Question

324 × 999 =

• A. 323677
• B. 323676
• C. 323680
• D. 324324

Answer 1

Answer:

B. 323676

1. Step 1: Rewrite the 'Nines' Number

   • Identify the number composed of nines, which is 999.

   • Rewrite 999 as (1000 - 1). This converts the original problem into 324 × (1000 - 1).

2. Step 2: Apply the Distributive Property

   • Recall the distributive property: a × (b - c) = (a × b) - (a × c).

   • Here, 'a' is 324, 'b' is 1000, and 'c' is 1.

   • Apply this to the expression: (324 × 1000) - (324 × 1).

3. Step 3: Perform Simple Multiplications

   • First, multiply 324 by 1000: This is straightforward; simply append three zeros to 324, resulting in 324000.

   • Next, multiply 324 by 1: This product is simply 324.

4. Step 4: Perform the Final Subtraction

   • Subtract the second result (324) from the first result (324000).

   • Calculation: 324000 - 324 = 323676.