use an array to explain how you can solve 15 x 6 using facts that you already know
To solve 15 x 6 using facts that you already know, let's use an array representation. An array is a grid or a table that helps us organize and visualize multiplication.
1. First, create an array with 15 rows and 6 columns:
```
1 2 3 4 5 6
7 8 9 10 11 12
13 14 15 16 17 18
19 20 21 22 23 24
25 26 27 28 29 30
31 32 33 34 35 36
37 38 39 40 41 42
43 44 45 46 47 48
49 50 51 52 53 54
55 56 57 58 59 60
61 62 63 64 65 66
67 68 69 70 71 72
73 74 75 76 77 78
79 80 81 82 83 84
85 86 87 88 89 90
```
2. Now, let's count how many squares are filled in the array. Each square represents a product.
Start from the first row and multiply the numbers in each column with 15:
- 1 x 15 = 15
- 2 x 15 = 30
- 3 x 15 = 45
- 4 x 15 = 60
- 5 x 15 = 75
- 6 x 15 = 90
As a result, we have filled in 6 squares in the array by multiplying the numbers in each column with 15. Therefore, 15 x 6 is equal to 90.
Using the array representation and counting the filled squares, we can visually understand and solve multiplication problems based on facts we already know.