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Show that the number in each row multiplied by the number in each column is the number of counters we have in total. Once you have introduced multiplication arrays as repeated addition, you should draw the link between the number of items in each row and each column to form the multiplication sentence. It helps to show examples of arrays in real life to help learn multiplication facts.
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Multiplication arrays also help us to understand multiplication as repeated addition and that the order in which two numbers are multiplied does not affect the size of the answer. They help us to visualise the size of numbers produced in multiplication. Multiplication arrays are used to introduce the concept of multiplication in a visual way. The result is still the same as the total number of counters did not change. This time, we can see that we have 3 lots of 4, whereas in the previous animation we have 4 lots of 3. Here is the same array but grouped to show 3 × 4 instead of 4 × 3. The commutative property of multiplication means that it does not matter in which order the numbers are multiplied, the answer is still the same.
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Multiplication arrays can be used to show the commutative property of multiplication. It does not matter in which order we multiply the rows and columns. The multiplication array represents 4 × 3 = 12. The multiplication array shows 4 lots of 3. There are 4 counters in each row and 3 counters in each column. In a multiplication array, the number of items in each row multiplied by the total number of items in each column gives the total number of items. The number of objects in each row is multiplied by the number of objects in each column to make the total number of objects in the array.įor example, here is the multiplication array showing 4 × 3. Multiplication arrays are rectangular collections of objects that are used to represent multiplication equations. Arrays can also be used to show how the order in which you multiply two numbers does not matter.Multiplication arrays can be used to provide students with a strategy to work out multiplications that they do not know.In this case, we can see that we add a row of 2 each time. Arrays can be used to show how multiplication is the same as repeated addition.Arrays can be used to teach multiplication visually and appreciate the size of the numbers formed in a multiplication.There are 4 lots of 2 in the fourth array, which represents the multiplication of 4 × 2 = 8.There are 3 lots of 2 in the third array, which represents the multiplication of 3 × 2 = 6.There are 2 lots of 2 in the second array, which represents the multiplication of 2 × 2 = 4.There is 1 lot of 2 in the first array, which represents the multiplication of 1 × 2 = 2.There are 2 items in each column so each array here represents a multiple of 2.The multiplication represented is the number of items in each row multiplied by the number of items in each column.The number represented is the total number of items in the rectangular array.
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A multiplication array is a collection of items arranged in rows and columns that represent a number formed from a multiplication of two numbers.