Partial products (distributive property)
Name: _____________________ Date: __________
Show your thinking with numbers, words, or a drawing.
1. 7 × 45 = 7 × 40 + 7 × 5 = ?
2. 9 × 64 = 9 × 60 + 9 × 4 = ?
3. 9 × 47 = 9 × 40 + 9 × 7 = ?
4. 6 × 87 = 6 × 80 + 6 × 7 = ?
5. 3 × 38 = 3 × 30 + 3 × 8 = ?
Answer key · Partial products (distributive property)
1. 315
Split 45 into 40 + 5.
7 × 40 = 280 and 7 × 5 = 35.
280 + 35 = 315.
2. 576
Split 64 into 60 + 4.
9 × 60 = 540 and 9 × 4 = 36.
540 + 36 = 576.
3. 423
Split 47 into 40 + 7.
9 × 40 = 360 and 9 × 7 = 63.
360 + 63 = 423.
4. 522
Split 87 into 80 + 7.
6 × 80 = 480 and 6 × 7 = 42.
480 + 42 = 522.
5. 114
Split 38 into 30 + 8.
3 × 30 = 90 and 3 × 8 = 24.
90 + 24 = 114.
Try it together
Choose a question from the printable. Use objects or a drawing to show your thinking, then explain your method to someone at home.