Question

What property is shown by the equation?

1. 0 ÷ (–6) = 0 A.
Reciprocal Property of Multiplication
b. Identity Property of Division
c.


Division into Zero Property
d.Identity Property of Multiplication
e.Negative One Property of Multiplication
2.


(–1) • (–9) = 9

A.


Reciprocal Property of Multiplication
B.


Identity Property of Division
C.


Division into Zero Property
D.


Identity Property of Multiplication
E.


Negative One Property of Multiplication
3.


1 • (–18) = –18
a. Reciprocal Property of Multiplication
b.Identity Property of Division
c.


Division into Zero Property
d.


Identity Property of Multiplication
e


Negative One Property of Multiplication
4. -23/1=-23 a.Reciprocal Property of Multiplication
b.Identity Property of Division
c.Division into Zero Property
d.


Identity Property of Multiplication
e.Negative One Property of Multiplication

Answer 1

The first equation demonstrates the Division into Zero Property, the second equation exemplifies the Identity Property of Multiplication, the third equation also illustrates the Identity Property of Multiplication, and the fourth equation displays the Identity Property of Division.

Step-by-step explanation:

The property shown by the equation 0 ÷ (–6) = 0 is the Division into Zero Property. When any number is divided by zero, the result is always zero. In this case, when zero is divided by any non-zero number, the result is also zero.

The property shown by the equation (–1) • (–9) = 9 is the Identity Property of Multiplication. This property states that when a number is multiplied by its reciprocal or inverse, the result is always 1. Here, the reciprocal of -1 is 1, so when -1 is multiplied by -9, it equals 9.

The property shown by the equation 1 • (–18) = –18 is the Identity Property of Multiplication. This property states that any number multiplied by 1 remains unchanged. So, when 1 is multiplied by -18, the result is -18.

The property shown by the equation -23/1=-23 is the Identity Property of Division. This property states that any number divided by 1 remains unchanged. So, when -23 is divided by 1, the result is -23.

Answer 2

1) The Zero Property of Division states that 0/x = 0. (not to be confused with the Division into Zero property, where x/0 = undefined...since it's not an option, I'd probably go with b. Identity Property of Division because it's similar and maybe the person who made the questions included the one inside the other)

2) e. The -1 Property of Multiplication states that -1x = -x.

3) e. The Identity Property of Multiplication states that 1x = x.

4) b. The Identity Property of Division states that x/1 = x.