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A remainder, in math, is the remaining part or leftover value after performing the division. Learn the definition, formula, long division with examples.
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What is an Example of a Remainder? When 35 toffees are distributed equally among 8 children, each child gets 4 toffees and 3 toffees are left undistributed. Here, 3 is the remainder. You can find more examples of remainders in math. Remainder is the number lesser in value than the divisor or the dividend. How does a Remainder Work?
Division and Remainders. Sometimes when dividing there is something left over. It is called the remainder. Example: There are 7 bones to share with 2 pups. But 7 cannot be divided exactly into 2 groups, so each pup gets 3 bones, and there is 1 left over: We say: "7 divided by 2 equals 3 with a remainder of 1".
Remainder – The amount left over when one number does not divide exactly into another number. The remainder will always be less than the divisor (there is no remainder in 145 ÷ 5, but we will explore this more below)
An amount left over after division, which happens when the first number does not divide exactly by the other. Example: 19 cannot be divided exactly by 5. The closest you can get without going over is 3 x 5 = 15, which is 4 less than 19. So the remainder is 4.
Example. Jamie and Roger went on a 10 -mile hike. If the trip lasted 4 hours, about how many miles did they hike per hour? 10 ÷ 4 = 2½ or 2.5. Thus, Jamie and Roger hiked about 2½ miles (or 2.5 miles) per hour. In this situation, the remainder is expressed as as ½ or 0.5.
If a number (dividend) is not completely divisible by another number (divisor) then we are left with a value once the division is done. This value is called the remainder. For example, 10 is not exactly divided by 3. Since the closest value, we can get 3 x 3 = 9.
