Articles

To solve percent problems, you must remember the concept of three crucial things: Base, Part, and Percent.

• \(Base \ = \ Part \div Percent\)
• \(Part \ = \ Base \times Percent\)
• \(Percent \ = \ Part \div Base\)

Read More

A fraction is converted to a percent by first converting it to a decimal by dividing the numerator by the denominator of the fraction in question. Following that, once you've obtained the decimal, simply multiply it by \(100\) to obtain the percentage. To convert a percentage into a fraction, just divide the percentage by \(100\) and then simplify (if possible) to get the fraction.
Read More

To Calculate the Percentage of a number, firstly, we can apply the unitary method. Secondly, we take the fraction in consideration and change its denominator to \(100\).
Read More

To combine like terms in variable expressions, we must use 2 techniques:

• Firstly, we must add or subtract like terms like those with the same variable (like \(3x, \ -7x\)) or those with the same powers (like \(2x^2, \ -3x^2\)). Also, we must use the same sign for coefficients after combining the like terms.
• Next, we must apply distributive law if possible. The distributive property states that multiplication distributes over addition, i.e., \(x(y \ + \ z) \ = \ (xy \ + \ xz)\).

Read More

To evaluate two variables, we must follow the given steps:

• If possible, first simplify the variable expression
• Next, just substitute the value of the variables in the equation.

Read More

To evaluate a single variable, we must follow the given steps:

• If possible, first simplify the variable expression.
• Next, just substitute the value of the variable in the equation.

Read More

The distributive property is an extremely critical topic in the field of mathematics. As the word itself suggests, this property is extremely crucial while performing distributive multiplication over addition or subtraction. For example, let us consider the problem: \(5 \times (4 \ + \ 3 \ + \ 7)\)
Now to solve this in a more easy way, we will use the distributive property over addition. We will write this as: \(5 \times 4 \ + \ 5 \times 3 \ + \ 5 \times 7\)
As you can see, we distributed \(5\) over the three terms \(4\), \(3\), and \(7\).
Read More

In mathematics, algebraic statements or expressions are defined as a combination of a certain number of terms (that might be variables or constants) which are separated by certain mathematical operations. Now, to be precise, these terms can be pure variables (like \(x^2, \ x^3\)), pure constants (like \(2, \ 9, \ 45\), etc.) or even mixed terms with coefficients (like \(2x^2, \ 9x^3\), etc.). 
Read More

Similar figures are 2 figures with the exact shape. Objects having the exact same size and shape are called congruent objects. For instance, a person’s two hands or the 2 front wheels on a vehicle are a couple of examples of congruent objects. However, objects can be of a similar shape yet have varied sizes. Use the \(∼\) symbol to represent similarity.
Read More

In mathematics, the ratio is defined as the comparison between two numbers. This is generally done to find out how big or small a number or a quantity is with respect to another. So, what method do we use to find these ratios? Well, we use the division method. In a ratio, two numbers are divided.
Read More