can you please tell me what this number in word and expanded form is because I really do not know it's really hard for me
1 answer:
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The difference between two integers is at least 14. The smaller integer is 2. What is the larger integer?
<h3><u>Answer:</u></h3>The largest integer is 16
<h3><u>Solution:</u></h3>Given that difference between two integers is at least 14
The smaller integer is 2
To find: largest integer
Let the smallest integer be "y" and largest integer be "x"
smallest integer = x = 2
difference between two integers is at least 14
So, y - 2 14
y 14 + 2
y 16
Thus the largest integer is 16
You can write 2311 and 3912 in the form :
Then
Taken modulo 20, the terms containing powers of 20 vanish and you're left with
We further have
so we end up with
and so .
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If instead you're trying to find , you can apply Euler's theorem. We can show that
using the Euclidean algorithm. Then since
, and 8 divides 3912, we have
To show 2311 and 20 are coprime:
2311 = 115*20 + 11
20 = 1*11 + 9
11 = 1*9 + 2
9 = 4*2 + 1 => gcd(2311, 20) = 1