1. Use the commutative property to show both arrays you can represent using the factors 3 and 5.
3x5=5x3
To use the commutative property, we need to show that the order of multiplication does not affect the result.
Using the factors 3 and 5, we can represent the arrays as follows:
Array 1: 3 rows and 5 columns
Array 2: 5 rows and 3 columns
Now, let's calculate the area of each array:
Array 1: 3 rows x 5 columns = 15
Array 2: 5 rows x 3 columns = 15
As you can see, the area of both arrays is 15, which shows that 3x5 is equal to 5x3, using the commutative property.
To use the commutative property to show both arrays that can be represented using the factors 3 and 5, you need to understand what the commutative property means. The commutative property states that changing the order of the operands does not affect the result of an operation.
In this case, the operation is multiplication and the operands are 3 and 5. So, we have 3 multiplied by 5 and 5 multiplied by 3.
To represent the first array, we can multiply 3 by 5:
3 x 5 = 15
This represents an array of 3 rows and 5 columns.
To represent the second array, we can multiply 5 by 3:
5 x 3 = 15
This also represents an array of 5 rows and 3 columns.
Therefore, using the commutative property, we can show that both arrays can be represented using the factors 3 and 5.
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