1. The Distributive Property of Multiplication

2. Recall the distributive property of multiplication over addition . . .
symbolically:
a × (b + c) = a × b + a × c
and pictorially (rectangular array area model): b c a
a × b
a × c

3. using your mental math skills . . .
An example: 6 x 13
using your mental math skills . . .
symbolically:
6 × (10 + 3) = 6 × × 3
and pictorially (rectangular array area model): 10 3 6
6 × 10
6 × 3

4. What about 12 x 23? Mental math skills?
(10+2)(20+3) = 10× ×3 + 2×20 + 2×3 20 3
200 30 40
+ 6
276 10
10 × 20
10 × 3 2
2 × 20
2 × 3