Find each sum or difference. 13 + (-4)

Verified step by step guidance

1. Identify the operation: You are asked to find the sum of 13 and -4, which means you are adding a positive number and a negative number.
2. Rewrite the expression to understand it better: \$13 + (-4)\( can be seen as \)13 - 4$ because adding a negative number is the same as subtracting the positive value.
3. Perform the subtraction: Subtract 4 from 13, which involves finding the difference between the two numbers.
4. Calculate the difference: Since 13 is greater than 4, subtracting 4 from 13 will give a positive result.
5. Write the final expression for the sum: The result of \$13 + (-4)\( is the same as \)13 - 4$, which simplifies to the difference you calculated.

Key Concepts

Integer Addition and Subtraction

Integer addition and subtraction involve combining positive and negative whole numbers. Adding a negative number is equivalent to subtracting its absolute value, so 13 + (-4) means moving 4 units left from 13 on the number line.

Number Line Representation

The number line is a visual tool to understand addition and subtraction of integers. Positive numbers lie to the right of zero, and negative numbers to the left. Adding a negative number moves left, while adding a positive number moves right.

Absolute Value

Absolute value measures the distance of a number from zero, regardless of direction. When adding a negative number, its absolute value helps determine how far to move left on the number line, as in 13 + (-4), where 4 is the absolute value.