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ANSWER TO QUESTION 1


[tex]w(34)=0[/tex]


We multiply both sides by the multiplicative inverse of 34


[tex]w(34)\times \frac{1}{34} =0 \times \frac{1}{34}[/tex]


We apply the multiplicative property of zero to obtain,


[tex]w =0 [/tex]


ANSWER TO QUESTION 2


The dot means multiplication



[tex]7\times x=7[/tex]


By multiplicative inverse property,


[tex]\frac{1}{7}\times7x=\frac{1}{7} \times7[/tex]


[tex]1 \times x=1[/tex]


By the multiplicative identity property,

[tex]x=1[/tex]


ANSWER TO QUESTION 3

[tex]0+r=15[/tex]

By the additive identity property

[tex]r=15[/tex]


ANSWER TO QUESTION 4


[tex]9(0)=a[/tex]

By the multiplicative property of zero

[tex]0)=a[/tex]


or


[tex]a=0[/tex]


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

[tex](0)3=0[/tex]

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

[tex]10\times 1=10[/tex]


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

[tex](1)\times 52=52[/tex]

8. Reflexive property of equality


According to this property for any number [tex]a[/tex],

[tex]a=a[/tex]


That is why

[tex]12+5=12+5[/tex]

9.Additive identity Property

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

[tex]17+0=17[/tex]

10. Symmetric Property of Equality


According to this property, if  [tex]a=b[/tex] then  [tex]b=a[/tex]. That is why,

if  [tex]6+7=13[/tex] then  [tex]13=6+7[/tex]

11. Substitution Property of Equality


According to this property,

If if  [tex]a=b[/tex] then we can substitute a and for b in any expression that is why,

[tex](60-20)-10=40-10[/tex] because  [tex]40=60-20[/tex]


12. The Transitive Property of Equality

According to this property is ,if  [tex]a=b[/tex] and  [tex]b=c[/tex]

then [tex]a=c[/tex]. That is why,


If [tex]2^3=8[/tex] and  [tex]8=10-2[/tex]

then  [tex]2^3=10-2[/tex]


alinakincsem

Answer:

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

Step-by-step explanation:

1. [tex]w (34) = 0[/tex]

w = 0 / 34

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

2. [tex]7[/tex] · [tex]x = 7[/tex]

7x = 7

x = 7 / 7

x = 1

3. [tex]0 + r = 15[/tex]

r = 15 - 0

r = 15

4. [tex]9 (0) = a[/tex]

Anything multiplied with 0 becomes 0 so

0 = a

a = 0

5. [tex](0) 3 = 0[/tex] ---> Multiplicative identity of 0

Any number multiplied by 0 becomes 0.

6. [tex]10[/tex] · [tex]1 = 10[/tex] ---> Multiplicative identity of 1

Any number multiplied by 1 remains unchanged.

7. [tex]1 (52) = 52[/tex] ---> Multiplicative identity of 1

Any number multiplied by 1 remains unchanged.

8. [tex]12 + 5 = 12 + 5[/tex] ---> Reflexive property of equality

The values are equal to itself.

9. [tex]17 + 0 = 17[/tex] ---> Additive identity property of 0

Sum of 0 and any number is the original number.

10. If [tex]6 + 7 = 13[/tex], then [tex]13 = 6 + 7[/tex] ---> Symmetric property of equality

If a = b then b = a.

11. [tex](60 - 20) - 10 = 40 - 10[/tex] ---> Substitution property of equality

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

12. If [tex]2^{3} = 8[/tex] and [tex]8 = 10 - 2[/tex], then [tex]2^{3} = 10 - 2[/tex] ---> Transitive property of equality

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