Properties of Real Numbers

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8 Terms

1
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what are real numbers

real numbers are numbers that can be found on the number line including rational and irrational numbers

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explain commutative property

the number in which you add or multiply numbers does not change the answer

<p>the number in which you add or multiply numbers does not change the answer </p>
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explain associative property

the way in which numbers are grouped when adding or multiplying does not change the sum or product.

<p>the way in which numbers are grouped when adding or multiplying does not change the sum or product. </p>
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explain distributive property

Multiply everything inside the parentheses.

<p>Multiply everything inside the parentheses.</p>
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<p>Identity Property: Additive Identity and Multiplicative Identity </p>

Identity Property: Additive Identity and Multiplicative Identity

adding zero to a number does not change its value and multiplicative identity is when multiplying a number by one does not change its value.

<p>adding zero to a number does not change its value and multiplicative identity is when multiplying a number by one does not change its value. </p>
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Inverse Property: Additive Inverse

Every number (except zero in the case of multiplication) has an “undo” element.For addition, the additive inverse of a number is its negative, which when added to the original number, results in zero. For multiplication, the multiplicative inverse of a number is its reciprocal, which when multiplied by the original number, results in one.

<p>Every number (except zero in the case of multiplication) has an <strong>“undo”</strong> element.For addition, the additive inverse of a number is its negative, which when added to the original number, results in zero. For multiplication, the multiplicative inverse of a number is its reciprocal, which when multiplied by the original number, results in one. </p>
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zero property of multiplication

anything multiplied by zero is zero

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role of zero in fractions

  • Division by zero is undefined.
    You cannot compute 1/0— it has no meaning in the real number system. While 0/1 would be zero