Which property of the real numbers is illustrated by the following statement? (11+1)+7=11+(1+7)?

Question

A) Commutative property of addition
B) Associative property of addition
c) Distributive property

Answer 1

B is correct.

According to the associative property, it doesn't matter which pair of numbers you add together (or 'associate') first - you still come up with the same answer!

For any real numbers : x, y, and z
( x + y ) + z = x + ( y + z )

Hope that helps! :)

Answer 2

B) The associative property of addition

The Associative property, in general, states that changing the GROUPING of numbers that are either being added or multiplied does NOT change the value of it. Again, the two sides are equivalent to each other.

The Associative Properties of
Addition and Multiplication
a + (b + c) = (a + b) + c and a(bc) = (ab)c

Answer 3

The answer is B

A) Commutative Property of addition basically says that you can move them around within the equation without changing anything.
a+b = b+a

B) Associative Property of addition says that you can group them however you want and it won't change your answer.
(a+b) +c = a + (b+c)

C)Distributive Property is what you use a lot when you factor. It basically says that you can 'distribute' multiplication over addition. If you take it the other way: if two numbers are both multiplied by the same number you can factor out the number that they have in common.
a(b+c) = ab +ac

Answer 4

This is from Glenco " The langauge of Algebra "
Associative Property of Addition
" The way in which three numbers are grouped when they are added does not change their sum .

For any real numbers : a ,b , c

( a + b ) + c = a + ( b + c )

Answer 5

The answer is B. The associative property of addition

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Answer 6

B

Answer 7

B.