182 × 300 ÷ 154 + 342 = ? (Note: wherever a step's result is not an exact…

Concept: In a BODMAS/simplification expression, Division and Multiplication share equal precedence. For pure, unrounded arithmetic a chain of only ×/÷ can be regrouped freely — 182 × 300 ÷ 154 equals 182 × (300 ÷ 154) exactly. This question's own note says to truncate (not round) any non-exact intermediate result to two decimal places before continuing, so the division is evaluated first and its quotient is truncated to two decimal places before multiplying — this is what fixes the final total, and it is why the order in which the division and multiplication are carried out matters here even though it would not matter for exact arithmetic.

1. 182 × 300 ÷ 154 + 342: the × and ÷ have equal precedence; per the question's note, evaluate the division first so its result can be truncated before multiplying.

2. Divide: 300 ÷ 154 = 1.9480…; truncating (dropping, not rounding) beyond two decimal places gives 1.94.

3. Multiply the truncated quotient by 182: 182 × 1.94 = 353.08.

4. Add the remaining term: 353.08 + 342 = 695.08.

Cross-check: reapplying the same rule independently — divide 300 by 154 (1.9480…), truncate to 1.94, multiply by 182 (353.08), add 342 — reproduces 695.08 consistently. For contrast, evaluating with full (untruncated) precision gives 54600 ÷ 154 + 342 ≈ 696.55, a different value; this confirms the question's own two-decimal truncation note is what determines 695.08, not a coincidence.

Result: 182 × 300 ÷ 154 + 342 = 695.08.