remainder

Everyday

1. The remainder is what is left over when a number cannot be divided exactly. 13 divided by 4 is 3 with a remainder of 1. tree →
2. The remainder of something is the rest of it, the part still left: «the remainder of the day». tree →

In the lessons

In school maths: the amount left over after equal sharing or grouping (written «r»: 23 ÷ 5 = 4 r 3); also «the remainder» meaning the rest after taking a part. The remainder is always smaller than the number you divide by. In everyday life: «the remainder of the week», «the remainder of the cake». Phrases: «with a remainder of», «no remainder», «the remainder of».

Examples

• 23 ÷ 5 = 4 remainder 3. tree →
• How many apples are in the remainder? tree →
• She spent half and saved the remainder. tree →
• 29 children in groups of 6, how many are left as the remainder? tree →
• 20 ÷ 4 has no remainder. tree →
• 17 sweets shared by 5 children gives 3 each with 2 as the remainder. tree →
• We spent the remainder of the day at the beach. tree →
• She ate one slice and saved the remainder for later. tree →
• The remainder of the day went like the previous one. tree →

Note

Do not confuse with «reminder» (something that helps you remember). The remainder must be less than the divisor; if it is not, you can share more. Maths: signals division with leftovers, or «the rest» after taking a part. Trap: sometimes the remainder needs one more box or bus (round up), sometimes it is dropped.

In Jewish tradition

The law says leftover holy food must be burned, not eaten later, because it is holy and must be treated with care. The wise woman of Tekoa pleads that her family not be left with no name or remainder on earth, showing how important it was to have descendants. In the primary lessons: In school maths: the amount left over after equal sharing or grouping (written «r»: 23 ÷ 5 = 4 r 3); also «the remainder» meaning the rest after taking a part. The remainder is always smaller than the number you divide by. In everyday life: «the remainder of the week», «the remainder of the cake». Phrases: «with a remainder of», «no remainder», «the remainder of».

Examples

• And if aught of the flesh of the consecration, or of the bread, remain unto the morning, then thou shalt burn the remainder with fire; it shall not be eaten, because it is holy. (Torah EXO.29.34, JPS 1917) tree →
• This last paragraph is generally considered to be less ancient than the remainder of the treatise, and by another author. (Sefer Yetzirah, Westcott 1893) tree →
• Thus will they quench my coal which is left, and will leave to my husband neither name nor remainder upon the face of the earth.' (Prophets 2SA.14.7, JPS 1917) tree →

Note

Do not confuse with «reminder» (something that helps you remember). The remainder must be less than the divisor; if it is not, you can share more. Maths: signals division with leftovers, or «the rest» after taking a part. Trap: sometimes the remainder needs one more box or bus (round up), sometimes it is dropped.