Let's match each number sentence with the correct property:
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Commutative Property: \( (-1)(3) = (3)(-1) \)
- This property states that the order of multiplication does not change the product.
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Associative Property: \( (5^ * (-2) 2 5^ * 1 2) = (5^ * -2 2/5)^ * 1 2 \)
- This property refers to the changing of grouping in multiplication without changing the product.
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Commutative Property: \( -4 + (-5) = -5 + (-4) \)
- This property shows that the order of addition does not change the sum.
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Identity Property of Multiplication: \( -1.58 \cdot 1 = -1.58 \)
- This property states that any number multiplied by 1 will remain unchanged.
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Zero Property of Multiplication: \( 0 \cdot 6 = 0 \)
- This property states that any number multiplied by 0 is 0.
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Identity Property of Addition: \( 0 + 12.9 = 12.9 \)
- This property states that any number plus 0 will remain unchanged.
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Commutative Property: \( \frac{5}{6} \cdot (-1) = -\frac{5}{6} \)
- This property does not have a defined label in the options given, thus it's solely an example of multiplication with a negative number.
So the correct matches are:
- \( (-1)(3) = (3)(-1) \) → Commutative Property
- \( (5^ * (-2) 2 5^ * 1 2) = (5^ * -2 2/5)^ * 1 2 \) → Associative Property
- \( -4 + (-5) = -5 + (-4) \) → Commutative Property
- \( -1.58 \cdot 1 = -1.58 \) → Identity Property of Multiplication
- \( 0 \cdot 6 = 0 \) → Zero Property of Multiplication
- \( 0 + 12.9 = 12.9 \) → Identity Property of Addition
- \( \frac{5}{6} \cdot (-1) = -\frac{5}{6} \) → Not defined in options but shows multiplication by a negative number.
If you intended to only use each property once, stick to the first sets of matches.