Arithmetic of signed values in circuit calculations: Compute the algebraic sum of the sequence: +2, −3, −6, +4.

Introduction / Context:
Accurate arithmetic with signed numbers is essential for circuit analysis, including KCL/KVL sums, phasor components, and error budgeting. This quick calculation reinforces careful handling of signs.

Given Data / Assumptions:

• Sequence of signed integers: +2, −3, −6, +4.
• Standard arithmetic rules apply.
• No units; pure numeric sum.

Concept / Approach:
Combine terms stepwise, being consistent with sign operations. Grouping positive and negative contributions can reduce mistakes. This mirrors summing polarities in circuit loops.

Step-by-Step Solution:
Start: 0 + 2 = 2.Then 2 − 3 = −1.Then −1 − 6 = −7.Finally −7 + 4 = −3.

Verification / Alternative check:
Group positives and negatives: positives = 2 + 4 = 6; negatives = 3 + 6 = 9; 6 − 9 = −3. Both methods agree.

Why Other Options Are Wrong:
(a) −6 results from an arithmetic slip; (c) 0 would incorrectly balance terms; (d) +2 is the first partial sum, not the final total.

Common Pitfalls:
Dropping signs, rushing steps, or failing to regroup terms to check results.

Final Answer:
-3.