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.
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 modulus the remainder of a division, after one number is divided by another. 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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