Problem 43 Translate to an algebraic expres... [FREE SOLUTION]

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Chapter 1: Problem 43

Translate to an algebraic expression. \(x\) divided by \(w\)

Short Answer

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\( \frac{x}{w} \)

Step by step solution

Understanding the Problem

Identify the components of the phrase 'x divided by w'. The variable 'x' is being divided by another variable 'w'.

Choose the Correct Division Symbol

In algebra, division is represented by a fraction. So, 'x divided by w' can be written as \( \frac{x}{w} \).

Construct the Algebraic Expression

Combine the variables and the division operation to form the expression. The resulting expression is \( \frac{x}{w} \).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Division

Division is one of the four fundamental arithmetic operations. In simple terms, it is splitting a number into equal parts. When we divide one number by another, we find out how many times one number is contained within the other. For example, if we divide 10 by 2, we get 5 because 10 can be split into 2 parts, each being 5.

In algebra, division is often represented as a fraction. When we say 'x divided by w', we write it as \( \frac{x}{w} \). Here, 'x' is the numerator, and 'w' is the denominator. This tells us how many times w is contained in x.

Variables

Variables are symbols used to represent numbers whose values are not yet known. These are typically letters like x, y, or w. They allow us to write mathematical expressions in a general form that applies to many situations, not just one specific problem.

For example, in the expression \( \frac{x}{w} \), both x and w are variables. This means that the value of the expression will change depending on what values we substitute for x and w. By using variables, we make our mathematical expressions more flexible and powerful.

Fractions

A fraction represents a division of two quantities. It consists of a numerator (the top part) and a denominator (the bottom part). For example, in the fraction \( \frac{3}{4} \), 3 is the numerator, and 4 is the denominator. This fraction tells us that 3 is being divided into 4 equal parts.

In algebra, fractions are used to represent division between variables. In the expression \( \frac{x}{w} \), x is the numerator, and w is the denominator. This shows that x is being divided into w equal parts. Understanding fractions is key to grasping more complex algebraic concepts.

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91影视

Translate to an algebraic expression. \(x\) divided by \(w\)

Short Answer

Step by step solution

Understanding the Problem

Choose the Correct Division Symbol

Construct the Algebraic Expression

Key Concepts

Division

Variables

Fractions

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