Question

Which expression represents the phrase the quotient of a number and seven?

Here are the choices


A. 7-n


B. 7n


C. N-7


D. N

—

7

Pls answer asap and explain

Answer 1

D. N/7

Explanation:

You want to know the math expression that represents the phrase, "the quotient of a number and seven."

Discussion

Every math operation has an English description of its result:

• sum — the result of adding two (or more) numbers in any order
• difference — the result of subtracting a second number from a first number. (Sometimes, the English usage means "the positive difference", which is the result of subtracting the smaller from the larger.)
• product — the result of multiplying two (or more) numbers in any order
• quotient — the result of dividing a first number by a second number

Application

You want the quotient of a number and seven. This is the result of dividing the number by 7.

When this is written as a math expression, we usually like to use a symbol to represent "a number." Your answer choices show that the symbol "N" is preferred for that purpose here.

The division ("divided by") symbol in math is either of ÷ or / (a fraction bar). So, "the quotient of a number and seven" means "N divided by 7". This can be written as ...

• N ÷ 7
• N/7

If the expression is typeset, it can be written as ...

`(N)/(7)`

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Additional comment

Here, the divisor (the denominator, or the number on the bottom) is a single number. If it were an expression, then it would need to be enclosed in parentheses in the plain-text forms:

• N ÷ (a +7)
• N/(a +7)

In the typeset form, the fraction bar serves the same grouping purpose that the parentheses serve.

`(N)/(a+7)`