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. 5/9

Accepted Answer

Hey everyone here we are asked to convert our given fraction to its equivalent decimal expression and we will have to 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 7/9. Now our first step is to convert this fraction to its equivalent desk Expression. So if we recall to do this we just take the numerator and divide it by the denominator. So here we have seven divided by nine which gives us the decimal expression of 0.7777. And the seven continues to repeat. So now that we have our equivalent decimal expression we can go ahead and rewrite it using bar notation. Well if we recall with bar notation, all we have to do is write the decimal expression with a bar over the repeating value. So in this case looking at our decimal here we can see that the seven repeats on and on. So we can go ahead and rewrite this expression, you Bar notation and it will be 0.7 with a bar placed over these seven value again because it is the repeating value. So now that we have found one of our solutions we can go ahead and move on to taking our equivalent decimal expression and rounding it to the nearest 100th place value. So since we are rounding to the hundreds place we need to look at the place value to the right which is the thousands place value. Well in our thousands place value we have the value seven. Well seven is greater than five. So we know we need to round up and since we are rounding up, we need to add one To our hundreds place. So with this we can write our rounded decimal expression which is 0.78 again because we add one to the hundreds place. Since we are rounding up and with this, we have found our two solutions and we are left with answer choice. A 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. 5/9

Key Concepts

Fractions and Decimals

Repeating Decimals

Rounding Decimals

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