The Distributive Property of Multiplication
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
using your mental math skills . . . An example: 6 x 13 using your mental math skills . . . symbolically: 6 × (10 + 3) = 6 × 10 + 6 × 3 and pictorially (rectangular array area model): 10 3 6 6 × 10 6 × 3
What about 12 x 23? Mental math skills? (10+2)(20+3) = 10×20 + 10×3 + 2×20 + 2×3 20 3 200 30 40 + 6 276 10 10 × 20 10 × 3 2 2 × 20 2 × 3