The task is to solve multiplication problems using the distributive property, which involves breaking down one of the numbers into parts (usually tens and ones) and then multiplying each part separately before adding the results.
Here is the solution for each problem:
1. 9 × 97 = 9 × (100 - 3) = (9 × 100) - (9 × 3) = 900 - 27 = 873
2. 8 × 107 = 8 × (100 + 7) = (8 × 100) + (8 × 7) = 800 + 56 = 856
3. 3 × 108 = 3 × (100 + 8) = (3 × 100) + (3 × 8) = 300 + 24 = 324
4. 4 × 93 = 4 × (100 - 7) = (4 × 100) - (4 × 7) = 400 - 28 = 372
5. 5 × 102 = 5 × (100 + 2) = (5 × 100) + (5 × 2) = 500 + 10 = 510
6. 5 × 100 = 500 (This is a straightforward multiplication)
7. 4 × 94 = 4 × (100 - 6) = (4 × 100) - (4 × 6) = 400 - 24 = 376
8. 4 × 106 = 4 × (100 + 6) = (4 × 100) + (4 × 6) = 400 + 24 = 424
9. 7 × 91 = 7 × (100 - 9) = (7 × 100) - (7 × 9) = 700 - 63 = 637
10. 8 × 97 = 8 × (100 - 3) = (8 × 100) - (8 × 3) = 800 - 24 = 776
11. 9 × 105 = 9 × (100 + 5) = (9 × 100) + (9 × 5) = 900 + 45 = 945
12. 4 × 98 = 4 × (100 - 2) = (4 × 100) - (4 × 2) = 400 - 8 = 392
13. 3 × 96 = 3 × (100 - 4) = (3 × 100) - (3 × 4) = 300 - 12 = 288
14. 2 × 106 = 2 × (100 + 6) = (2 × 100) + (2 × 6) = 200 + 12 = 212
15. 4 × 96 = 4 × (100 - 4) = (4 × 100) - (4 × 4) = 400 - 16 = 384
16. 4 × 109 = 4 × (100 + 9) = (4 × 100) + (4 × 9) = 400 + 36 = 436
17. 5 × 103 = 5 × (100 + 3) = (5 × 100) + (5 × 3) = 500 + 15 = 515
18. 8 × 101 = 8 × (100 + 1) = (8 × 100) + (8 × 1) = 800 + 8 = 808
19. 7 × 90 = 7 × (100 - 10) = (7 × 100) - (7 × 10) = 700 - 70 = 630
20. 8 × 102 = 8 × (100 + 2) = (8 × 100) + (8 × 2) = 800 + 16 = 816
Parent Tip: Review the logic above to help your child master the concept of distributive property worksheet 7th grade.
