Problem 21 - Fundamentals of Mathematics

Question

For the following 18 problems, perform each subtraction. Use a calcula tor to cherk each result. $$ 12-7 $$

Step-by-Step Solution

Answer

The result of 12 - 7 is 5.

Step 1: Understand the Problem

Identify that the exercise requires you to subtract two numbers: 12 and 7.

Step 2: Perform the Subtraction

Subtract the smaller number from the larger number. Begin with 12 and subtract 7. Compute \( 12 - 7 \).

Step 3: Calculate the Difference

The difference, or result of the subtraction \( 12 - 7 \), is 5.

Step 4: Verify with a Calculator

Use a calculator to check your work. Enter 12, subtract 7, and confirm the result displays as 5.

Key Concepts

Checking Subtraction with Calculator

After manually solving a subtraction problem, it’s always a good idea to double-check your answer using a calculator. This method ensures accuracy, especially in learning environments or when doing homework.

• Start by turning on the calculator and inputting the first number, which in this exercise is 12.
• Next, press the subtraction key (usually labeled as "-").
• Enter the second number, which is 7, and then press the equals button.
• Check the displayed result. In this case, the display should show 5.

If your answer matches the calculator's, congratulations! You've confirmed your subtraction is correct. If not, you'll spot any mistakes and have the opportunity to correct them. This process empowers you to learn from errors, strengthening your math skills.

Difference in Subtraction

The term 'difference' in subtraction refers to the result you obtain after subtracting one number from another. In simple terms, it's what remains after the deduction is complete.
Consider the problem of subtracting 7 from 12 as an example:

• Start by acknowledging 12 as the minuend, the number you are subtracting from.
• Next, recognize 7 as the subtrahend, the number that is subtracted.
• The resulting number, 5, is known as the difference.

Whenever you perform subtraction, finding the difference helps you determine how much more one number is compared to another. Understanding this concept is crucial as it lays the foundation for more complex math operations.

Subtraction Exercise

Subtraction exercises like the one from this problem are essential for practicing and sharpening your arithmetic skills. They teach you how to handle numbers and improve your ability to solve real-world problems.
Here's how you can approach any subtraction exercise:

• Look closely at the numbers and ensure you know which to subtract from which (minuend and subtrahend).
• Perform the subtraction step-by-step. Begin with any borrowing if necessary in larger numbers.
• If unsure of your answers, use aids, such as calculators, to verify them.

With practice, subtraction exercises become easier, fostering confidence in working with numbers. They also prepare you for more advanced mathematics by reinforcing your ability to calculate and reason through numerical problems.