Which property is illustrated by the statement?
(2+3.4)+6=2+(3.4+6)
a. Associative Property of Addition
b. Commutative Property of Multiplication
c. Inverse Property of Multiplication
d. Commutative Property of Addition***
anyone know the test answers?
its A
A or D but I think it's A if you have your math book with look at the back at the glossy or you have to look up the defection
To determine which property is illustrated by the statement, let's break down each option and see if it applies:
a. Associative Property of Addition: This property states that when adding three or more numbers, the grouping of the numbers does not affect the sum.
Example: (a + b) + c = a + (b + c)
In the given statement, the numbers are grouped in both cases — (2 + 3.4) + 6 and 2 + (3.4 + 6) — and the sum remains the same. Therefore, it follows the Associative Property of Addition.
b. Commutative Property of Multiplication: This property states that changing the order of the numbers being multiplied does not affect the product.
Example: a * b = b * a
The given statement involves addition, not multiplication, so the Commutative Property of Multiplication does not apply here.
c. Inverse Property of Multiplication: This property states that the product of a number and its multiplicative inverse is equal to the multiplicative identity (1).
Example: a * (1/a) = 1
The given statement does not involve multiplication or the concept of inverses. thus the Inverse Property of Multiplication does not apply here.
d. Commutative Property of Addition: This property states that changing the order of the numbers being added does not affect the sum.
Example: a + b = b + a
In the given statement, the order of the numbers being added changes in both cases, but the sum remains the same. Therefore, it follows the Commutative Property of Addition.
Therefore, the correct answer is d. Commutative Property of Addition.