444 *666

Here is a detailed, step-by-step solution in simple English for a 4th grade.

Problem: 444 × 666

Step 1: Use long multiplication (by parts of the second number)

• Multiply 444 by 6: 444 × 6 = 2,664
• Multiply 444 by 60 (which is 6 × 10): 444 × 60 = 26,640
• Multiply 444 by 600 (which is 6 × 100): 444 × 600 = 266,400

Step 2: Add the results

• 2,664
• • 26,640
• = 29,304
• Then add 266,400: 29,304 + 266,400 = 295,704

Step 3: Quick check with a different method (optional)

• Notice 444 = 4 × 111 and 666 = 6 × 111, so 444 × 666 = (4 × 6) × (111 × 111)
• 4 × 6 = 24 and 111 × 111 = 12,321
• 24 × 12,321 = 12,321 × 24
  • 12,321 × 20 = 246,420
  • 12,321 × 4 = 49,284
  • Add them: 246,420 + 49,284 = 295,704

Answer: 295,704

Notes for vocabulary (helpful for English learners)

• product: the result of multiplying two numbers
• factor: one of the numbers being multiplied
• long multiplication: the step-by-step method of multiplying numbers

If you want, I can show another method or explain any step in more detail.