Question

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

1
5
• 5 = 1

√2 (
1
√2
) = 1

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

Answer 1

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 property, 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:

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

Answer 2

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!!!