Question

which equation shows the zero property of multiplication?
(4 × 1) × 9 = 4 × (1 × 9)
0 × 7 = 0
6 × (5 × 9) = (6 × 5) × 9
3 × 9 = 9 + 9 + 9
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Explanation:

The zero property of multiplication states that any number multiplied by zero equals zero. Let's analyze each option:

• The first option \((4 \times 1) \times 9 = 4 \times (1 \times 9)\) shows the associative property of multiplication.
• The second option \(0 \times 7 = 0\) follows the zero property of multiplication as it multiplies 0 with 7 and the result is 0.
• The third option \(6 \times (5 \times 9) = (6 \times 5) \times 9\) shows the associative property of multiplication.
• The fourth option \(3 \times 9 = 9 + 9 + 9\) shows the repeated addition definition of multiplication, not the zero property.

Answer:

B. \(0 \times 7 = 0\) (assuming the options are labeled A, B, C, D with A being \((4 \times 1) \times 9 = 4 \times (1 \times 9)\), B being \(0 \times 7 = 0\), C being \(6 \times (5 \times 9) = (6 \times 5) \times 9\), D being \(3 \times 9 = 9 + 9 + 9\))