Evaluate, correct to four significant figures, (573.06 x 184.25).

Compute 573.06 × 184.25 exactly.

573.06 × 184.25 = 573.06 × 184 + 573.06 × 0.25

573.06 × 184:

• 573.06 × 100 = 57306
• 573.06 × 80 = 45844.8
• 573.06 × 4 = 2292.24
• Sum = 57306 + 45844.8 + 2292.24 = 105443.04

573.06 × 0.25 = 143.265

Total = 105443.04 + 143.265 = 105586.305

Rounding to 4 significant figures: 105586.305 → the first four digits are 1, 0, 5, 5, and the next digit is 8, so we round up: 1056 followed by zeros, giving 105600.

Check against the options:

• A. 105600.00 is 105586.305 rounded to 4 s.f. ✔
• B. 105622.00 has 8 s.f. and isn't the product.
• C. 105500.00 would result from rounding down, which is wrong because the next digit is 8.
• D. 105632.00 isn't the product.

Answer: A

Tip: For significant figures, count digits from the first non-zero digit. Look at the digit right after your cut-off: 5 or more rounds up, and the remaining places are filled with zeros. Estimating first (≈ 573 × 184 ≈ 105,400) helps you spot wrong options quickly.