how can knowing the multiplication properties help you evaluate 5 x ( 20 x 63)
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I don’t know but why is my poop green?
Knowing the multiplication properties can greatly help you evaluate the expression 5 x (20 x 63). Let's break it down step by step:
1. Start by evaluating the expression inside the parentheses, 20 x 63.
To do this, simply multiply 20 by 63: 20 x 63 = 1260.
2. Now that you have the result of 20 x 63, you can substitute it back into the original expression: 5 x 1260.
3. Finally, multiply 5 by 1260 to find the answer: 5 x 1260 = 6300.
Now, let me explain why knowing the multiplication properties was helpful in this process:
1. Associative Property: By applying the associative property of multiplication, we can choose to multiply 20 by 63 first, as long as we remember to keep track of the correct parentheses. This property states that the grouping of numbers being multiplied together does not affect the result. In this case, (20 x 63) is equivalent to (63 x 20). However, it is crucial to note that the Commutative Property of multiplication does not hold true for all numbers, so be careful when swapping the order of multiplication.
2. Identity Property: The identity property of multiplication tells us that multiplying any number by 1 does not change its value. So, if we were to multiply 1 to either 20 or 63 before performing the multiplication, it would not affect the final result. However, in this case, we did not need to apply the identity property since we directly multiplied 20 and 63.
In summary, by understanding and utilizing the multiplication properties, such as the Associative Property and Identity Property, we can simplify and evaluate complex multiplication expressions more efficiently.
6300
It helps you by knowing that you can switch the numbers around to help make the problem easier. Instead of doing 20x63, make it easy and do 20x5 and then do the answer to 20x5 and multiply it by 63.
How can knowing the multiplication properties help you evaluate 5 × (20 × 63)
6300
Properties will help you make the problem easier instead of the hard way...
By the Associative Property of Multiplication
5x(20x63)
= (5x20)x63
= 100x63
= 6300