PINKLETES
REMAINDERS
When you divide one number by another, the remainder is the amount left over after the division. Remainder can be expressed using %.
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Example: 17%3 = 2 can be expressed as "the remainder of 17/3 is 2." For example, if three people were to divide 17 smiley face stickers amongst themselves, each person could receive 5 stickers before they have 2 remaining stickers that they cannot divide.
Therefore, the remainder is 2. ( 5 x 3 + 2 = 17 )
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The remainder is always less than the divisor . It represents what's "left over" or "unaccounted for" after the division.​ When the remainder is 0, it means the division was exact, and the numbers are evenly divisible.
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Example: 20%5 =0
because 20/5=4
When the remainder is not 0, it indicates that the division is not exact, and there's an amount left over that doesn't fit evenly into the divisor.
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Another way to solve for the remainder is to use the decimal answer. For example, to find the remainder of 35/2, we first notice 35/2 = 17.5, from there we multiple the whole part (17) by 2 to get 34, finally we subtract 35-34=1.
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35%2 = 1
35/2 = 17.5 -> 35 - 2(17) = 1
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modulo (mod) - We tend to use mod in the format a = b(mod c). This equation translates into b = the remainder of a/c
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