Questions and Answers
What is the definition of the multiplicative inverse property?
What is the additive inverse of a number x?
-x
The sum of a number and its additive inverse is always equal to zero.
True
The product of any real number and ____ is always equal to zero.
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Which property states that multiplying the sum by a number yields the same result as multiplying each addend by the number and then adding the products together?
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The associative property involves changing the order of numbers in an expression.
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Which property allows you to change the order of multiplication and addition?
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Give an example of the additive identity property.
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The multiplicative identity property states that a number which multiplies other numbers without changing their value is?
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Study Notes
Multiplicative Inverse Property
- The multiplicative inverse of a number is its reciprocal.
- Example: 9 x 1 = 9, 10 x 1 = 10.
Additive Inverse Property
- The additive inverse of a number x is -x.
- The sum of a number and its additive inverse is always zero.
- Example pairs: 2 and -2; 5 and -5.
Zero Property of Multiplication
- Multiplying any real number by zero results in zero.
- Example: X x 0 = 0 for any real number X.
- Illustrative cases: 2 x 0 = 0, 0 x 0 = 0.
Multiplicative Identity Property
- The multiplicative identity is the number one, which keeps other numbers unchanged during multiplication.
- Example: 8 x 1 = 8, 9 x 1 = 9.
Additive Identity Property
- The additive identity is the number zero, which keeps other numbers unchanged during addition.
- Example: y + 0 = y, n + 0 = n.
Distributive Property
- Distributing a multiplication over addition yields the same result as multiplying each addend and then summing the products.
- Example: 5 x (5 + 3) = 5 x 5 + 5 x 3.
Associative Property
- The way numbers are grouped in addition or multiplication does not affect the result.
- Example: (6 x 3) x 4 = (4 x 3) x 6.
Commutative Property
- The order of numbers in addition or multiplication does not change the outcome.
- Examples: 8 x 6 = 6 x 8, 6 + 4 = 4 + 6.
Studying That Suits You
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Description
Test your understanding of key mathematical concepts with these flashcards designed for 7th grade. This quiz covers properties like the multiplicative and additive inverse properties, as well as the zero property of multiplication. Perfect for reinforcing your math skills in a fun and interactive way.
