Given n = 15 and d = 20:

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

15 ÷ 20 = Floor(0.75) = 0

Determine n mod d (remainder) 15 mod 20 = 15

Quotient-Remainder Theorem: n = dq + r

15 = (20)(0) + 15

15 = 0 + 15

See Answer 15 = 15

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.

What 3 formulas are used for the Quotient-Remainder Theorem Calculator?
q = n div d

r = n mod d

n = dq + r

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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
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