Product
Product
The result of multiplying a set of numbers or expressions.
Key Formula
p=a×b
Where:
- p = The product
- a = First factor
- b = Second factor
Worked Example
Problem: Find the product of 8 and 7.
Step 1: Multiply the two factors together.
8×7=56
Answer: The product of 8 and 7 is 56.
Why It Matters
The word "product" appears constantly in math problems and instructions. When a question says "find the product of 3 and 12," it is asking you to multiply. Recognizing this term is essential for interpreting word problems correctly across arithmetic, algebra, and beyond.
Common Mistakes
Mistake: Confusing "product" with "sum."
Correction: A product is the result of multiplication, while a sum is the result of addition. If a problem asks for the product of 4 and 5, the answer is 20, not 9.
Related Terms
- Expression — Products often appear within expressions
- Factor — Numbers being multiplied to form a product
- Multiply — The operation that produces a product
- Sum — Result of addition, commonly confused with product
- Quotient — Result of division, counterpart to product