Write the phrase "the product of 19 and a number" as a mathematical expression.
A) $19 x$
B) $19 / x$
C) $19-x$
D) $19+x$
Answer (1)
Represent the unknown number with the variable x .
Translate "the product of 19 and a number" to 19 × x .
Simplify the expression to 19 x .
The correct option is 19 x .
Explanation
Understanding the Problem Let's break down this problem. We need to translate the phrase "the product of 19 and a number" into a mathematical expression. This means we're looking for the option that correctly represents multiplying 19 by some unknown number.
Translating to an Expression Let's use the variable x to represent the unknown number. The word "product" in mathematics means multiplication. So, "the product of 19 and a number" translates to 19 multiplied by x , which we write as 19 x .
Comparing with Options Now, let's compare our expression, 19 x , to the given options:
A) 19 x - This matches our expression. B) 19/ x - This represents 19 divided by x .
C) 19 − x - This represents 19 minus x .
D) 19 + x - This represents 19 plus x .
Finding the Correct Option The correct expression is 19 x , which corresponds to option A.
Examples
Imagine you're buying multiple items, each costing $19. If you want to know the total cost for an unknown number of items, you can use the expression 19 x , where x is the number of items you're buying. For example, if you buy 3 items, the total cost would be $19 \times 3 = $57. This simple algebraic expression helps you calculate the total cost quickly and easily.
