understanding what a term is and how to work with them is essential to solving algebraic equations and expressions. Terms are the building blocks of algebraic expressions, which are mathematical sentences that contain variables, numbers, and mathematical operators. A term can be a single number, variable, or a combination of both that are multiplied together. For example, in the expression $5x + 3y$, $5x$ and $3y$ are both terms. In this case, $5$ and $3$ are coefficients, which are numbers that are multiplied by the variables. ...
How do you convert a fraction like $1 \frac{2}{3}$ to an improper fraction? A mixed fraction is made up of a whole number and a fraction. To convert it into an improper fraction, follow this simple rule: Multiply the denominator by the whole number, then add the numerator. This sum becomes the new numerator. The denominator stays the same. Step-by-Step: Convert $1 \frac{2}{3}$ to an Improper Fraction Step 1: Identify the denominator The denominator is: $$ 3 $$ ...
How do you convert a fraction like $2 \frac{1}{3}$ to an improper fraction? A mixed fraction is made up of a whole number and a proper fraction. To convert it into an improper fraction, use this rule: Multiply the denominator by the whole number, then add the numerator. The result becomes the new numerator, and the denominator stays the same. Step-by-Step: Convert $2 \frac{1}{3}$ to an Improper Fraction Step 1: Identify the denominator The denominator of the fraction is: $$ 3 $$ ...
A prime number is a number that has exactly two factors: $1$ and itself. This article will show how to test whether $49$ is a prime number using a simple step-by-step method. What Is A Prime Number? A prime number has only two positive divisors: $$ \text{Factors of a prime number} = {1, \text{the number itself}} $$ If a number has more than two factors, then it is not prime. ...
A prime number is a number that has exactly two distinct positive factors: $1$ and itself. To determine if a number is prime, check whether any whole numbers other than $1$ and the number itself divide into it without leaving a remainder. In this guide, we’ll check if $37$ is prime using a fast step-by-step method. What Is A Prime Number? A prime number has only two factors: $$ \text{Factors of a prime number} = {1, \text{the number itself}} $$ ...
How Do You Divide 58 by 3? Let’s use the short division method to find: $$ \frac{58}{3} $$ Understand the Terms Dividend: 58 (the number being divided) Divisor: 3 (the number you are dividing by) Quotient: the whole number result Remainder: the part left over (if any) Step-by-Step Division of 58 ÷ 3 Step 1: Divide 3 into 5 $$ 5 \div 3 = 1 \text{ remainder } 2 $$ ...
Factors are numbers that divide evenly into another number without leaving a remainder. A factor can never be greater than the original number. To find the factors of a number quickly: Start with $1$ and the number itself. Try dividing the number by each integer from $2$ upwards. If the division leaves no remainder, add both the divisor and quotient to the factor list. Stop once the divisor exceeds $\sqrt{n}$. Step-by-Step: Factors of 27 We start with: $$ 1, \quad 27 $$ ...
A prime number is a number that has exactly two positive factors: $1$ and itself. If no other positive integers divide evenly into it, the number is considered prime. This article explains how to determine if $43$ is prime using a simple step-by-step method. What Is A Prime Number? A prime number has exactly two factors: $$ \text{Factors of a prime number} = {1, \text{the number itself}} $$ If we discover any additional factor, the number is not prime. ...