Question

which property of multiplication is shown?
1 × 9 = 9
options: commutative, zero, associative, identity

Explanation:

Step1: Recall Multiplication Properties

• Commutative: \(a\times b = b\times a\) (order doesn't matter).
• Zero: \(a\times0 = 0\).
• Associative: \((a\times b)\times c=a\times(b\times c)\) (grouping doesn't matter).
• Identity: \(a\times1 = a\) (multiplying by 1 keeps the number).

Step2: Match the Given Equation

The equation is \(1\times9 = 9\), which fits \(a\times1=a\) (here \(a = 9\)). So it's the identity property.

Answer:

identity (the option: identity)