Identity Elements Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

medium
Fill in the blank and name the property: \(456 \times \square = 456\) and \(456 \times \square = 0\).

Solution

  1. 1
    \(456 \times 1 = 456\): multiplicative identity (\(a \times 1 = a\)).
  2. 2
    \(456 \times 0 = 0\): zero property of multiplication (\(a \times 0 = 0\)).
  3. 3
    The blanks are 1 and 0.

Answer

\(\square = 1\) (identity) and \(\square = 0\) (zero property)
Multiplying by 1 keeps the number the same; multiplying by 0 always gives 0.

About Identity Elements

Special numbers that leave any other number unchanged under a given operation: 0 for addition, 1 for multiplication.

Learn more about Identity Elements →

More Identity Elements Examples

Example 1 easy

Show that adding 0 to any number doesn't change it. Verify with (14 + 0) and (0 + 14).

Example 2 medium

Show that multiplying any number by 1 doesn't change it. Use (23 times 1) and (1 times 23). Also sho

Example 3 easy

What is (387 + 0)? What property does this demonstrate?

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