### Introduction

The distributive property of multiplication over addition equates a product with a sum. By writing a sum that is more convenient than the product, we can use the distributive property as a strategy for mental multiplication.

**Step by step** | Multiplication by the distributive property

- Rewrite the product as an equivalent sum.
- Multiply each term in the sum.
- Add the terms to find the original product.

**Example** | Multiplication by the distributive property

**Q:** 12 × 23

**A:** *The product of 12 and 23 is easier as the sum 12×20 + 12×3:
12 × 20 = 240
12 × 3 = 36
12 × 23 = 240 + 36 = 276.*