Problem 22 - Fundamentals of Mathematics

Question

Find the sums in the following 27 problems. If possible, use a calculator to check each result. $$ 4+12 $$

Step-by-Step Solution

Answer

The sum of 4 and 12 is 16.

Step 1: Understand the Problem

We need to find the sum of the numbers 4 and 12.

Step 2: Add the Numbers

Now, let's perform the addition: \[ 4 + 12 = 16 \]

Step 3: Verify with a Calculator

Use a calculator to check your work. Enter '4 + 12' into the calculator, and verify that the result displayed is 16.

Key Concepts

Addition

Addition is one of the basic operations in arithmetic, and it involves finding the total or sum by combining two or more numbers. In our example, we have the numbers 4 and 12. To add them, simply line up the numbers and start adding from the rightmost digit.
The process is straightforward:

• Write the two numbers, one below the other, with their digits aligned.
• Starting from the right, add each column of digits.
• If necessary, carry over any extra digits.
  

For 4 + 12:

• Add the units column: 4 + 2 = 6.
• There is no carryover since both digits add up to 6.
  
• Move to the tens column: 1 + 0 = 1.

Thus, the sum is 16. Addition helps us quickly and easily determine how quantities increase when combined.

Calculator Use

Using a calculator can be an effective way to ensure the accuracy of your arithmetic calculations. Especially as numbers get larger or calculations become more complex, relying on a calculator can help prevent simple mistakes.
Here's how to use a calculator for basic addition:

• Turn on the calculator.
• Enter the first number, in this case, '4.'
• Press the '+' button.
• Enter the second number, '12.'
• Press the '=' button to see the result.
  

For our example, you should see '16,' confirming our hand-calculated sum. Using a calculator for verification is a good habit to develop, as it helps reinforce your math skills and ensures the correct final answer.

Verification

Verification is an important step to make sure your calculations are correct. Even small mistakes can lead to incorrect answers, so it's always a good idea to double-check your work.
There are several ways to verify addition:

• Check your work by reversing the order of numbers (e.g., 12 + 4 should also equal 16).
• Use estimation to see if your answer is reasonable (e.g., 4 + 12 should be slightly above 10, as one of the numbers itself is 12).
• Most importantly, use a calculator to confirm the result.
  

By implementing these methods, you ensure accuracy in your math work and reinforce the step-by-step process. Verification is not only about getting the right answer but also about understanding the process and building confidence in your arithmetic skills.