strategy practice

explain you can multiply 3x24 by using arrays. then give the product.

72

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18×4=

72

what fact can be used by 2*9 and 5*9?

To multiply numbers using arrays, you can create a rectangular array with the number of rows corresponding to the first number and the number of columns corresponding to the second number. Let's see how to multiply 3x24 using arrays:

Step 1: Create the Array
Create a 3x24 array by drawing 3 rows and 24 columns on a piece of paper or mentally visualizing it.

Step 2: Fill in the Array
Start by labeling the rows from top to bottom with the first number, in this case, 3. Then, label the columns from left to right with the second number, which is 24.

Step 3: Fill in the Products
Now, multiply each number in the row by each number in the column, and fill in the corresponding product in the respective cell.

For the first row (labeled as 3), multiply each number in the row by 24.
3 x 24 = 72
Fill in 72 in the first row, first column cell.

For the second row (labeled as 3), also multiply each number by 24.
3 x 24 = 72
Fill in 72 in the second row, first column cell.

For the third row (labeled as 3), multiply each number by 24.
3 x 24 = 72
Fill in 72 in the third row, first column cell.

Step 4: Calculate the Product
To find the final product, add up all the numbers in the cells. Since all the numbers are the same (72), there are a total of 3 cells with that value.

Product: 72 + 72 + 72 = 216

Therefore, 3 x 24 equals 216 when using arrays as a visualization and calculation strategy.