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Invisibility, possibly!

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15y ago

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Which of the following sets of numbers contains multiplicative inverses for all its nonzero elements?

Please don't write "the following" if you don't provide a list. This is the situation for some common number sets:* Whole numbers / integers do NOT have this property. * Rational numbers DO have this property. * Real numbers DO have this property. * Complex numbers DO have this property. * The set of non-negative rational numbers, as well as the set of non-negative real numbers, DO have this property.


What property of real numbers guarantees that the second equation is equivalent to the first?

1


Which equation illustrates the multiplicative property of zero for real numbers?

a * 0=0


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A nuclear equation is balanced when the sum of atomic numbers and mass numbers on each side of the equation is the same.


Why can associative property be useful?

The associative property in algebra is important for organization of numbers. Rearranging the numbers and parenthesis will not change values but instead make the equation more convenient.


The rules of algebra used to transform equations into equivalent equations?

multiply the entire equation by a numberdivide the entire equation by a numberadd numbers to both sides of the equationsubtract numbers from both sides of the equationuse the commutative property to rearrange the equationuse the associative property to rearrange the equationfactor a number out of a portion of the equation


Which property states that the orderof numbers in multiplication does not matter?

The property that states the order of numbers in multiplication does not matter is called the Commutative Property of Multiplication. This property indicates that for any two numbers ( a ) and ( b ), the equation ( a \times b = b \times a ) holds true. This means that the product remains the same regardless of how the numbers are arranged.


What property of real numbers is illustrated by this equation two thirds times 3-2 equals 1?

The property of reciprocals as multiplicative inverses.


How can you show that two numbers are proportional in a equation?

To show that two numbers are proportional in an equation, you can demonstrate that their ratio remains constant. This can be done by rearranging the equation to express one number as a multiple of the other, or by showing that the cross-products of the ratios are equal. For example, if you have two pairs of numbers (a) and (b), and (c) and (d), you can verify proportionality by confirming that (a/b = c/d). If this equality holds, the numbers are proportional.


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The commutative property of multiplication states that the order in which two numbers are multiplied does not affect the product. For example, (a \times b = b \times a). This property holds true for all real numbers, meaning that regardless of how the numbers are arranged in a multiplication equation, the result will remain the same.