Which is the Closest approximation to the product 0.3333 x 0.25 x 0.499 x…
2025
Which is the Closest approximation to the product 0.3333 x 0.25 x 0.499 x 0.125 x 24 ?
- A.
.0025
- B.
.0256
- C.
0.125
- D.
.000126
Attempted by 22 students.
Show answer & explanation
Correct answer: C
Key insight: group numbers to simplify (use 0.3333≈1/3 and 0.499≈1/2).
Approximate the decimals as simple fractions: 0.3333 ≈ 1/3, 0.25 = 1/4, 0.499 ≈ 1/2, 0.125 = 1/8.
Group 0.3333 with 24: (1/3) × 24 = 8.
Multiply the remaining factors step by step: 8 × 0.25 = 2.
Then 2 × 0.499 ≈ 1 (more precisely ≈0.998), and 1 × 0.125 = 0.125.
Conclusion: the closest approximation to the product is 0.125.