⁦Dividing rational numbers⁩

⁦Find the reciprocal of a rational number and turn divisions of signed numbers into multiplications⁩. ⁦See why dividing by zero makes no sense⁩.

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الدليل

⁦This studio follows the Iranian Grade 8 lesson on multiplying and dividing rational numbers⁩. The المقلوب ⁦of a rational number is the number that makes 1 when you multiply by it⁩. ⁦Swap the numerator and denominator and keep the sign⁩: ⁦the reciprocal of −٣٤ is −٤٣⁩.

⁦To divide, multiply by the reciprocal instead⁩: (−٤٧) ÷ (−٥٧) = (−٤٧)×(−٧٥) = ٤٥.

⁦The product and quotient of two numbers with the same sign is positive; with different signs it is negative⁩.

⁦Any number divided by 1 stays the same⁩. ⁦Dividing by zero has no meaning⁩.