Zelda says, "I Know that 1.8 divided by 0.6 = 3 because 3 x 6 = 18." Explain How knowing this basic multiplication fact can help Zelda Solve 1..8 divided by 0.6 using words8

Respuesta :

Answer:

  Zelda's known fact lets the problem be rewritten to one that allows factors of 6 to be cancelled.

Step-by-step explanation:

The numerator and denominator of the ratio can be scaled by the same value (10). In fact, most methods of performing long division have you do exactly that as a first step.

  [tex]\dfrac{1.8}{0.6}=\dfrac{1.8}{0.6}\cdot\dfrac{10}{10}=\dfrac{1.8\cdot 10}{0.6\cdot 10}\\\\=\dfrac{18}{6}=\dfrac{3\cdot 6}{6}=3\cdot\dfrac{6}{6}=3[/tex]

Rewriting the problem as 18/6, then factoring 18 as 3×6 lets the factors of 6 be cancelled from numerator and denominator, leaving the result 3.