Short Answer 
To multiply 1756 by 75, align the numbers and multiply each digit of 75 by 1756, starting from the right. Then, add the results according to their place values to arrive at the final product of 131700.
Step 1: Align the Numbers
Start by writing down the two numbers you wish to multiply, 1756 and 75. Place the larger number, 1756, on top, and the smaller number, 75, directly underneath it. Ensure that the digits are aligned according to their respective places: units, tens, and so on.
Step 2: Multiply Each Digit
Now, begin the multiplication process by taking each digit of the lower number (75) and multiplying it with the entire upper number (1756). Start from the rightmost digit of 75 (which is 5) and proceed to the left. Take note to shift the starting position one place to the left with each subsequent digit.
- 5 x 1756 = 8780
- 7 x 1756 = 12392 (shift one place to the left)
Step 3: Add the Results
After calculating the products from each digit of the lower number, write them below the multiplication results aligned according to their place value. Finally, sum all the results to achieve the final product. This way, you will find the total:
- First result: 8780
- Second result (shifted): 12392 (14000 + 1756 x 70, adjusted)
The complete addition gives you the final product of 131700, which is obtained by summing all relevant rows of products.