Question

Renee is simplifying the expression (7) (13/29) (1/7).She recognizes that 7 and 1/7 are reciprocals, so she would like to find their product before she multiplies by 13/29. Which property will allow Renee to do this without changing the value of the expression

Answer 1

Answer:

Multiplicative inverse property.

Step-by-step explanation:

∵ When a real number is multiplied by its inverse then the result is 1 ( multiplicative identity )

Also, for a real number a,

Representation of multiplicative inverse is $\frac{1}{a}$

Now, the multiplicative inverse of 7 = $\frac{1}{7}$

So,

$7\times \frac{1}{7}=1$

Hence, the required property is multiplicative inverse property.

Answer 2

Answer:

There's one important property which states that when a number is multiplied by its reciprocal, equals 1.

The commutative property of multiplication states that two or more numbers can be multiplied in any order, therefore, the expression:  (7)×(13/29)×(1/7) can be changed to  (7)×(1/7)×(13/29) and the result won't be altered.

Now, given that 7 and 1/7 are reciprocals, the result is 1. Therefore, the result of the multiplication equals (13/29)