Arithmetic properties: Identity property

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Showing that $a + 0 = a$
Why is it called the "identity" property?
Showing that a × 1 = a
The general formulas for the identity property
The three properties of zero involving multiplication and division (a × 0 = 0; 0 ÷ a = 0; and a ÷ 0 = undefined)
The general formulas for the properties of zero

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Additive identity property of 0
Use the additive identity of 0 to fill in the blanks.
1. 287 + __ = 287
2. __ + 0 = 0.39
3. 0 + __ = $\large \frac{517}{1000}$
Multiplicative identity property of 1
Use the multiplicative identity of 1 to fill in the blanks.
1. 657 × __ = 657
2. 1 × __ = 8.914
3. __ × $\large \frac{832}{900}$ = $\large \frac{832}{900}$
Multiplying and dividing using properties of 0
Use the properties of 0 to fill in the blanks.
1. $\large \frac{13}{25}$ × 0 = __
2. __ × 1 = 0
3. 0 ÷ 25 = __
4. 35 ÷ __ = undefined
5. 7.6 × 0 = __
6. 439 ÷ 0 = __
Identity properties and all four operations
What happens to the identity of number 46 when:
1. 46 + 0 =
2. 46 - 0 =
3. 46 × 0 =
4. 46 × 1 =
5. 46 ÷ 1 =
6. 46 ÷ 0 =
7. 0 ÷ 46 =
Identity properties word problem
If $a$ $a$ , $b$ $b$ and $c$ $c$ are real numbers with secret identities:
1. What happens to a when it is added to 0
2. What happens to b when it is multiplied with 1
3. What happens to c when it is multiplied with 0
4. What happens to a when it is divided by 0