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.

Addition

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.

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!

MATH PHRASESALGEBRAIC EXPRESSIONS
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: