Identity property

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Intros
Lessons
  1. Showing that a+0=aa + 0 = a
  2. Why is it called the "identity" property?
  3. Showing that a × 1 = a
  4. The general formulas for the identity property
  5. The three properties of zero involving multiplication and division (a × 0 = 0; 0 ÷ a = 0; and a ÷ 0 = undefined)
  6. The general formulas for the properties of zero
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Examples
Lessons
  1. 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 + __ = 5171000 \large \frac{517}{1000}
  2. Multiplicative identity property of 1
    Use the multiplicative identity of 1 to fill in the blanks.
    1. 657 × __ = 657
    2. 1 × __ = 8.914
    3. __ × 832900\large \frac{832}{900} = 832900\large \frac{832}{900}
  3. Multiplying and dividing using properties of 0
    Use the properties of 0 to fill in the blanks.
    1. 1325\large \frac{13}{25} × 0 = __
    2. __ × 1 = 0
    3. 0 ÷ 25 = __
    4. 35 ÷ __ = undefined
    5. 7.6 × 0 = __
    6. 439 ÷ 0 = __
  4. 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 =
  5. Identity properties word problem
    If aa, bb and cc 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