the correct option is:
"Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions."
Which form would you encourage Miguel to choose?
Miguel wants to do the product below:
-0.6*(5/6)
And he know that to do it, he should convert both numbers to the same form, only that he does not know if he should transform the decimal number into a fraction or the fraction into a decimal.
It is always easier to work with fractions, so the blind answer is to go with the fraction, but let's see why this is the best option.
5/6 written as a decimal will give:
5/6 = 0.833....
It is a repeating decimal number, so taking the exact product would be impossible to do by hand if we used both numbers in decimal form.
While -0.6 written as a fraction is really trivial, just multiply it and divide it by 10, it becomes:
-0.6 = -6/10
Then the product is:
(-6/10)*(5/6) = -5/10 = -1/2
Then the correct option is:
"Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions."
If you want to learn more about fractions, you can read:
https://brainly.com/question/11562149
#SPJ1
