Problem 249 - Prealgebra

Question

In the following exercises, multiply. $$1\cdot 43$$

Step-by-Step Solution

Answer

The product is 43.

Step 1: Understanding the Problem

The problem requires multiplying the numbers 1 and 43.

Step 2: Apply the Multiplicative Identity Property

The multiplicative identity property states that any number multiplied by 1 remains unchanged. Therefore, when you multiply 1 by 43, the result is simply 43.

Step 3: Perform the Multiplication

Calculate the multiplication: \(1 \times 43 = 43\)

Key Concepts

multiplicative identity property

The multiplicative identity property is a key concept in prealgebra multiplication. It simplifies solving multiplication problems, especially when one of the factors is 1. This property states that any number multiplied by 1 remains the same. For instance, in the problem:

\(1 \times 43\),
applying the multiplicative identity property directly gives us the result:

\(43\).
This property works universally for all real numbers. Hence, no matter what number you multiply with 1, the original number doesn’t change. It's a simple yet powerful trick to remember for quick computations.

basic arithmetic

Basic arithmetic forms the foundation of more complex math topics. It encompasses addition, subtraction, multiplication, and division. Understanding these basic operations is crucial. In our example, multiplication is the operation in focus. Multiplication can be thought of as repeated addition. For instance, \(3 \times 4\) means adding 3, four times:

3 + 3 + 3 + 3 = 12

In the given problem:
\(1 \times 43\),
it's effectively adding 43, one time, which is just 43.
Remembering these foundational concepts aids in grasping more complex math problems.

step-by-step solution

Following a step-by-step approach helps in clearly understanding and solving math problems. Let’s break down the given exercise:

Step 1: **Understanding the Problem**
Here, we identify that we need to multiply 1 and 43.

Step 2: **Apply the Multiplicative Identity Property**
Recall that multiplying any number by 1 doesn’t change its value. Hence, 1 multiplied by 43 remains 43.

Step 3: **Perform the Multiplication**
Finally, do the calculation if needed:
\(1 \times 43 = 43\).

This step-by-step breakdown helps to methodically handle and solve math problems, making the process clear and manageable.