 2 groups of 4 is the same as 4 groups of 2.

# Multiplication Using Arrays

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Multiplication using arrays is a way of organizing the numbers in a visual way in order to understand how repeated addition is the same as multiplication. Using an array to visualize a problem also highlights how the order of the multiplication can be reversed to give the same answer. For example, 2 x 4 gives the same answer as 4 x 2.

Can you do multiplication?

1. 18
12
8
14
3 groups of 4, or 4 + 4 + 4 = 12
2. 6
8
4
3
2 groups of 3, or 3 + 3 = 6
3. 2 + 2 + 2 + 2 + 2
4 x 5
5 + 5 + 5 + 5 + 5
5 x 5
5 x 2 is 5 groups of 2, or 2 + 2 + 2 + 2 + 2
4. 18
9
99
81
3 x 3 = 9. 9 plus 9 = 18
5. 30
13
26
15
5 groups of 3, or 3 + 3 + 3 + 3 + 3 = 15
6. 2 + 5
4 x 5
5 + 5
5 x 5
2 x 5 is 2 groups of 5, or 5 + 5
7. 3 + 3 + 3
6 + 6 + 6
3 x 3
6 x 6
3 x 6 is the same as 3 groups of 6, or 6 + 6 + 6
8. 72
12
27
14
2 groups of 7, or 7 groups of 2, makes 14
9. 2 + 2
4 x 2
4 + 4 + 4
2 x 2
2 groups of 4 is the same as 4 groups of 2
10. 3 + 3 + 3 + 3 + 3 + 3
6 + 6 + 6 + 6 + 6 + 6
3 x 3
6 x 6
6 x 3 is the same as 6 groups of 3, or 3 + 3 + 3 + 3 + 3 + 3
Author:  Angela Smith