can someone make a lattice table. i have to multiply 523*73 using lattice multiplication. i know how to do it and have the numbers plugged in but without the table.
Certainly! I can guide you through the process of creating a lattice table to multiply the numbers 523 and 73 using lattice multiplication.
To begin, let's create a lattice table with four rows and six columns. Each cell in the table will represent a product of two digits. The first three rows will be for the digits of 523, and the last row is for the digits of 73.
Here's an example of how the lattice table would look like:
```
5 | 2 | 3
---------------------------------------
x | | |
---------------------------------------
7 | 3 | 0
```
Now, let's fill in the table by multiplying each digit from the second row (73) with each digit from the first row (523), placing the product diagonally across the cells of the table.
First, we multiply 3 with each digit from the first row:
```
5 | 2 | 3
---------------------------------------
x | | 15 | 6
---------------------------------------
7 | 3 | 0
```
Next, we multiply 7 with each digit from the first row:
```
5 | 2 | 3
---------------------------------------
x | | 15 | 6
---------------------------------------
7 | 35 | 0
```
Now, we sum up the products diagonally, row by row, starting from the right side. We write down the individual sums in the last row of the lattice table:
```
5 | 2 | 3
--------------------------------------
x | | 15 | 6
--------------------------------------
7 | 35 | 0
--------------------------------------
0 | 40 | 125 | 105
```
Finally, we add up the numbers in the last row:
0 + 40 + 125 + 105 = 270
So, 523 multiplied by 73 equals 38,279.
Using a lattice table in this way helps to visually organize the multiplication process and makes it easier to keep track of the intermediate steps.