iif $a$, $b$, $c$, and $d$ are replaced by four distinct digits from $1$ to $9$, inclusive, then what's the largest possible val
1 answer:
If a, b ,c ,d are replaced by four distinct digits from 1 to 9 , inclusive, then the largest possible value of the difference of the decimals (a.b) and (c.d)[(a.b - c.d)] will be 8.6.
As per question statement, a, b ,c ,d are replaced by four distinct digits from 1 to 9 , inclusive.
We are required to calculate the largest possible value of the difference of the decimals (a.b) and (c.d).
Now, clearly, to obtain the largest difference between two decimals (a.b) and (c.d), (a.b) has to be the largest possible decimal within the given conditions and (c.d) has to be the least possible decimal.
Now, the largest decimal we can from using the numbers (1 to 9) is 9.8 and the smallest decimal we can from using the numbers (1 to 9) is 1.2.
That is, [(a.b) = (9.8)] and [(c.d) = (1.2)]
And, the difference of the Largest Decimal and the least decimal is bound to be the largest.
Therefore, .
- Decimal: relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten, a decimal is a fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.
To learn more about decimals, click on the link below.
#SPJ4
You might be interested in
Answer:
-7
Step-by-step explanation:
Given
Required
The first difference
To do this, we simply calculate the difference between the consecutive y-values.
i.e.
So, we have:
<em>Hence, the first differences are -7 (all through)</em>
Lets say that the two unknown integers are 
and 
.
We know the following things about and :
And, we want to find
.
To solve this, we'll use the expansion of the squared of the sum of any two inegers; this is expressed as:
So, given what we know about the unknown integers, the previous can be written as:
We can easily solve for:
The answer is 168.
Another approach to solve the problem is, from the two starting equations, compute the values of and , which are 12 and 14, and directly compute their product; however, the approach described is more elegant.
We know the following things about
And, we want to find
To solve this, we'll use the expansion of the squared of the sum of any two inegers; this is expressed as:
So, given what we know about the unknown integers, the previous can be written as:
We can easily solve for
The answer is 168.
Another approach to solve the problem is, from the two starting equations, compute the values of