Simplify the following:
5000 mod 120
Also, does 120 divide 5000?
Define modulus:
Remainder of a ÷ b
In this case, a = 5000 and b = 120
Calculate whole number part:
120 goes into 5000 a total of 41 times
120 x 41 = 4920
Calculate remainder part:
Remainder = a - whole number
Remainder = 5000 - 4920
5000 mod 120 ≡ 80
This means that 120 does not divide 5000 → 120∤5000
This means that 120 does not divide 5000 → 120∤5000
Excel or Google Sheets formula:
Excel or Google Sheets formula:=MOD(5000,120)What is the Answer?
5000 mod 120 ≡ 80
This means that 120 does not divide 5000 → 120∤5000
This means that 120 does not divide 5000 → 120∤5000
How does the Modulus Calculator work?
Free Modulus Calculator - Given 2 integers a and b, this modulo calculator determines a mod b or simplifies modular arithmetic such as 7 mod 3 + 5 mod 8 - 32 mod 5
This calculator has 1 input.
This calculator has 1 input.
What 1 formula is used for the Modulus Calculator?
amodb = Remainder after a ÷ b
What 2 concepts are covered in the Modulus Calculator?
- modulus
- the remainder of a division, after one number is divided by another.
a mod b - remainder
- The portion of a division operation leftover after dividing two integers
