Question

QUSTUN 5

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Dwayne is trying to find the fraction represented by the repeating decimal 0.5. He completes the three
steps shown:
1) Let x = 0.5
2) 10x = 5.5
3)
10x =
5.5
-X =
9x = 5
0.5
What is the purpose of Step 3?
It removes the repeating part of the decimal from the equation.
o It shows that 0.5 is an irrational number.
It puts the fraction in lowest terms.
It shows that 0.5 is a terminating decimal.​

Answer 1

It removes the repeating part of the decimal from the equation.

Explanation:

Described here is the process of converting the repeating decimal fraction into fraction in the form of p/q

1) --------------

• x = 0.555555

2) --------------

• 10x = 5.555555

3) --------------

• 10 x - x = 5.555555 - 0.555555
• 9x = 5
• x = 5/9

So the purpose of step 3 here is to remove the repeating part of the decimal from the equation

Correct option is the first one.