How can knowing the multiplication properties help you evaluate 5x(20x63)?
Using the associative property of multiplication
5x(20x63) = (5x20)x63
5*20 is 100,
and then its easy to multiply another number by 100
Knowing the multiplication properties can help you evaluate 5x(20x63) by using the associative property of multiplication, which states that the grouping of numbers being multiplied does not affect the result.
Step 1: First, calculate the product of 20 and 63.
20 x 63 = 1,260
Step 2: Now, substitute the product back into the original expression.
5 x (1,260)
Step 3: Finally, calculate the product.
5 x 1,260 = 6,300
Therefore, the value of 5x(20x63) is 6,300.
Knowing the multiplication properties can be very helpful in evaluating expressions like 5x(20x63). In this case, we can use the associative property of multiplication to rearrange the expression. The associative property states that the grouping of numbers in a multiplication doesn't change the result. So, we can rewrite the expression as (5x20)x63.
Next, we can use the commutative property of multiplication, which states that the order in which numbers are multiplied does not affect the result. Therefore, we can rewrite the expression as (20x5)x63.
Now, we can simplify the expression by performing the multiplication. 20 multiplied by 5 is equal to 100, so the expression becomes 100x63.
Finally, we can multiply 100 by 63 to get the answer. Evaluating the expression, we find that 100x63 equals 6300.
Therefore, knowing the multiplication properties helped us evaluate 5x(20x63) and determine that the answer is 6300.