A partial product is a method of finding the product of two numbers by breaking them into parts, multiplying the parts separately, and adding them together. It is a product obtained by multiplying a multiplicand by one digit of a multiplier having more than one digit. This method is used to multiply larger numbers and is simpler to perform than traditional long digit multiplication as using the place value involves multiplying the values that end in 0, which often results in compatible numbers. 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 steps for partial product multiplication with one-digit numbers are as follows:

• Write down the two numbers below the other.
• Begin by multiplying the one digit of the second number with the one digit of the first number. Write down the product.
• 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.
• Repeat the process for each digit of the second number, adding the partial products to get the final product.

Partial products can be used to multiply two or more numbers.