Write the phrase "the quotient of a number and 9" as a mathematical expression.
A) x+9
B) x-9
C) x-9
D) xá 9
Answer (2)
Represent the unknown number with the variable x .
Translate "the quotient of a number and 9" to x divided by 9.
Write the division as x á 9 .
The correct mathematical expression is x á 9 â .
Explanation
Understanding the Problem Let's break down the problem. We need to translate the phrase "the quotient of a number and 9" into a mathematical expression. The word "quotient" indicates division. So, we need to divide a number by 9.
Translating the Phrase Let's use the variable x to represent the unknown number. The quotient of x and 9 means x divided by 9, which can be written as x o b re ak á 9 or 9 x â .
Identifying the Correct Option Now, let's compare our expression with the given options: A) x + 9 (addition) B) x â 9 (subtraction) C) x â 9 (subtraction) D) x á 9 (division)
The correct option is D, as it represents the quotient of x and 9.
Final Answer Therefore, the mathematical expression for "the quotient of a number and 9" is x á 9 .
Examples
Understanding how to translate phrases into mathematical expressions is crucial in many real-world scenarios. For example, if you're calculating how to split a bill evenly among a group of friends, you're finding the quotient. If a pizza costs $18 and you're splitting it among 3 friends, the expression would be 18 á 3 , which tells you each person owes $6. This skill is also useful in more complex situations, such as calculating rates, ratios, and proportions in science, engineering, and finance.
The phrase "the quotient of a number and 9" translates to the mathematical expression x á 9 . The correct answer from the given choices is option D, which represents the division of a number by 9.
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