Basic Distributive Property

Before You Begin: Review the Distributive Property instructional video. 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 Complete example: 97 × 4 = (90 × 4) + (7 × 4) = 360 + 28 = 38890+7 360 28 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. 19 × 2 = (10 × 2 + (9 × 2) = 20 + 18 = 38 3. 23 × 9 = (20 × 9) + (3 × 9) = 180 + 27 = 207 4. 46 × 9 = (40 × 9) + (6 × 9) = 360 + 54 = 414 5. 15 × 2 = (10 × 2) + (5 × 2) = 20 + 10 = 30 6. 95 × 9 = (90 × 9) + (5 × 9) = 810 + 45 = 855 8. 64 × 4 = (60 × 4) + (4 × 4) = 240 + 16 = 256