How to Multiply 1587 by 2386 - Step-by-Step Guide for 11-Year-Old Students

Learn how to multiply the numbers 1587 and 2386 with a clear, step-by-step method that's easy for 11-year-olds to understand.

PDF

Step-by-Step Guide to Multiply 1587 by 2386

Multiplying two large numbers like 1587 and 2386 might seem tricky at first, but if you take it one step at a time, it's much easier! We will use the long multiplication method.

Step 1: Write the numbers in columns

Put 1587 (the first number) on top and 2386 (the second number) underneath it, aligning the digits to the right:

  1587
× 2386

Step 2: Multiply by each digit of the second number starting from the right (ones place)

Multiply 1587 by 6 (the ones digit of 2386):

  • 6 × 7 = 42 → write 2 and carry 4
  • 6 × 8 = 48 + 4 = 52 → write 2 and carry 5
  • 6 × 5 = 30 + 5 = 35 → write 5 and carry 3
  • 6 × 1 = 6 + 3 = 9 → write 9

So, the first row result is 9522.

Step 3: Multiply 1587 by 8 (the tens place digit)

Since this 8 is in the tens place, your result will start with one zero (because it's really 80):

  • 8 × 7 = 56 → write 6, carry 5
  • 8 × 8 = 64 + 5 = 69 → write 9, carry 6
  • 8 × 5 = 40 + 6 = 46 → write 6, carry 4
  • 8 × 1 = 8 + 4 = 12 → write 12

The answer for this step is 126,960 (note the zero added at the end because of the tens place).

Step 4: Multiply 1587 by 3 (the hundreds place digit)

Since this digit is in the hundreds place, the result will have two zeros at the end:

  • 3 × 7 = 21 → write 1, carry 2
  • 3 × 8 = 24 + 2 = 26 → write 6, carry 2
  • 3 × 5 = 15 + 2 = 17 → write 7, carry 1
  • 3 × 1 = 3 + 1 = 4 → write 4

The result here is 476,100 (including two zeros at the end).

Step 5: Multiply 1587 by 2 (the thousands place digit)

Since this digit is in the thousands place, the result will have three zeros at the end:

  • 2 × 7 = 14 → write 4, carry 1
  • 2 × 8 = 16 + 1 = 17 → write 7, carry 1
  • 2 × 5 = 10 + 1 = 11 → write 1, carry 1
  • 2 × 1 = 2 + 1 = 3 → write 3

The result is 3,174,000 (with three zeros at the end).

Step 6: Add all the partial results together

   9,522
 126,960
 476,100
3,174,000
---------
3,786,582

So, 1587 × 2386 = 3,786,582.

Summary

  • Multiply the top number by each digit of the bottom number one at a time, starting from the right.
  • Add zeros depending on the place value (ones, tens, hundreds, thousands) before writing the partial answer.
  • Add all the partial answers to get the final product.

I hope this helps you understand how to multiply large numbers step by step!

Ask a followup question