Decomposing Arrays Worksheet

Decomposing Arrays

Read each question carefully and follow the instructions to decompose the arrays and solve the multiplication problems.

1. Draw an array for 5 x 7. Then, decompose it into two smaller arrays and write the corresponding multiplication sentences.

2. Draw an array for 6 x 8. Show how you can decompose it to find the total number of items. Write the equations.

Complete the equations by decomposing the arrays.

3. 7 x 9 = (7 x 5) + (7 x  ) =   +   =  

4. 8 x 6 = (8 x 3) + (8 x  ) =   +   =  

5. 4 x 12 = (4 x 10) + (4 x  ) =   +   =  

6. Which decomposition correctly represents 9 x 7?

7. If you decompose an array of 10 x 5 into (10 x 2) + (10 x 3), what property are you using?

Decide if the following statements are True or False.

8. Decomposing arrays helps break down larger multiplication problems into smaller, easier ones.

9. An array of 6 x 4 can be decomposed into (6 x 2) + (6 x 3).