Multiply numbers ending in zeroes

key notes:

  1. Recognize Patterns:
    • When multiplying numbers ending in zeroes, focus on the non-zero parts of the numbers and then add the zeroes back in the final result.
  2. Use Simplification:
    • Remove Zeroes Temporarily: Multiply the non-zero parts of the numbers first.
    • Reintroduce Zeroes: Add the zeroes back to the end of the result.
  3. Steps for Multiplication:
    1. Identify and Count Zeroes:
      • Count the number of zeroes in each number.
      • Example: For 300 and 40, there are two zeroes in 300 and one zero in 40.
    2. Multiply the Non-Zero Parts:
      • Focus on the significant digits.
      • Example: Multiply 3 (from 300) by 4 (from 40), which equals 12.
    3. Reintroduce the Zeroes:
      • Combine the number of zeroes from both original numbers.
      • Example: 300 (2 zeroes) × 40 (1 zero) results in 12 with 3 zeroes.
  4. Write the Final Answer:
    • Place the total number of zeroes in the correct position.
    • Example: 300 × 40 = 12000.

Example Problem:

Problem: Multiply 500 by 60.

Solution Steps:

  1. Identify and Count Zeroes:
    • 500 has 2 zeroes.
    • 60 has 1 zero.
  2. Multiply the Non-Zero Parts:
    • Non-zero parts: 5 and 6.
    • 5×6=30.
  3. Reintroduce the Zeroes:
    • Total zeroes: 2 (from 500) + 1 (from 60) = 3 zeroes.
  4. Write the Final Answer:
    • Combine the product with the zeroes: 30 with 3 zeroes = 30000.

Final Answer: 500 × 60 = 30000.

Additional Tips:

TYPE-1

Multiplying by a Number Ending in Zeros

Problem: 4,000×6

Steps:

  1. Ignore the zeros in 4,000 and multiply the non-zero parts: 4×6=24
  2. Count the zeros in 4,000 (which has 3 zeros).
  3. Add the zeros to the product: 24,000

Answer: 4,000×6=24,000

TYPE-II

Multiplying Two Numbers Both Ending in Zeros

Problem: 50×8,000

Steps:

  1. Ignore the zeros and multiply the non-zero parts: 5×8=40
  2. Count the zeros:
    • 50 has 1 zero.
    • 8,000 has 3 zeros.
    • Total zeros to add = 1 + 3 = 4 zeros.
  3. Add the zeros to the product: 40,0000 ⇒ 400,000

Answer: 50 × 8,000 = 400,000

 To wrap up, I’ll leave you guys with another example:

200 x 3,000

2 x 3 = 6. We have to add 2 zeros from the 200 and 3 zeros from the 3000. In total, we’ll have to add 5 zeros.

so, 200 x 3,000 = 6,00,000

Learn with an example

🔔 Multiply:

80 × 300 = ?

  • 24
  • 2,400,000
  • 24,000
  • 240,000
  • First, multiply 8 and 3.
  • 8 × 3 = 24
  • Now count the zeroes in both numbers.
  • 80 × 300 = ?
  • There are 3 zeroes in all. Write 3 zeroes after 24.
  • 80 × 300 = 24,000

🔔 Multiply:

9 × 40,000 = ?

  • 280,000
  • 320,000
  • 360,000
  • 400,000
  • First, multiply the non-zero parts of the numbers:
  • 9 × 4 = 36
  • Now add back the zeroes at the end:
  • 360,000

🗼 Multiply: 60 × 30 = 

  • First, multiply 6 and 3.
  • 6 × 3 = 18
  • Now count the zeroes in both numbers.
  • 60 × 30 = ?
  • There are 2 zeroes in all. Write 2 zeroes after 18.
  • 60 × 30 = 1,800

Let’s practice!🖊️