Given n = 50 and d = 3:
Show the quotient remainder theorem
Quotient Remainder Definition
For positive integers n and d
n div d = q
n mod d = r <--> n = dq + r
and 0 ≤ r < d
Determine n div d:
This is the integer quotient when n ÷ d
50 ÷ 3 = Floor(16.666666666667) = 16
Determine n mod d (remainder)
50 mod 3 = 2
Quotient-Remainder Theorem:
n = dq + r
50 = (3)(16) + 2
50 = 48 + 2
50 = 50
You have 2 free calculationss remaining
What is the Answer?
50 = 50
How does the Quotient-Remainder Theorem Calculator work?
Free Quotient-Remainder Theorem Calculator - Given 2 positive integers n and d, this displays the quotient remainder theorem.
This calculator has 2 inputs.
This calculator has 2 inputs.
What 3 formulas are used for the Quotient-Remainder Theorem Calculator?
What 6 concepts are covered in the Quotient-Remainder Theorem Calculator?
- integer
- a whole number; a number that is not a fraction
...,-5,-4,-3,-2,-1,0,1,2,3,4,5,... - modulus
- the remainder of a division, after one number is divided by another.
a mod b - quotient
- The result of dividing two expressions.
- quotient-remainder theorem
- When we divide A by B, Q is the quotient, R is the remainder
- remainder
- The portion of a division operation leftover after dividing two integers
- theorem
- A statement provable using logic
Example calculations for the Quotient-Remainder Theorem Calculator
Tags:
Add This Calculator To Your Website
