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Kisachek [45]
3 years ago
9

The following examples illustrate the inverse property of multiplication. Study the examples, then choose the statement that bes

t describes the property.
1
5
• 5 = 1

√2 (
1
√2
) = 1

Inverse property of multiplication: For all real numbers except , a • = 1.
Mathematics
2 answers:
serg [7]3 years ago
6 0

Answer:

Inverse property of multiplication:  For all real numbers except "0"

a* "1/a" = 1

Step-by-step explanation:

Its kinda complicated to put the answers in, but the answer is in parentheses so it would be a little easier to see what was correct.. hope this is more helpful

This is the correct answer according to edg e2020  Good Luck!!!

Ierofanga [76]3 years ago
3 0

Answer:

\text{Inverse property of multiplication: For all real numbers except }0,\text{ }a\cdot 1/a=1

Explanation:

These are the examples given to illustrate the inverse property of multiplication:

         1/5\cdot 5=1\\\\ \sqrt{2}\cdot (1/\sqrt{2})=1

And you must complete the statement to describe the property.

  • Inverse property of multiplication: For all real numbers except __, a • __ = 1.

In the first example, 1/5 and 5 are reciprocal numbers of each other, also known as multiplicative inverses. And the example is showing that the product of 1/5 and its reciprocal is 1.

In the second example,    \sqrt{2}\text{ and }(1/\sqrt{2})    are reciprocal of each other. Again, the example is showing that the product of those a number at its reciprocal is 1.

That is a general <em>property</em>, that can be written as:

             a\cdot 1/a=1

That property is satisfied by any number except 0, because the reciprocal of    0  , i.e.    1/0    is not defined.

Then, the statemen is:

\text{For all real numbers except }0,\text{ }a\cdot 1/a=1

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Svet_ta [14]

Answer:

\frac{(6q-5)}{(3q+5)}

Step-by-step explanation:

Given: \frac{18q^{2}-45q+25 }{9q^{2}-25 }

Factorizing the numerator and the denominator, we have:

18q^{2} - 45q + 25 = 18q^{2} - 30q - 15q + 25

                         = (3q - 5)(6q - 5)

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So that,

\frac{18q^{2}-45q+25 }{9q^{2}-25 } = \frac{(3q-5)(6q-5)}{(3q-5)(3q+5)}

                 = \frac{(6q-5)}{(3q+5)}

Therefore,

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