Match each statement with the property it illustrates. 1. -9 + 0 = -9 associative property of multiplication 2. (-9)(0) = () identity property of addition 3. (-9)(1) = -9 associative property of addition 4. -1(4 · 9) = (-1 · 4)9 identity property of multiplication 5. -9 + 1 = 1 + (-9) commutative property of multiplication 6. -1 + (4 + 9) = (-1 + 4) + 9 commutative property of addition

1.   -9 + 0 = -9    identity property of addition

2.(-9)(0) = (0)(-9)   commutative property of multiplication

3.(-9)(1) = -9    identity property of multiplication

4.-1(4 · 9) = (-1 · 4)9    associative property of multiplication

5.-9 + 1 = 1 + (-9)    commutative property of addition

6.     -1 + (4 + 9) = (-1 + 4) + 9     associative property of addition

       Statement                           Property          

1. -9 + 0 = -9                         Identity property of addition

2. (-9)(0) = (0)(-9)                 Commutative property of multiplication

3. (-9)(1) = -9                         Identity property of multiplication

4. -1(4 · 9) = (-1 · 4)9             Associative property of multiplication

5. -9 + 1 = 1 + (-9)                 Commutative property of addition

6. -1 + (4 + 9) = (-1 + 4) + 9   Associative property of addition

Step-by-step explanation:

Identity property of addition: If a is a number, then the addition of the number and identity element gives the same number. Identity element of addition is 0.

Commutative property of addition: If a and b are two numbers, then

Associative property of addition: If a, b and c are three numbers, then

Identity property of multiplication: If a is a number, then the product of the number and identity element gives the same number. Identity element of multiplication is 1.

Commutative property of multiplication: If a and b are two numbers, then

Associative property of multiplication: If a, b and c are three numbers, then

       Statement                           Property          

1. -9 + 0 = -9                         Identity property of addition

2. (-9)(0) = (0)(-9)                 Commutative property of multiplication

3. (-9)(1) = -9                         Identity property of multiplication

4. -1(4 · 9) = (-1 · 4)9             Associative property of multiplication

5. -9 + 1 = 1 + (-9)                 Commutative property of addition

6. -1 + (4 + 9) = (-1 + 4) + 9   Associative property of addition

easy peasy

$3 divide by 4 smoothies to give you the price of each individual smoothie

comes out to .75 cents

now 9 times .75 cents equals 6.75 plus .75 cents because she bought a smoothie for herself

comes out to be $7.50