How can knowing the multiplication properties help me evaluate 5x(20x63)?
Knowing the multiplication properties can definitely help you evaluate the expression 5x(20x63). To evaluate this expression, you can make use of the commutative and associative properties of multiplication.
First, let's break down the expression step by step:
Step 1: Evaluate the multiplication inside the parentheses.
20x63 = 1,260
Step 2: Multiply the result from step 1 by 5.
5x1,260 = 6,300
Now, let's see how the multiplication properties help us in this evaluation:
1. Commutative Property of Multiplication: This property states that the order of multiplication does not affect the result. In practical terms, it means that you can multiply numbers in any order and still get the same answer. For example, 2x3 is the same as 3x2.
In our expression, we can use the commutative property to multiply 20 by 63 first, or we can multiply 5 by 20 first. The order of multiplication doesn't matter because the result will be the same either way.
2. Associative Property of Multiplication: This property states that the grouping of numbers in a multiplication expression does not affect the result. You can group the numbers in any way you want without changing the answer.
In our expression, we have two sets of parentheses, but we can ignore them because multiplication is associative. We can distribute the multiplication in any way.
In the expression 5x(20x63), we can start by evaluating 20x63, which gives us 1,260. Then we multiply 1,260 by 5 to get the final answer, which is 6,300.
Knowing these properties enables you to understand the flexibility of multiplication and the freedom to choose the order and grouping of numbers without affecting the final outcome.