To solve the problem [tex]\( 1,256 + (-4,450) \)[/tex], follow these steps:
1. Identify the Numbers: We have two numbers: [tex]\( 1,256 \)[/tex] and [tex]\( -4,450 \)[/tex]. The first number is positive, and the second number is negative.
2. Understand the Operation: Addition of a positive number and a negative number can be thought of as a subtraction because adding a negative is equivalent to subtracting its absolute value.
3. Calculate the Absolute Values: Find the absolute value of each number:
[tex]\[
|1,256| = 1,256 \quad \text{and} \quad |-4,450| = 4,450
\][/tex]
4. Perform the Subtraction: Subtract the smaller absolute value from the larger absolute value:
[tex]\[
4,450 - 1,256 = 3,194
\][/tex]
5. Determine the Sign of the Result: Because the larger absolute value is from the number [tex]\( -4,450 \)[/tex], the result will be negative.
6. Combine the Sign with the Result: Therefore, the result of the subtraction with the correct sign is:
[tex]\[
-3,194
\][/tex]
So, the final answer is:
[tex]\[
1,256 + (-4,450) = -3,194
\][/tex]
