Question

Can someone please help these are due tomorrow and i don’t understand them!!!! 1-12 please?

Answer 1

1. w = 0

2. x = 1

3. r = 15

4. a = 0

5. Multiplicative identity of zero

6. Multiplicative identity of 1

7. Multiplicative identity of 1

8. Reflexive property of equality

9. Additive identity property of 0

10. Symmetric property of equality

11. Substitution property of equality

12. Transitive property of equality

Explanation:

1.
`w (34) = 0`

w = 0 / 34

w = 0 (since anything divided by 0 is 0)

2.
`7` ·
`x = 7`

7x = 7

x = 7 / 7

x = 1

3.
`0 + r = 15`

r = 15 - 0

r = 15

4.
`9 (0) = a`

Anything multiplied with 0 becomes 0 so

0 = a

a = 0

5.
`(0) 3 = 0` ---> Multiplicative identity of 0

Any number multiplied by 0 becomes 0.

6.
`10` ·
`1 = 10` ---> Multiplicative identity of 1

Any number multiplied by 1 remains unchanged.

7.
`1 (52) = 52` ---> Multiplicative identity of 1

Any number multiplied by 1 remains unchanged.

8.
`12 + 5 = 12 + 5` ---> Reflexive property of equality

The values are equal to itself.

9.
`17 + 0 = 17` ---> Additive identity property of 0

Sum of 0 and any number is the original number.

10. If
`6 + 7 = 13`, then
`13 = 6 + 7` ---> Symmetric property of equality

If a = b then b = a.

11.
`(60 - 20) - 10 = 40 - 10` ---> Substitution property of equality

If x = y then x can be substituted in for y in any equation and vice versa.

12. If
`2^(3) = 8` and
`8 = 10 - 2`, then
`2^(3) = 10 - 2` ---> Transitive property of equality

If a =b and b = c, then a = c.

Answer 2

ANSWER TO QUESTION 1

`w(34)=0`

We multiply both sides by the multiplicative inverse of 34

`w(34)* (1)/(34) =0 * (1)/(34)`

We apply the multiplicative property of zero to obtain,

`w =0`

ANSWER TO QUESTION 2

The dot means multiplication

`7* x=7`

By multiplicative inverse property,

`(1)/(7)*7x=(1)/(7) *7`

`1 * x=1`

By the multiplicative identity property,

`x=1`

ANSWER TO QUESTION 3

`0+r=15`

By the additive identity property

`r=15`

ANSWER TO QUESTION 4

`9(0)=a`

By the multiplicative property of zero

`0)=a`

or

`a=0`

ANSWER TO QUESTIONS NUMBER

5. Multiplicative property of zero

Reason: According to this property if you multiply any number by zero, the result is zero.

That is why

`(0)3=0`

6. Multiplicative identity property

Reason: According to this property if we multiply any number by 1 the result is the same number. That is why

`10* 1=10`

7. Multiplicative identity property

Reason: According to this property if we multiply any number by 1 the result is the same number. That is why

`(1)* 52=52`

8. Reflexive property of equality

According to this property for any number
`a`,

`a=a`

That is why

`12+5=12+5`

9.Additive identity Property

According to this property, if we add any number to zero, the result is the same number. That is why

`17+0=17`

10. Symmetric Property of Equality

According to this property, if
`a=b` then
`b=a`. That is why,

if
`6+7=13` then
`13=6+7`

11. Substitution Property of Equality

According to this property,

If if
`a=b` then we can substitute a and for b in any expression that is why,

`(60-20)-10=40-10` because
`40=60-20`

12. The Transitive Property of Equality

According to this property is ,if
`a=b` and
`b=c`

then
`a=c`. That is why,

If
`2^3=8` and
`8=10-2`

then
`2^3=10-2`