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Concept explainers
i.
To explain: Write the missing reasons to justify the multiplicative property of zero.
i.
![Check Mark](/static/check-mark.png)
Explanation of Solution
First take 0=0 then by adding 0 on the right hand side, we get
Hence the property used here is identity property of addition
ii.
To explain: Write the missing reasons to justify the multiplicative property of zero.
ii.
![Check Mark](/static/check-mark.png)
Explanation of Solution
From above part (i) we
here, by multiplying
iii.
To explain: Write the missing reasons to justify the multiplicative property of zero.
iii.
![Check Mark](/static/check-mark.png)
Explanation of Solution
From the above part (ii), we have
Hence here we use distributive property.
iv.
To explain: Write the missing reasons to justify the multiplicative property of zero.
iv.
![Check Mark](/static/check-mark.png)
Explanation of Solution
We know that
By using the property of part (i), we have
Adding both above equations, we have
here we substituted
v.
To explain: Write the missing reasons to justify the multiplicative property of zero.
v.
![Check Mark](/static/check-mark.png)
Explanation of Solution
From above part (iv) we have
Hence here subtraction property of equality is used
vi.
To explain: Write the missing reasons to justify the multiplicative property of zero.
vi.
![Check Mark](/static/check-mark.png)
Explanation of Solution
From above part we have
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
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