Just like any language, math has a method to interact ideas. One algebraic expression is a compact method of relenten mathematical objects using a combination of numbers, variables (letters), and arithmetic operationsnamely addition, subtraction, multiplication, and also division.

You are watching: The quotient of m and n

In various other words, the three main contents of algebraic expressions room numbers, variables, and arithmetic operations.

Numbers or Constants

Examples:1, 6, 8, 27, 32, etc.

Variables or Letters

Examples:x, y, a, h, p, etc.

Arithmetic Operations

Examples:+ (addition), - (subtraction) , \times (multiplication) , ÷ (division)

The following are easy examples that can help you gain familiarized v the work of addition, subtraction, multiplication,and division.

the amount of x and also 5 → x+5

Subtraction

the difference of y and also 3 → y-3

Multiplication

the product the n and also 2 → 2n

Division

the quotient of k and also 7 → \Largek \over 7

## Writing Algebraic expressions Step-by-Step instances

Let’s walk over more examples.

Example 1: The sum of double a number and also 3

Answer: Let change x it is in the unknown number. So twice a number method 2x. The sum (use to add symbol) of double a number and also 3 have the right to be written as 2x+3.

Example 2: The difference of triple a number and 5

Answer:Let variable y it is in the unknown number. For this reason triple a number way 3y. The difference (use minus symbol) that triple a number and 5 should be composed as 3y - 5.

Example 3:The sum of the quotient that m and 2, and the product the 4 and n.

Answer:In this case, the unknown numbers room already detailed as m and n. That’s one less thing come worry.

The an essential is to acknowledge that we room going to add a quotient and also a product.

the quotient of m and 2 is expressed together \Largem \over 2the product the 4 and also n is expressed as 4n

Therefore, the amount of the quotient and product is \Largem \over 2 + 4n.

Example 4: The distinction of the productof 7 and w, and also the quotient that 2 and v.

Answer: In this case, the unknown numbers have actually been assigned with matching variables which are w and also v.

The vital is to recognize that we space going to subtract the product by the quotient of some expressions.

the product of 7 and also w is expressed as 7wthe quotient that 2 and v is expressed as \Large2 \over v

Therefore, the difference of the product and also quotient is 7w - \Large2 \over v.

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## Common words or state to average Addition, Subtraction, Multiplication, and also Division

Now, let’s go over some typical words or phrases that explain the 4 arithmetic operations. That is an essential that girlfriend knowthese native or phrases to be effective in creating or interpreting any kind of given algebraic expression.

## Math Phrases into Algebraic Expressions

The crucial to finding out is to study a the majority of examples!

 MATH PHRASES ALGEBRAIC EXPRESSIONS a number add to 9 y + 9 the amount of a number and also 10 m + 10 total that a number and 5 b + 5 a number enhanced by 4 x + 4 h take away 2 h − 2 2 take far by a number 2 − h a number minus 11 k − 11 11 minus a number 11 − k a number decreased by 7 y − 7 the distinction of n and 25 n − 25 the distinction of 25 and n 25 − n 5 less than a number x − 5 x much less than the number 5 5 − x the product the r and 4 4r 7 times a number 7p double a number 2x triple a number 3x a number split by 4 w / 4 the quotient the w and 6 w / 6 the quotient that 12 and also m 12 / m a number separated by 3 f / 3 t end 7 t / 7 5 right into a number a / 5 a number into 5 5 / a the sum of x and also 7 split by 2 ( x + 7 ) / 2 the difference of m and also 3 end 5 ( m − 3) / 5 11 more than the product the 3 and y 3y + 11 6 much less than the quotient of c and 10 ( c / 10 ) − 6 3 minus the product of 5 and a number 3 − 5x the amount of 5 and also the quotient of z and also 7 ( z / 7 ) + 5 the distinction of double a number and also 3 2m − 3

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