100-100 divided by 100-100 is equal to
Answers
Answer:
The correct answer is 2
Step-by-step explanation:
STEP 1: Lets take a look at the statement
We have two basic equations, i.e. (100–100) / (100–100)
Suppose that we can write 100 as 10^2.
STEP 2: If 100 = 10^2
Then,
(100-100)= (10^2 - 10^2) in the numerator.
STEP 3:
In the denominator, we can write 100–100 = 10 X (10–10).
STEP 4:
(100–100)/(100–100) = (10^2 – 10^2)/ [10 X (10–10)]
STEP 5:
Look into the identities of expansion and factorisation in algebra.
Since,
a^2 - b^2 can also be written as (a+b) X (a-b)
Then,
(10^2 - 10^2)/[10 X (10–10)] = [(10+10) X (10–10)] / [10 X (10–10)].
Cancelling 10–10 in the numerator and denominator.We should not simplify it to 0/0.
LAST STEP:
[(10+10)*(10–10)] / [10*(10–10)]
= (10+10)/10
= 20/10
= 2.
prove 100-100/100-100=2
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