Partial products are a method of finding the product of two numbers by breaking them into parts, multiplying the parts separately, and then adding them together. This method is used to multiply larger numbers and is simpler than traditional long digit multiplication. The partial product method involves multiplying each digit of a number with each digit of another number, with each digit remaining in its original position. The partial products can be obtained by using place value. The steps for partial product multiplication with one-digit numbers are as follows:

1. Write down the two numbers below each other.
2. Multiply the one digit of the second number with the one digit of the first number. Write down the product.
3. Multiply the one digit of the second number with the tens digit of the first number and write down the product below the first product.
4. Multiply the one digit of the second number with the hundreds digit of the first number and write down the product below the second product.
5. Add the partial products to find the final product.

Partial products are a perfect way to learn the multiplication of multi-digit numbers. This step-by-step product allows students to use the concept of place values and multiply the numbers, enhancing number sense.