Problem 24 - Fundamentals of Mathematics

Question

For the following 6 problems, write each expression in words. \(5+3\)

Step-by-Step Solution

Answer

Five plus three.

Step 1: Identify the Addition Operation

Recognize that the expression involves addition because it uses the "+" symbol.

Step 2: Interpret the Numbers

Identify the numbers involved in the addition operation, which are 5 and 3.

Step 3: Combine Operation and Numbers in Words

Express the numbers and the operation in words: 'five plus three.'

Key Concepts

addition operation

When dealing with mathematical expressions like \(5 + 3\), it's important to first identify the addition operation. The addition operation is one of the four basic arithmetic operations and is signified by the \(+\) symbol. This symbol indicates that we are combining quantities together.

In simple terms, addition helps us find the total or sum when we put things together. For example, if you have five apples, and you get three more, the addition operation helps you calculate the total number of apples you now have. In this case, you would perform the operation by simply adding the numbers: first 5, then 3, making a total of 8.

• Recognition: Look for the \(+\) sign in expressions.
• Understanding: Know that addition combines numbers into a larger total.

interpreting numbers

Understanding how to interpret numbers in a mathematical expression is crucial. Each number in an expression represents a specific quantity. In our example, with the expression \(5 + 3\), we have the numbers 5 and 3.

These numbers don't just exist in a vacuum. They can represent objects, actions, or concepts depending on the context. In a classroom, they might represent the number of books, while in a sports game, they could represent points scored. Knowing the role and meaning of each number helps in evaluating the expression fully.

• Identification: Recognize numbers in the expression.
• Contextualization: Understand what each number might represent in different scenarios.

writing expressions in words

The final step in comprehending a mathematical expression is translating it into words. This involves combining both the numbers and the operation into a coherent phrase. For the expression \(5 + 3\), this process is relatively simple.

To write \(5 + 3\) in words, you start by saying each number as if it stood alone. Here, that's "five" and "three." Next, include the word "plus" to indicate the addition operation. So, in words, the expression is "five plus three."

• Sequence: Write numbers exactly as they appear.
• Operation: Include the word for the mathematical operation (e.g., "plus").
• Complete Expression: Ensure the entire mathematical expression is captured in the phrase.