What is special about the number zero? Think about this as you answer the questions below.  

1. Find each sum:

   $0+3 =$ 

   $-7+0=$

   $0+6=$ 

   $0+\left(-2\right)=$ 

2. What is special about adding zero? Write a sentence that begins, “When you add zero to a number, …”

3. Julia is thinking of two numbers $a$ and $b$. When she adds them together, she gets a sum of $b$. Does that tell you anything about either of Julia’s numbers?

   Hint (c):

   What did you notice about each of the answers in part (a)?

4. Find each product:

   $3\cdot0=$ 

   $\left(-7\right)\cdot0=$ 

   $0\cdot6=$ 

   $0\cdot\left(-2\right)=$ 

5. What is special about multiplying by zero? Write a sentence that begins, “When you multiply a number by zero, …”

   Example Answer (e):

   When you multiply a number by zero, … the result is always $\mathit{0}$.