About Remainder in Math
What is Remainder?
While performing division operations, the number that is left after the division is called remainder.
Example 1: 453 ÷ 2
Hence, dividend = 453, divisor = 2, quotient = 226 and remainder = 1.
Example 2: 93 ÷ 3
Hence, dividend = 93, divisor = 3, quotient = 31 and remainder = 0.
Terms Used in Division
In the division process, there are four parts:
- Dividend: The number that we divide is called as a dividend
- Divisor: The number which divides is called as a divisor
- Quotient: The result we get from the division operation is called as a quotient
- Remainder: The number which is left after the division operation is known as the remainder
Remainder Formula
The formula to find the dividend:
Dividend = Divisor x Quotient + Remainder
So, the formula to find the remainder is,
Remainder = Dividend – (Divisor x Quotient)
Rapid Recall
Solved Remainder Examples
Example 1: John has 75 cupcakes and he distributed it equally among 6 of his friends. How many marbles are left with John?
Solution:
75 \(\div\) 6 = 12 R3
Therefore, John will distribute 12 cupcakes to each of his friends and 3 cupcakes will be left with him.
Example 2: Write the terms used in division; 105 ÷ 7
Solution:
Therefore, in 105 \(\div\) 7 dividend = 105, divisor = 7, quotient = 15 and remainder = 0.
Example 3: If dividend = 125, divisor = 20 and quotient = 4, find the remainder?
Solution:
Since, Remainder = Dividend – (Divisor x Quotient)
Substitute the given values,
Remainder = 125 – (20 × 4) [PEMDAS rule]
= 125 – 80
= 45
Therefore, the remainder is 45.
Remainder = Dividend – (Divisor x Quotient)
There are 4 terminologies used;
- Divisor
- Dividend
- Quotient
- Remainder
When a number is divided by another number, the result we get is called the quotient and the number left after the division operation is called the remainder.
Hence, the quotient is 114 and the remainder is 1
The remainder of 73 divided by 5 is 3. This is because when 73 is divided by 5, the quotient is 14 and the remainder is 3.
The remainder of 12101 divided by 11 is 1.