Short Answer
To multiply 56 by 362 using the Half-Tens method, first double 56 to get 112, then multiply 112 by 362 to yield 40544. Finally, divide 40544 by 2 to obtain the result of 20272.
Step 1: Double the First Number
Begin by doubling the two-digit number you want to multiply, which in this case is 56. Perform the calculation:
- 56 √ó 2 = 112
This step prepares us for the next multiplication involving the three-digit number.
Step 2: Multiply the Doubled Number with the Second Number
Now, take the result from the first step (112) and multiply it by the three-digit number (362). Execute the multiplication:
- 112 √ó 362 = 40544
This step will help us get the product needed before the final adjustment.
Step 3: Divide by 2 for the Final Result
The last step is to take the product from the previous multiplication (40544) and divide it by 2. This gives you the final
- 40544 √∑ 2 = 20272
Therefore, using the Half-Tens method, we find that 56 √ó 362 equals 20272, confirming the result.