What is 16(h+3) in verbal expression
The Correct Answer and Explanation is:
The expression 16(h + 3) can be translated into a verbal expression as:
“Sixteen times the quantity of h plus three.”
Explanation:
To break this down, let’s look at the different components of the mathematical expression and how each one is represented in words.
- 16: The number 16 is simply “sixteen” in words. This is the constant factor that will multiply the terms inside the parentheses.
- (h + 3): This part of the expression is a sum, indicated by the parentheses. Inside the parentheses, we have:
- h: This represents a variable, often used to denote an unknown quantity. In words, it would be referred to as “h,” or more specifically “the variable h.”
- + 3: The addition of 3 is simply “plus three.” Addition is often expressed as “plus” or “added to” in verbal forms.
- Multiplication of the expression: The main operation here is multiplication. In verbal expression, multiplication is often indicated by terms like “times,” “multiplied by,” or “the product of.” Here, the 16 is multiplying the sum of “h + 3,” so we use the phrase “sixteen times.”
When combining all the parts, we say: “Sixteen times the quantity of h plus three.” The word “quantity” is used to indicate that what follows (h + 3) is a grouped or single entity being operated on by the multiplication. This verbal expression maintains the order of operations in mathematics, where multiplication is performed after simplifying the expression inside the parentheses.
Further Breakdown:
- If we were to simplify the expression mathematically, it would be written as 16h + 48, which means the number 16 is multiplied by both h and 3, resulting in 16h and 48 (since 16 times 3 equals 48). But in the verbal form, we focus on the original expression 16(h + 3) and how it is read aloud, emphasizing multiplication of the entire sum inside the parentheses.
Thus, the verbal expression correctly communicates the relationship between the terms in the mathematical formula.