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


the difference of y and also 3 → y-3


the product the n and also 2 → 2n


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.

See more: How To Get Estore Points On Webkinz ? Estore Points

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!

a number add to 9y + 9
the amount of a number and also 10m + 10
total that a number and 5b + 5
a number enhanced by 4x + 4
h take away 2h − 2
2 take far by a number2 − h
a number minus 11k − 11
11 minus a number11 − k
a number decreased by 7y − 7
the distinction of n and 25n − 25
the distinction of 25 and n25 − n
5 less than a numberx − 5
x much less than the number 55 − x
the product the r and 44r
7 times a number7p
double a number2x
triple a number3x
a number split by 4w / 4
the quotient the w and 6w / 6
the quotient that 12 and also m12 / m
a number separated by 3f / 3
t end 7t / 7
5 right into a numbera / 5
a number into 55 / 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 y3y + 11
6 much less than the quotient of c and 10( c / 10 ) − 6
3 minus the product of 5 and a number3 − 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 32m − 3

You might additionally be interested in: