What property can I use to simplify these expressions?
8 * 2 + 3
10 * 3 - 4
by properties I mean Associative, Commutative, Distributive etc.
To simplify the expressions 8 * 2 + 3 and 10 * 3 - 4, you can use the properties of arithmetic operations. Let's go through each expression one by one and see which property can be applied.
1. 8 * 2 + 3
In this expression, the multiplication operation is performed first, followed by addition. The property that can be used here is the Distributive Property, which states that multiplication can be distributed over addition.
To apply the Distributive Property, multiply 8 by 2, and then add the result to 3:
8 * 2 + 3 = 16 + 3 = 19
Therefore, the simplified expression is 19.
2. 10 * 3 - 4
In this expression, the multiplication operation is performed first, followed by subtraction. Similar to the previous expression, the Distributive Property can be used here as well.
To apply the Distributive Property, multiply 10 by 3, and then subtract 4 from the result:
10 * 3 - 4 = 30 - 4 = 26
Therefore, the simplified expression is 26.
In summary, the properties used to simplify the expressions were the Distributive Property in both cases.