I dont think the answer is always. Because integers are always whole numbers. Hope that helps a little?
When 2n is divided by 4 the remainder will be 2
Division is a simple operation in which a number is divided.
Given,
A whole number n which when divided by 4 gives 3 as remainder
We know,
Dividend = (Divisor × quotient)+ Remainder
Here,
Dividend = n
Quotient = 4
Remainder =3
Consider the divisor as a
Then,
n = 4a+3
Multiply both side by 2
2n= 2(4a+3)
2n= 8a+6
Split the term 6 and take common outside
2n= 8a+4+2
2n= 4(2a+1)+2
So, when 2n is divided by 4
Divisor = 2a+1
Remainder = 2
Hence, when 2n is divided by 4 the remainder will be 2
Learn more about division here
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WE know 1 day = 24 hours
To find number of hours spent on each activity, we multiply the corresponding percentage by 24
School : 25 % --> 0.25 * 24 = 6.00 hrs
Eating : 10 % ----> 0.1 * 24 = 2.40 hrs
Sleep : 40 % ----> 0.4 * 24 = 9.60 hrs
Homework: 10 % ---->0.1 * 24 = 2.40 hrs
Free time: 15 % -----> 0.15 * 24 = 3.60 hrs
You can write it as 2x10x47 then 47x2 is equal to 94 and time it with 10 so it’s 940
