How can knowing the multiplication properties help
You multiply 5x(2x6)?
I'd multiply 5 times 2 = 10. Then I'd multiply 10 times 6.
so 6times10 equals 60 so then you would add 60 times 10 which you have to figure it out then you bot the answer.
Knowing the multiplication properties can help simplify and make multiplication easier. The multiplication properties that can be applied here are the commutative property and the associative property.
1. Commutative Property: This property states that changing the order of the numbers being multiplied does not affect the result. In other words, a x b = b x a. For example, 5 x (2 x 6) can be rearranged as 5 x (6 x 2).
2. Associative Property: This property states that changing the grouping of the numbers being multiplied does not affect the result. In other words, (a x b) x c = a x (b x c). For example, 5 x (6 x 2) can be rearranged as (5 x 6) x 2.
So, by applying these properties, we can simplify the multiplication as follows:
5 x (2 x 6) becomes 5 x (6 x 2) [commutative property]
= (5 x 6) x 2 [associative property]
Now, we can calculate the simplified expression by multiplying the numbers:
5 x 6 = 30
30 x 2 = 60
Therefore, 5 x (2 x 6) is equal to 60.
Knowing the multiplication properties can be extremely helpful when solving a multiplication problem like 5x(2x6). Understanding these properties allows us to simplify and solve the problem more efficiently.
In this case, we can use the property of associative multiplication. According to this property, when multiplying three or more numbers, it doesn't matter which two numbers we multiply first. This means that we can multiply 2x6 first or 5x2 first, and it won't affect the final result.
To solve 5x(2x6), we can start by multiplying 2x6 first. This will give us the product of those two numbers, which is 12. Hence, the problem becomes 5x12.
Next, we use the property of commutative multiplication, which states that it doesn't matter the order in which we multiply two numbers. Using this property, we can rearrange the expression as 12x5, which gives us 60.
So, by knowing and applying the multiplication properties, we determined that 5x(2x6) is equal to 60.