Question

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

Answer 1

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

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.

`(1.8)/(0.6)=(1.8)/(0.6)\cdot(10)/(10)=(1.8\cdot 10)/(0.6\cdot 10)\\\\=(18)/(6)=(3\cdot 6)/(6)=3\cdot(6)/(6)=3`

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.