Problem 24 - Elementary Algebra

Question

Write the expressions in words. $$ 5+7 $$

Step-by-Step Solution

Answer

Question: Rewrite the expression 5 + 7 in words. Answer: The given expression, written in words, is "five plus seven".

Step 1: Rewrite the first number in words.

The first number is 5, which can be written as "five". Step 2: Write the expressions in words.

Step 2: Rewrite the operation in words.

The operation is addition, which can be written as "plus". Step 3: Write the expressions in words.

Step 3: Rewrite the second number in words.

The second number is 7, which can be written as "seven". Step 4: Write the expressions in words.

Step 4: Combine the words for the numbers and the operation.

Combine "five", "plus", and "seven" to form the final expression in words: "five plus seven".

Key Concepts

Algebra Basics

Understanding how to translate mathematical expressions into words is a fundamental aspect of algebra. Algebra involves using letters, numbers, and symbols to represent and solve problems. It allows for structure and clarity when dealing with unknown variables or multiple parts of a problem. When we look at an algebraic expression like \(5 + 7\), each part of it can be broken down into a natural language format. This translation process helps students better grasp the abstract nature of algebra by making it more relatable.

• The numbers in the expression (5 and 7) are constants. They have fixed values and can be easily named.
• The symbol \( + \) represents the arithmetic operation involved, which we'll explore further in the next section.

To successfully navigate algebra, it's helpful to become comfortable with both the numerical and verbal components of expressions.

Arithmetic Operations

Arithmetic operations are the basic calculations we perform with numbers, such as addition, subtraction, multiplication, and division. In the context of the problem \(5 + 7\), the operation being used is addition. Addition is fundamental to arithmetic, and it is often one of the first operations students learn. In words, the addition operation is expressed as "plus."
When writing a math expression in words, it’s crucial to correctly identify and verbalize the operation being performed. This step ensures a precise and clear communication of what action needs to be taken with the numbers involved. Here’s a simple way to think about common arithmetic operations in words:

• \( + \) means "plus"
• \( - \) means "minus"
• \( \times \) means "times" or "multiplied by"
• \( \div \) means "divided by"

Understanding these operations enriches problem-solving skills and strengthens mathematical literacy.

Numbers in Words

Converting numbers into words is an essential skill not just in mathematics, but in daily communication. Recognizing the numerical values and being able to express them verbally is critical for clarity and understanding in both written and spoken language. In the exercise given, we are translating the numbers 5 and 7 into words.
Here’s a quick guide:

• The number 5 is written as "five."
• The number 7 is written as "seven."

Once each element of the mathematical expression is converted into words, they can be combined to form a complete phrase. For our example, \(5 + 7\) translates to "five plus seven."
This ability to seamlessly move between numerical and verbal representations is advantageous not only in math assignments but also in real-world situations such as writing checks, creating documents, or verbalizing data.