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Adding \(0\) (zero) and multiplying \(1\) (one) to any whole number will not change the result (or) the sum. This is called the identity property of whole numbers.
Identity property of \(0\) (zero):
Identity property of \(0\) (zero) states that any number added or subtracted with \(0\) (zero) remains the same.
Consider \(a\) is a whole number then:
- \(a + 0 = a\)
- \(a - 0 = a\)
Example:
i) \(10 + 0 = 10\)
ii) \(8 - 0 = 8\)
Identity property of \(1\) (one):
Identity property of \(1\) states that any number multiplied or divided by \(1\) remains the same.
Consider \(a\) is a whole number then:
Example:
i) \( 10 × 1 = 10 \)
ii) \( 10 ÷ 1 = 10 \)
Remember that \(0\) (zero) is called an additive identity, and \(1\) (one) is called as a multiplicative identity.
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