Question

363 × 99 =

• A. 36663
• B. 35937
• C. 36300
• D. 36037

Answer 1

Answer:

B. 35937

• • Instead of performing traditional long multiplication, this problem can be solved quickly by recognizing that 99 is equal to (100 - 1).

  • Applying the distributive property of multiplication [a × (b - c) = (a × b) - (a × c)], the problem becomes: 363 × (100 - 1) = (363 × 100) - (363 × 1).

  • Step 1: Multiply 363 by 100. This is simply 363 with two zeros appended, resulting in 36300.

  • Step 2: Multiply 363 by 1. This remains 363.

  • Step 3: Subtract the result of Step 2 from the result of Step 1: 36300 - 363.

  • Final Calculation: 36300 - 363 = 35937.