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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

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Answer :

sqdancefan

Answer:

  0.4

Step-by-step 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:

  [tex]5.6\div14=5.6\times\dfrac{1}{14}[/tex]

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

  [tex]=\dfrac{56}{10}\times\dfrac{1}{14}=56\times\dfrac{1}{10}\times\dfrac{1}{14}[/tex]

The commutative property of multiplication lets us reorder these numbers:

  [tex]=56\times\dfrac{1}{14}\times\dfrac{1}{10}\\\\=\dfrac{56}{14}\times\dfrac{1}{10}\\\\=4\times\dfrac{1}{10}=\dfrac{4}{10}=\boxed{0.4}[/tex]

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