Write each fraction as a decimal. For repeating decimals, write t...

Question

Write each fraction as a decimal. For repeating decimals, write the answer by first using bar notation and then rounding to the nearest thousandth. 1/6

Accepted Answer

Hey everyone here we are asked to convert our given fraction to its equivalent decimal expression and we will have two final answers. One using bar notation and the other answer will be rounded to the nearest hundreds place value. So taking a look at our given fraction here we have 56. Well if we recall converting a fraction to its equivalent decimal expression we just take the numerator And divided by the denominator. So in this case we have five divided by six which gives us the decimal expression of 0.8333 in this three continues to repeat on and on. So now that we have found our equivalent decimal expression we can go ahead and rewrite it first using bar notation. Well if we recall with bar note, All we have to do is place a bar over the repeating value. So in this case we see that in our decimal expression we have this three which begins in the hundreds place and then continues to repeat on and on. So with this information we can simply rewrite this decimal expression using bar notation as zero 83 with a bar placed over the three value again since it is repeating and now that we have found one of our solutions, we can move on to the second solution where we round our equivalent decimal expression to the nearest hundreds place value. Well since we are rounding to the hundreds place we need to look to the place value to the right of it. So we need to look at the thousands place value. Well we see that the value in the thousands place is three, which we know is less than five. So we know that we need to round down. And so since we are rounding down all of the values to the rights of the hundreds, place simply become zero so we can rewrite our now rounded decimal expression As 0.83. And with this we have found our two solutions and we are left with answer choice. D. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Write each fraction as a decimal. For repeating decimals, write the answer by first using bar notation and then rounding to the nearest thousandth. 1/6

Key Concepts

Fractions and Decimals

Repeating Decimals

Rounding Decimals

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