Basic Distributive Property

Master the distributive property! Learn expanded form and partial products for easier multiplication.

STEPS: 86 x 4 =1) 80+6 Write the largest factor (86) in expanded form.2)Multiply both values from the expanded form (80+6) by the other factor (4) using parenthesis for each multiplication86 x 4 = (80 x 4) + (6 x 4) =3) Multiply the problems in parenthesis and make an addition problem with them, keeping them in the same order as the problems.86 x 4 = (80 x 4) + (6 x 4) = 320 + 24 =4) 320 and 24 are called partial products. Now add the two partial products together for your product.86 x 4 = (80 x 4) + (6 x 4) = 320 + 24 = 344 Directions: Work each of the following problems out on paper. Then complete the distributive properties by filling in the blanks with the correct numbers. 1. 72 × 7 = (70 × 7) + (2 × 7) = 490 + 14 = 504 2. 23 × 9 = (20 × 9) + (3 × 9) = 180 + 27 = 207 3. 46 × 9 = (40 × 9) + (6 × 9) = 360 + 54 = 414 4. 43 × 9 = (40 × 9) + (3 × 9) = 360 + 27 = 387 5. 74 × 5 = (70 × 5) + (4× 5) = 350 + 20 = 370