How can you use an array to find partial products for 4 times 36
To use an array to find partial products for 4 times 36, you can follow these steps:
1. Create a two-dimensional array with three rows and two columns. This is because there are three partial products when multiplying 4 by 36.
2. Write the multiplicand (4) along the top row of the array, and the multiplier (36) along the left column of the array.
3. Multiply each digit from the multiplicand by each digit from the multiplier, and write the result in the corresponding cell of the array.
- In this case, multiply 4 by 6 and write the result (24) in the first cell.
- Then, multiply 4 by 3 and write the result (12) in the second cell.
4. Repeat the above step for the remaining digits.
- Multiply 0 by 6 and write the result (0) in the third cell.
- Multiply 0 by 3 and write the result (0) in the fourth cell.
- Finally, multiply 0 by 0 and write the result (0) in the last cell.
5. Add up the numbers in each column to get the partial products.
- The first column gives you 24 + 0 + 0 = 24.
- The second column gives you 12 + 0 + 0 = 12.
6. Sum up the partial products to get the final result.
- 24 + 12 = 36.
Therefore, the array method shows that 4 times 36 equals 144.