Problem 28 - Prealgebra

Question

Write a numerical expression for each verbal phrase. six minus three

Step-by-Step Solution

Answer

The expression is \( 6 - 3 \).

Step 1: Identify the Numbers

In the given verbal phrase, 'six minus three,' the numbers mentioned are six and three. These are the numbers you will be using in your expression.

Step 2: Determine the Operation

The word 'minus' in the phrase indicates a subtraction operation. Therefore, you will be subtracting one number from another.

Step 3: Write the Expression

Combine the numbers from Step 1 with the operation from Step 2 to form the expression. This will be written as \( 6 - 3 \), where 6 is the number to be subtracted from and 3 is the number to be subtracted.

Key Concepts

Verbal Phrases

Verbal phrases are expressions composed of words that describe mathematical operations or relationships. They are essential building blocks in translating everyday language into numerical expressions. Understanding verbal phrases is crucial because they help you identify which arithmetic operation to use in a given problem.
For example, the verbal phrase "six minus three" guides you to perform a subtraction operation. Whenever you encounter verbal cues like *minus* or *less*, they signify subtraction. Other terms may indicate different operations, such as *plus* for addition or *times* for multiplication. Recognizing these verbal expressions ensures you correctly translate problems into their mathematical counterparts, allowing you to solve them accurately.

Basic Arithmetic Operations

Arithmetic operations are fundamental mathematical processes that involve addition, subtraction, multiplication, and division. These operations form the basis of arithmetic and are used to solve a wide range of problems.

• Addition: Combining two numbers to produce a sum.
• Subtraction: Taking one number away from another to find the difference.
• Multiplication: Repeated addition of a number.
• Division: Splitting into equal parts or groups.

Each operation has its unique set of symbols and terms, such as *minus* for subtraction or *plus* for addition. In the phrase "six minus three," the basic arithmetic operation at play is subtraction. By mastering these operations, you gain the skills needed to navigate more complex mathematical tasks.

Subtraction in Math

Subtraction is one of the four basic arithmetic operations and involves finding the difference between two numbers. It is represented by the minus sign (-). In the verbal phrase "six minus three," subtraction is the operation indicated.
The subtraction operation can be broken down into the following components:

• Minuend: The starting number, which in this case is 6.
• Subtrahend: The number being subtracted, which here is 3.
• Difference: The result of the subtraction, found as follows: \( 6 - 3 = 3 \)

The subtraction process is not just about taking numbers away but understanding relationships between quantities. Grasping this concept will enhance your number sense and strengthen your problem-solving skills.