Fill the missing value by approximation: 0.0005 × 76 × 10^3 + ? ≈ 170% of 29.98

Introduction / Context:We match a left-hand expression to a percentage of a number. One term involves scientific notation. After computing both sides approximately, we solve for the missing addend and select the nearest integer option.Given Data / Assumptions:

• Compute: 0.0005 × 76 × 10^3 + ? ≈ 170% of 29.98.
• 170% = 1.7 as a multiplier.

Concept / Approach:Evaluate the fixed product first, then the right-hand side, and finally isolate the unknown ?. Round to the nearest feasible option as customary for approximation problems.Step-by-Step Solution:

Verification / Alternative check:If we round 29.98 to 30, RHS ≈ 51 exactly; then ? ≈ 13. The closest available integer is still 12 (off by 1), which is acceptable within approximation tolerance given the choices provided.Why Other Options Are Wrong:

• 15 or 16 or 18: Overshoot the required ~13 by a wider margin than 12 does.

Common Pitfalls:Misinterpreting 10^3 or distributing 0.0005 incorrectly. Always compute the power-of-ten part first to stabilize place values, then multiply the remaining factors.Final Answer: