Question

in 15 and 16, use the expression ( 1 + \frac{z}{3} + 2w ).

1. which part of the expression is a quotient? describe its parts.
2. which part of the expression is a product of two factors? describe its parts.

Explanation:

Step1: Analyze the expression structure

The given expression is \(1+\frac{z}{3}+2w\). We need to identify which part is a quotient and which is a product.

Step2: Identify the quotient

A quotient is the result of division. In the expression, \(\frac{z}{3}\) is a division operation ( \(z\) divided by \(3\) ), so \(\frac{z}{3}\) is the quotient. The numerator is \(z\) and the denominator is \(3\).

Step3: Identify the product

A product is the result of multiplication. In the expression, \(2w\) is a multiplication operation ( \(2\) multiplied by \(w\) ), so \(2w\) is the product. The factors are \(2\) and \(w\).

Answer:

1. The quotient part is \(\frac{z}{3}\), where \(z\) is the dividend and \(3\) is the divisor.
2. The product part is \(2w\), where \(2\) and \(w\) are the factors.