in-8-12-write-each-rational-number-as-a-repeating-decimal-frac78

Question

In $8-12,$ write each rational number as a repeating decimal.
$$
\frac{7}{8}
$$

Martha Richards · Accepted Answer

you&#x27;re asked to write seven over eight as a repeating decimal, but you&#x27;ll find when you use your calculator that it&#x27;s just a decimal and it ends at 0.875 is the answer for best one.

Martha Richards · Answer

All right, So this one were asked to write this fraction as a repeating decimal. So for your calculator, it&#x27;s actually a little difficult to do this one, because the repeat is so long that most of it goes off of the screen or isn&#x27;t provided. So what? The answer here using your calculator on dhe, then you concede here. So this five and then we start again. We get this 714 and that&#x27;s all that&#x27;s provided on my calculator. But you can use another calculator that will, um, take it out just to touch further. So because we see that 714 next, we know that that&#x27;s when it starts to repeat. So what we do is now we know that it starts at the 714 and repeats here. And so this line goes across all of these numbers because these numbers repeat again next, so that this starts at 714 and continues on from there

Martha Richards · Answer

so we&#x27;re asked to write. The Fraction one over six is a repeating decimal, so you can use your calculator on this and you get 0.16 and the six continues. And in order to show that the six continues, we just put a bar over that sex. If, for example, the one and the six repeated, then the bar would go across both of those. But in this case, it&#x27;s only the six that repeats. And so we just put the bar over the six.

John Irizar · Answer

to express a fraction as a decimal. We divide the numerator by the denominator. Here they does not go into seven. So we add a zero age goes into 70 age times. Eight times eight is 64. We subtract 70 minus 64 is six. We add another zero eight into 60 goes in seven times. Seven times eight is 56. We subtract 60 minus 56 is four. We add another zero and bring it down. Age into 40 is fine. Five times eight is 40. We subtract zero remainder 7/8 is equal to 0.875

Sarah Wharton · Answer

we want to convert 7/8 to a decimal. So what we can do is we can set up Ah, in a long division form 7.0 just to give us some extra decimal places to work with and will put an eight on the outside. Now it goes into 70 times. Eight times zero is zero. We subtract, we get seven, we bring down that zero. And now we need to think about how many times eat goes into 70 on it goes into 78 times. So we&#x27;ll put an eight right there. I put the decimal up there just so we keep that in mind. Eight times eight is 64. Subtract to get six and bring down the zero to get 60. And now we want to know Ah, how many times eight goes in to 60 and he goes in the 67 times eight times seven is 56. Subtract to get four and bring down the zero. It goes into 45 times. Exactly. Uh, so when we do eight times five, we get 40. And when we subtract, we&#x27;re left with zero. So that means that we have a non repeating decimal. Um, 7/8 is equal to 0.8 75

Sarah Wharton · Answer

here. We want to convert negative 5/8 to a decimal and will solve it via long division. So 5.0 is going to be divided by eight. Will take care of the negative at the very end. Eight goes into 50 times eight times zero is equal to zero. Subtract be left with five and bring down the zero to make. 50 eight goes into 56 times. Six times eight is, uh, 48 and some track to be left with two. Bring down the zero there to make 20. It goes into 22 times. Eight times two is 16. Subtract, subtract to be left with four and bring down the zero to make 40. It goes into 45 times, exactly eight times five is 40. Subtract to be left with zero, meaning that we&#x27;re done with our long division. We don&#x27;t need to do anything else coming back up here. We need to add our decimal point right above where it is in 5.0 and we get 0.625 But it&#x27;s a negative number, So our final answer is going to be negative. 0.6 to 5

Problem

In $13-22,$ write each decimal as a common fracti…

Problem 12 Easy Difficulty

In $8-12,$ write each rational number as a repeating decimal.
$$
\frac{7}{8}
$$

Answer

0.8750

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Absolute Value - Example 1

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Algebra 2 and Trigonometry