Evaluate mixed operations carefully: Compute 26.003 − (154.001 ÷ 6.995). Choose the nearest option.

Introduction / Context:
This expression mixes subtraction and division. Per operation precedence, the division must be evaluated first, then subtracted from 26.003. Because the inputs are close to convenient values, estimates align well with the nearest integer result.

Given Data / Assumptions:

• a = 26.003
• b = 154.001
• c = 6.995
• Expression: a − (b / c)

Concept / Approach:
First compute b/c. Since 154/7 ≈ 22, we expect b/c to be about 22. Then subtract from a = 26.003 to get a result near 4. Small decimals will not change the nearest-integer choice.

Step-by-Step Solution:

Verification / Alternative check:
Using tighter computation gives about 3.987, still closest to 4 among the options. The small negative correction from 22.01 to 21.99 does not change the nearest option.

Why Other Options Are Wrong:

• 9, 10, 18: far larger than the computed difference.
• 6: still too large compared to the ~4 outcome.

Common Pitfalls:
Subtracting before dividing, or mistakenly treating the expression as (26.003 − 154.001) ÷ 6.995, which would be incorrect due to operator precedence.

Final Answer:
4