Problem 555 - Prealgebra

Question

Multiplex There are twelve theaters at the multiplex and each theater has 150 seats. What is the total number of seats at the multiplex?

Step-by-Step Solution

Answer

The total number of seats at the multiplex is 1800.

Step 1: Identify the Variables

Determine the number of theaters and the number of seats in each theater. There are 12 theaters, and each theater has 150 seats.

Step 2: Set Up the Multiplication

To find the total number of seats, multiply the number of theaters by the number of seats per theater. This can be expressed as an equation: \ \( 12 \times 150 \).

Step 3: Perform the Multiplication

Calculate the product of 12 and 150: \ \( 12 \times 150 = 1800 \).

Step 4: State the Result

The total number of seats at the multiplex is 1800.

Key Concepts

Basic Arithmetic

Basic arithmetic forms the foundation of many mathematical concepts and daily life tasks. It includes operations like addition, subtraction, multiplication, and division. These operations help in solving problems and understanding more complicated mathematics.
In the given exercise, multiplication is our primary focus. When we multiply two numbers, we essentially add one number to itself a certain number of times. For instance, multiplying 12 by 150 means adding 150 to itself 12 times.
Understanding basic arithmetic is crucial as it lays the groundwork for advanced topics in math. Plus, it helps in problem-solving and decision-making in everyday life.

Problem-Solving Steps

When faced with a problem, following structured steps can make finding the solution easier. Let's break down the steps from the exercise:

• Identify the Variables: Know what you’re dealing with. Here, we need to determine the number of theaters and seats per theater.
• Set Up the Equation: Express the problem as a mathematical equation. In our exercise, it’s multiplying the number of theaters (12) by the number of seats per theater (150).
• Perform the Multiplication: Carry out the operation. Calculate 12 multiplied by 150 = 1800.
• State the Result: Clearly present your final answer. The total number of seats at the multiplex is 1800.

By following these steps, the problem becomes more manageable and ensures you don’t miss any important part of the solution.

Prealgebra Multiplication

Prealgebra multiplication is a fundamental skill taught early on, preparing students for algebra and more advanced mathematics. It is not just about knowing multiplication tables but also understanding how to apply multiplication in various scenarios.
In our problem, identifying the need for multiplication is crucial. We have two groups (theaters and seats per theater) and need to find a total. Multiplication helps simplify this process instead of repeatedly adding 150 for each of the 12 theaters.
Practicing these kinds of problems strengthens your mental math skills and makes you more comfortable with bigger numbers. It also helps in recognizing patterns and solutions quicker in more complex problems later on.