9128 × ____ = 9128
1
Goal: Find the number that goes in the blank.
Step 1: Remember the rule.
Multiplying by 1 does not change a number.
We can write this as:
\( a \times 1 = a \)
Step 2: Apply the rule to our number.
Here, \( a = 9128 \).
So, \( 9128 \times 1 = 9128 \).
Step 3: Decide the blank.
The blank must be \( 1 \) to keep the number the same.
Name of this rule: Multiplicative identity (of 1).
Quick check:
Start with \( 9128 \times 1 \).
Result is \( 9128 \).
It matches the right side, so the answer is correct.