Understanding meaning of the mathematical expressions
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When solving mathematical problems, it is essential to know the meaning of the expressions you see on a test or a homework problem. If you don’t understand the meaning of the expression, you won’t be able to correctly do the problem. This post covers meaning behind equality and the four basic mathematical expressions: addition, subtraction, multiplication, and division.
Equality
This is about having equal or same parts. An equal symbol (=) is used to indicate equality, in mathematics. Following are some of the mathematical expression meaning equality:
 x is equal to y
 x is equivalent to y
 x is the same y
Each of these expressions means both x and y are equal or equivalent.
Addition
In mathematics, when we are talking about adding, we are talking about increasing. Increasing what and why how much is indicated in the problem. Observe the following expressions:
 total of x and y
 sum of x and y
 x added to y
 x increased by y
These mathematical expressions mean add x to y or x + y. A plus sign (+) indicates an addition operation.
Subtraction
In mathematics, subtraction is about reducing or making less. Again, as for addition, what you are reducing and by how much are dependent on the mathematical problem. The following are some of the mathematical expressions you may encounter while working with subtractions:
 x less y
 x minus y
 the difference between x and y
 from x subtract y
 x decreased by y
 x diminished by y
These mathematical expressions mean subtract y from x or x  y. A sign indicating subtraction is .
Multiplication
With multiplication in general the result is increased, just with addition. The result depends on what your mathematical expression. Here are mathematical expressions that all mean the same:
 x multiplied by y
 the product of x and y
In each of the above expressions, the meaning is that we want to multiply x by y, or x * y. * or X indicate multiplication.
Division
Division is similar to a subtraction operation in the sense that they both in general produce a lower (not the lowest!) resulting value than the numbers used for the carrying out the operations. 12  4 = 8 and 12 / 4 =3 is a good example of this statement. Here are some expressions indicating division operations:
 x divided by y
 the quotient of x and y
÷ and / indicate division.
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Random educational tips
1. Responsibility is the key to learning. Not only your teacher or instructor takes the responsibility to teach (or instruct) his/her students but the whole academic process is committed to your learning. Take a book as an example. Think about all the work that was put into creating that book. The author(s) took the responsibility of researching, writing, and meeting deadlines to get that book to the printing press. As a student, should not you take the opportunity to learn?
2. If you have to answer questions on a particular reading, it is helpful to read the questions first. By having read the questions, you will have a better idea of what to look for in the reading.