756 x 852: Multiplying Thousands with Thousands

The Problem Unraveled

The multiplication problem, 756 x 852, presents a challenge in multiplying large numbers with multiple digits. To simplify the process, we will break down the problem into smaller steps.

Step 1: Multiply Ones

Multiply the ones digits (6 and 2):

6 x 2 = 12

Step 2: Multiply Tens and Ones

Multiply the tens digits (5 and 5) by the ones digits:

5 x 2 = 10
5 x 6 = 30

Step 3: Multiply Hundreds and Tens

Multiply the hundreds digits (7 and 8) by the tens digits:

7 x 5 = 35
8 x 5 = 40

Step 4: Multiply Hundreds and Hundreds

Multiply the hundreds digits (7 and 8):

7 x 8 = 56

Step 5: Adding the Products

Add the partial products obtained from steps 1 to 4:

12 (ones)
10 + 30 = 40 (tens)
35 + 40 = 75 (hundreds)
56 (thousands)

The Answer Revealed

Combining the partial products, we get the final answer:

756 x 852 = 642,792

Multiplying Thousands with Thousands: A Step-by-Step Guide

1. Multiply Ones: Multiply the ones digits.
2. Multiply Tens and Ones: Multiply the tens and ones digits by the ones digits.
3. Multiply Hundreds and Tens: Multiply the hundreds and tens digits by the tens digits.
4. Multiply Hundreds and Hundreds: Multiply the hundreds digits.
5. Add Products: Add the partial products to get the final answer.

Applications in the Real World

Beyond the classroom, the ability to multiply thousands with thousands finds practical applications in various fields:

• Finance: Calculating investments, loan payments, and interest rates.
• Statistics: Analyzing data, calculating averages, and estimating populations.
• Science: Conducting experiments, analyzing data, and making predictions.

Tables for Quick Reference

Common Mistakes to Avoid

• Misplacing Zeros: Ensure proper placement of zeros in partial products.
• Incorrect Multiplication: Check that each partial product is calculated accurately.
• Addition Errors: Double-check the addition of partial products.

Additional Tips

• Use a calculator to verify your answer.
• Break larger numbers into smaller ones to simplify the multiplication process.
• Practice regularly to improve your speed and accuracy.