Problem 22 - Fundamentals of Mathematics

Question

For the following 18 problems, perform each subtraction. Use a calcula tor to cherk each result. $$ 5-6 $$

Step-by-Step Solution

Answer

The result of 5 - 6 is -1.

Step 1: Identify the Numbers

The problem is to subtract 6 from 5. Identify the numbers involved: 5 is the minuend (the number from which we subtract), and 6 is the subtrahend (the number to subtract).

Step 2: Perform the Subtraction

Subtract 6 from 5. Since 5 is less than 6, the result will be a negative number. Calculate: \[ 5 - 6 = -1 \]

Step 3: Verify with a Calculator

Use a calculator to verify the calculation performed manually. Input 5, subtract 6, and confirm the display shows -1.

Key Concepts

Subtraction

Subtraction is a fundamental arithmetic operation that involves taking one number away from another. It's essential to understand the roles the numbers play: the minuend is the number you start with, and the subtrahend is the number you take away. For example, in the problem 5 - 6, 5 is the minuend and 6 is the subtrahend.

When the minuend is less than the subtrahend, like in this case, the result will be a negative number. This happens because you are essentially going below zero on the number line. To perform subtraction effectively:

• Always start by identifying which number is which.
• Subtract the subtrahend from the minuend carefully.
• Ensure accuracy by using techniques such as borrowing in larger numbers or working step-by-step.

Negative Numbers

Negative numbers are values less than zero and they play a crucial role in arithmetic. They are usually represented with a minus sign (-) before the number. In subtraction, when the number you subtract is larger than the number you are subtracting from, the result will be negative. Such as, when you calculate 5 - 6, the answer is -1.

Understanding the concept of negative numbers involves:

• Recognizing that negative numbers are positioned to the left of zero on a number line.
• Knowing that they decrease in value as the numbers become more negative.
• Practicing operations with negative numbers, which often appear in contexts like debt, temperature below zero, or below-ground levels.

Negative numbers have real-life applications. It's important to become comfortable with them in calculations, as they are part of everyday life.

Calculator Usage

Calculators are very useful tools in enhancing accuracy and efficiency in arithmetic operations. They help verify manual calculations and serve as a quick-check when solving complex problems. When learning subtraction, especially involving negative numbers, calculators can be invaluable.

To effectively use a calculator:

• Input numbers carefully to avoid mistakes.
• Use the subtraction (minus) button accurately to subtract the right values.
• Always double-check the result shown on the display with your expected outcome.

For example, to check the problem 5 - 6, you would input 5, press the minus button, then enter 6, and finally look for the result, which should be -1. With practice, calculator usage becomes a great asset in solving arithmetic problems quickly and accurately, allowing you to focus on mastering concepts.