Math, like any other language, has a way of communicating ideas. An algebraic expression is a concise way of describing mathematical objects through the use of numbers, variables (letters), and arithmetic operations such as addition, subtraction, multiplication, and division. Show
The three main components of algebraic expressions are numbers, variables, and arithmetic operations.
Examples: 1, 6, 8, 27, 32, etc.
Examples: x, y, a, h, p, etc.
Examples: + (addition), - (subtraction) , \times (multiplication) , ÷ (division) The following are easy examples that can help you get familiar with the operations of addition, subtraction, multiplication, and division.
the sum of x and 5 → x+5
the difference of y and 3 → y-3
the product of n and 2 → 2n
the quotient of k and 7 → \Large{{k \over 7}} Writing Algebraic Expressions Step-by-Step ExamplesLet’s go over more examples. Example 1: The sum of twice a number and 3 Answer: Let variable x be the unknown number. So twice a number means 2x. The sum (use plus symbol) of twice a number and 3 can be written as 2x+3. Example 2: The difference of triple a number and 5 Answer: Let variable y be the unknown number. So triple a number means 3y. Thedifference(use minus symbol) of triple a number and 5 should be written as 3y - 5. Example 3: The sum of the quotient of m and 2, and the product of 4 and n. Answer: In this case, the unknown numbers are already provided as m and n. That’s one less thing to worry about. The key is to recognize that we are going to add a quotient and a product.
Therefore, the sum of the quotient and product is {\Large{{m \over 2}}} + 4n. Example 4: The difference of the product of 7 and w, and the quotient of 2 and v. Answer: In this case, the unknown numbers have been assigned with corresponding variables which are w and v. The key is to recognize that we are going to subtract the product by the quotient of some expressions.
Therefore, the difference of the product and quotient is 7w - {\Large{{2 \over v}}}. Common Words or Terms to Mean Addition, Subtraction, Multiplication, and DivisionLet’s go over some common words or phrases that describe the four arithmetic operations. It is critical that you understand these words or phrases in order to successfully write or interpret any given algebraic expression. Math Phrases into Algebraic ExpressionsThe key to learning is to study a LOT of examples!
You might also be interested in: Algebraic Expressions Worked Examples Algebraic Sentences Word Problems What does the quotient of a number and 3 mean?"The quotient" means we are dividing. Therefore, "the quotient of a number and 3# can be written as: n÷3. or. 3n.
What is the quotient in an algebraic expression?When you divide one rational expression by another, the result is called the quotient.
How do you write the product of 3 and a number?1 Answer. "The product of a number and three" should be 3n where n is the number.. IN the answer of the question you would have to explain something like this: Let n be the number. The product then is 3n .. The reason for this is that you could also let m stand for the number, in which case the answer would be 3m .. |