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Arithmetic is the basic building block of mathematics. It involves four main operations: addition, subtraction, multiplication, and division. Subtracting a negative number might sound a bit confusing at first, but it's an essential part of arithmetic operations.
When we see an expression like \(4 - (-14)\), we need to understand that subtracting a negative is the same as adding a positive. This is because subtracting a negative number is equivalent to finding the difference in the opposite direction on the number line.

• Subtraction means taking something away, and with negative numbers, it means the opposite sign of what you see.
• Subtracting \(-14\) is the same as adding \(+14\).

In this way, arithmetic operations help us simplify expressions into more manageable parts, making complex problems easier to solve. This operation transforms our problem into \( 4 + 14 \), which is much easier to compute.

Integer addition involves combining two whole numbers. Negative numbers are whole numbers, just like positive ones, but they represent values less than zero. With integer addition, it’s helpful to think of operations on the number line.
When adding integers, remember these key points:

• Adding a positive integer involves moving to the right on the number line.
• Adding a negative integer involves moving to the left on the number line.

For \(4 + 14\), both numbers are positive, which means we move to the right, resulting in a larger value. It’s straightforward because you’re simply combining positive values. This yields the sum of 18.

A number line is a visual representation that helps understand the position and value of numbers. It’s a straight line with numbers placed at intervals, where:

• Numbers to the right are positive, increasing as you move further.
• Numbers to the left are negative, decreasing in value.

Using the number line for operations can be particularly helpful. Subtracting a negative number means you'll move in the positive direction—instead of going to the left, you'll go to the right. To visualize \(4 - (-14)\), you start at 4, and instead of moving 14 steps left, you move 14 steps right, effectively arriving at 18.
This method illustrates why subtracting a negative is the same as adding its positive counterpart. A number line makes abstract concepts more concrete, giving a clearer view of arithmetic operations with integers.