Problem 60 - Prealgebra

Question

Perform the indicated operations. $$5 \times 4 \times 2$$

Step-by-Step Solution

Answer

The result is 40.

Step 1: Multiply the First Two Numbers

Begin by multiplying the first two numbers given in the operation. Multiply 5 by 4 to get the result: \[ 5 \times 4 = 20 \]

Step 2: Multiply the Result by the Third Number

Take the result from Step 1 and multiply it by the next number in the operation. Multiply 20 by 2:\[ 20 \times 2 = 40 \]

Key Concepts

Step-by-Step Solutions

Breaking down complex operations into smaller, manageable steps is key in understanding mathematical problems. This method, known as step-by-step solutions, allows you to focus on one part of the problem at a time. Let's consider the example from our exercise. First, focus on the operation closest to the left, which is 5 multiplied by 4. Multiply these two numbers to get 20. Write down this intermediate result. Next, take this intermediate result and multiply it by the next number, which in this case is 2. This will give you the final result of 40. By following these steps, you allow your mind to process information more effectively without becoming overwhelmed by the whole problem at once. It’s like solving a puzzle piece by piece, ensuring each part is correct before moving to the next.

Basic Arithmetic Operations

Arithmetic operations are the foundational operations in math, and multiplication is one of them. In this exercise, we are primarily dealing with multiplication, a fundamental skill taught in prealgebra. - **Multiplication is essentially repeated addition:** For instance, 5 multiplied by 4 can be perceived as adding 5 four times (5 + 5 + 5 + 5). - **Understanding the multiplication table:** Memorizing multiplication tables up to a certain point (like 1-12) is helpful for quick calculations. - **Order of operations matters:** Typically, multiplication is performed from left to right, adhering to the order as indicated in the problem. These small tips make calculations more intuitive and help establish a strong base for tackling more elaborate mathematical operations.

Prealgebra Concepts

Prealgebra lays the groundwork for algebra and higher-level math concepts. It focuses on developing an understanding of numbers and basic operations such as addition, subtraction, multiplication, and division. - **Number Sense:** Understanding how numbers work is crucial. Prealgebra helps cultivate a sense of how numbers interact through different operations. - **Building Blocks:** Basic operations such as multiplication are the building blocks of higher mathematics. - **Practical Applications:** The skills learned in prealgebra, like the multiplication used in the exercise example, are applicable in everyday life, from calculating costs to dividing shares. Embracing these foundational concepts in prealgebra not only boosts confidence but also paves the way for successfully learning and applying more complex mathematical theories and problems.