Ernstfalld

2020-11-01

Find the equations

$-8.58÷◻=3.9$
$-3.2×◻=24$

Nathalie Redfern

c) A division fact of $a÷b=c$ is equivalent to the division fact $a÷c=b$.

Therefore $-8.58÷◻=3.9$ is equivalent to the division fact $-8.58÷3.9=\square ◻$.

Since $-8.58÷3.9=-2.2$, then $-8.58÷-2.2=3.9.$
d) A multiplication fact of $a×b=ca×b=c$ is equivalent to the division fact $b=c÷a$.

Therefore $-3.2×◻=24$ is equivalent to the division fact $◻=24÷\left(-3.2\right)◻$.

Since $24÷\left(-3.2\right)=-7.524÷\left(-3.2\right)=-7.5$, then $-3.2×-7.5=24.$

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