Practice Identity Elements in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Special numbers that leave any other number unchanged under a given operation: 0 for addition, 1 for multiplication.
Adding 0 leaves any number unchanged; multiplying by 1 also leaves it unchanged. Both are 'do-nothing' values.
Example 1
easyShow that adding 0 to any number doesn't change it. Verify with \(14 + 0\) and \(0 + 14\).
Example 2
mediumShow that multiplying any number by 1 doesn't change it. Use \(23 \times 1\) and \(1 \times 23\). Also show what happens with \(23 \times 0\).
Example 3
easyWhat is \(387 + 0\)? What property does this demonstrate?
Example 4
mediumFill in the blank and name the property: \(456 \times \square = 456\) and \(456 \times \square = 0\).