Apply scientific notation addition: evaluate (87 × 10^5) + (2.5 × 10^6) and express the sum using powers of ten, showing correct alignment of exponents and normalization.

Introduction / Context:
Adding numbers in scientific notation requires expressing both quantities with the same power of ten before combining their coefficients. This skill is essential in electronics and physics where values often span multiple orders of magnitude.

Given Data / Assumptions:

• First term: 87 × 10^5.
• Second term: 2.5 × 10^6.
• Goal: compute the sum and present it with a power-of-ten factor (not necessarily normalized to a 1–10 coefficient in the final option).

Concept / Approach:

To add, first match exponents. Convert the smaller exponent to the larger exponent by shifting the coefficient. Then add the coefficients and, if desired, renormalize. Options may use an unnormalized coefficient coupled with a power of ten that still represents the same value; such answers are acceptable if numerically equivalent.

Step-by-Step Solution:

Verification / Alternative check:

Compute as decimals: 87 × 10^5 = 8,700,000 and 2.5 × 10^6 = 2,500,000. Sum = 11,200,000, which equals 112 × 10^5. This matches the selected option.

Why Other Options Are Wrong:

1.12 × 10^4 is too small by orders of magnitude. 11.2 × 10^5 = 1.12 × 10^6, still too small. 1,120 × 10^6 = 1.12 × 10^9, far too large.

Common Pitfalls:

Adding coefficients without aligning exponents; confusing normalization rules with the underlying value; misplacing decimal points when shifting exponents.

Final Answer:

112 × 10^5