Question

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Explanation:

Step1: Identify additive identity property

For $10 + \_\_\_ = 10$, the additive identity is 0, since adding 0 to a number leaves it unchanged.

Step2: Identify associative property of multiplication

For $(10 \times 6) \times 2 = \_\_\_ \times (6 \times 2)$, the associative property states $(a \times b) \times c = a \times (b \times c)$, so the missing value is 10.

Step3: Identify commutative property of addition

For $(8 + 2) + 6 = (2 + \_\_\_) + 6$, the commutative property states $a + b = b + a$, so the missing value is 8.

Step4: Identify commutative property of addition

For $14 + 16 = \_\_\_ + 14$, the commutative property states $a + b = b + a$, so the missing value is 16.

Step5: Identify commutative property of multiplication

For $c \times d = d \times \_\_\_$, the commutative property states $a \times b = b \times a$, so the missing value is $c$.

Step6: Identify associative property of multiplication

For $(q \times r) \times s = q \times (\_\_\_ \times s)$, the associative property states $(a \times b) \times c = a \times (b \times c)$, so the missing value is $r$.

Answer:

1. $0$
2. $10$
3. $8$
4. $16$
5. $c$
6. $r$