HOW COULD YOU USE 5X6=30 TO FIND THE PRODUCT OF 6X6?

Add one more 6 to the product 5x6

To use the equation 5x6=30 to find the product of 6x6, you can consider the concept of multiplication properties and utilize it to solve the problem.

First, let's break down the equation 5x6=30. The number 5 represents the number of sets or groups, and 6 represents the quantity in each set. Thus, when we multiply 5 by 6, we obtain the total quantity, which in this case is 30.

Now, to find the product of 6x6 using this information, we can take advantage of the commutative property of multiplication, which states that the order of the numbers being multiplied does not change the result.

In the given equation, we have 5x6=30. Since multiplication is commutative, we can rearrange the numbers to 6x5=30 without changing the result.

Now, to find 6x6, we can use the associative property of multiplication, which states that the grouping of numbers being multiplied does not change the result.

We can rewrite 6x5 as (6x6)x(1/6) since 5 can be expressed as 6x(1/6), and the associative property allows us to regroup the numbers in any way.

Therefore, we have (6x6)x(1/6)=36x(1/6), where 36 is the product of 6x6.

Since multiplying any number by 1/6 is the same as dividing that number by 6, we get 36/6=6 as the product of 6x6.

To summarize, to find the product of 6x6 using the equation 5x6=30, we utilize the commutative property to rearrange the numbers and the associative property to group them and relate it to the given equation. By dividing 36 by 6, we arrive at the product, which is 6.