Question

evaluate the expression using properties of numbers. name the property used in each step.
$6 \cdot 0.7 \cdot 5$
$= 6 \cdot 5 \cdot 0.7$
$= (6 \cdot 5) \cdot (0.7)$
$= 30 \cdot 0.7$
$= 21$
(there are dropdown menus with options like commutative property (×), associative property (×), substitution for each step)

Explanation:

Step1: Apply Commutative Property (×)

$6 \cdot 0.7 \cdot 5 = 6 \cdot 5 \cdot 0.7$

Step2: Apply Associative Property (×)

$6 \cdot 5 \cdot 0.7 = (6 \cdot 5) \cdot (0.7)$

Step3: Apply Substitution

$(6 \cdot 5) \cdot (0.7) = 30 \cdot 0.7$

Step4: Apply Substitution

$30 \cdot 0.7 = 21$

Answer:

1. For $6 \cdot 0.7 \cdot 5 = 6 \cdot 5 \cdot 0.7$: Commutative Property (×)
2. For $6 \cdot 5 \cdot 0.7 = (6 \cdot 5) \cdot (0.7)$: Associative Property (×)
3. For $(6 \cdot 5) \cdot (0.7) = 30 \cdot 0.7$: Substitution
4. For $30 \cdot 0.7 = 21$: Substitution

Final evaluated value: $21$