Multiply using Lattice Multiplication 23 x 45
379 x 24
379 x 450
Multiply by using the Russian Peasant Method
27 x 79
38 x 126
These sites will help you.
http://www.coolmath4kids.com/times-tables/times-tables-lesson-lattice-multiplication-1.html
http://www.youtube.com/watch?v=cijuPxHgZAA
http://www.basic-mathematics.com/russian-peasant-multiplication.html
http://www.youtube.com/watch?v=L6wYOpjgDZw
473 x16 in lattice
Sure! I can explain how to solve these multiplication problems using different methods.
1. Lattice Multiplication:
To perform lattice multiplication, you need to create a lattice grid. Let's take the first problem, 23 multiplied by 45, as an example:
| 2 | 3 |
| - - |
| 4 | 5 |
Start by multiplying the digits in the rightmost column (3 and 5): 3 x 5 = 15. Write the result in the corresponding box in the lower-right quadrant of the lattice:
| 2 | 3 |
| - - |
| 4 | 5 |
| - 1 | 5 |
Next, multiply the digits in the leftmost column (2 and 4): 2 x 4 = 8. Write the result in the upper-left quadrant of the lattice:
| 2 | 3 |
| - - |
| 4 | 5 |
| 8 | 1 | 5 |
Now, multiply the digit in the upper-left quadrant by the digit in the lower-right quadrant (2 x 5 = 10) and write the result in the upper-right quadrant:
| 2 | 3 |
| - - |
| 4 | 5 |
| 8 | 1 | 5 |
| - 1 | 0 |
Finally, add up the numbers along the diagonal lines of the lattice:
| 2 | 3 |
| - - |
| 4 | 5 |
| 8 | 1 | 5 |
| - 1 | 0 |
| 1 | 0 | |
The answer to 23 x 45 is 1,035.
You can follow the same steps to solve the other lattice multiplication problems you mentioned, such as 379 x 24 and 379 x 450.
2. Russian Peasant Method:
The Russian Peasant Method involves halving one number and doubling the other until the halved number reaches 1. Let's solve 27 x 79 using this method:
Start with the numbers 27 and 79. Write them down and start halving the first number and doubling the second number until the halved number reaches 1:
27 79
13 158
6 316
3 632
1 1264
Now, sum up the values of the second column where the corresponding number in the first column is odd:
79 + 316 + 1264 = 1659
Therefore, 27 x 79 equals 1659.
Similarly, you can apply the Russian Peasant Method to solve the other multiplication problem, 38 x 126.
I hope this helps! Let me know if you have any further questions.