QuestionYour friend multiplied and first in . What property is this and why?
Studdy Solution
STEP 1
Assumptions1. The multiplication operation is associative, meaning the way in which the numbers are grouped does not change the result. . The numbers involved in the operation are20,15, and14.
STEP 2
First, let's write down the operation your friend performed.
STEP 3
Your friend first multiplied20 and15, and then multiplied the result by14. This can be written as
STEP 4
The property used here is the associative property of multiplication. This property states that the way in which numbers are grouped in a multiplication operation does not change the result. In other words, for any numbers a, b, and c
STEP 5
In this case, your friend grouped20 and15 together first, and then multiplied the result by14. According to the associative property, this should give the same result as if you had grouped15 and14 together first, and then multiplied the result by20So, the property used by your friend is the associative property of multiplication. This property is useful because it allows us to change the grouping of numbers in a multiplication operation without changing the result, which can sometimes make the calculation easier.
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