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**.

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

Variables or LettersExamples:x, y, a, h, p, etc.

Arithmetic OperationsExamples:+ (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.

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.

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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