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+5Subtraction
the difference of y and also 3 → y-3Multiplication
the product the n and also 2 → 2nDivision
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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