It is a product to find a real product in a multiplication problem. It is a part of the real product.
For example
42 × 5
(40+2) × 5
40 × 5 =200
2× 5=10
200+10 = 210
42 × 5=210
200 and 10 are partial product and 210 is real product.

It is a product to find a real product in a multiplication problem. It is a part of the real product.
For example
42 × 5
(40+2) × 5
40 × 5 =200
2× 5=10
200+10 = 210
42 × 5=210
200 and 10 are partial product and 210 is real product.