Question

The decimal number in the equation 5.6 ÷ 14 can be written as 56 tenths. Use this information to help you find the quotient. (3 points)

Group of answer choices

0.3

0.4

0.5

0.6

PLEASE HELP!!!!! (Do u like Wednesday (The TV show) Or do u like Stranger things)?

Answer 1

0.4

Explanation:

You want the quotient of 5.6 and 14, recognizing that 5.6 = 56/10.

Commutative and property of multiplication

Division is the same as multiplication by the reciprocal:

`5.6/14=5.6*(1)/(14)`

The problem statement says you can rewrite 5.6, so we have ...

`=(56)/(10)*(1)/(14)=56*(1)/(10)*(1)/(14)`

The commutative property of multiplication lets us reorder these numbers:

`=56*(1)/(14)*(1)/(10)\\\\=(56)/(14)*(1)/(10)\\\\=4*(1)/(10)=(4)/(10)=\boxed{0.4}`