Question

QUESTION 4

Answer 1

Complete Question Statement:

QUESTION 4

Select the equation in which you use the zero property of multiplication to find the solution.

A.) (20 x 1/20) - 7 = -6

B.) (4/7 X 7/4) - 8 = -7

C.) (- 1/6 x 0) + 8 = 8

D.) [7 x (6/7 - 5/7)] + 4 = 5

Answer:

Option C i.e. C.) (- 1/6 x 0) + 8 = 8  is the correct option in which you use the zero property of multiplication to find the solution.

Step-by-Step Explanation:

The multiplication property is said to be the property which states that the result of any product number would be zero, if any number of the product is multiplied with zero.

For example, if you multiply 4 with zero, you answer will be zero.

i.e. 4 x 0 = 0

Whatever the number you have, the result will be always be zero if you multiply it with zero.

Out of all the given options, only option C a clear answer as it involves the zero multiplied with - 1/6.

So, the product of 0 and - 1/6 would be zero  i.e. 0 x - 1/6 = 0

As - 1/6 x 0 = 0, hence, the complete equation would be computed as:

       (- 1/6 x 0) + 8 = 8

                    0 + 8 = 8            ∵ - 1/6 x 0 = 0

                           8 = 8

So, the equation becomes true when substitute - 1/6 x 0 = 0 in it.

Therefore, Option C i.e. C.) (- 1/6 x 0) + 8 = 8  is the correct option in which you use the zero property of multiplication to find the solution.

Keywords: zero property of multiplication , solution, equation

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Answer 2

(2x-1)(x+4)=0

Step-by-step explanation:

A random zero property of multiplication is taken to find the solution

(2x-1)(x+4)=0

consider a=2x-1 and b=x-4                                      a.b=0

                                                                           either a or b or both must be 0

equating both the equations

2x-1=0 or x=4=0        x-4=0

2x-1=0                         x=4  

2x=1

x=1/2

substitute the values of x in the main equation

[2(1/2)-1][(1/2)+4]=0