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Answer 6

Source(s): https://en.wikipedia.org/wiki/Overline#Math_and_sc

http://www.icoachmath.com/math_dictionary/bar_nota

Your text is apparently being a little sloppy when it says that 0.667 = 66.67/100. We know that in order to consider this to be true, we must interpret each side of the equal sign as a representation of 2/3. (Usually, we want to be more rigorous than that in our interpretation of what = means.)

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Suppose you have a repeating decimal that has a 6-digit repeat. (For example, 1/7 = 0.142857_142857. Call this value n. Now you can multiply n by 10^6, where the exponent 6 is the number of repeating digits. Then you have

.. n = 0.142857142857_142857

.. 10^6*n = 142857.142857142857_142857

Subtracting n from 10^6*n, we get

999999n = 142857 exactly. The repeating decimal fraction cancels in the subtraction. (You will note there are 6 nines, the number of repeating digits.)

Now, you can find n as a common fraction.

.. n = 142857/999999

Reducing this, we have

.. n = 1/7

Yes, 0.667 = 667/1000, but note that

667/1000 = 66.7/100 = 6.67/10 = 66.7/1, etc.

Source(s): https://en.wikipedia.org/wiki/Overline#Math_and_sc

http://www.icoachmath.com/math_dictionary/bar_nota

Source(s): https://en.wikipedia.org/wiki/Overline#Math_and_sc

http://www.icoachmath.com/math_dictionary/bar_nota

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We got that number, .667 by diving 2/3. Though the answer is a repeating .6666666 we round it to .667. Divide it out and youll see.

Some common fractions and there decimal equivalents:

1/2 = 0.5

1/4 = 0.25

1/8 = 0.125

3/4 = 0.75

3/8 = 0.375

5/8 = 0.625

7/8 = 0.875

1/3 = 0.33333. where the 3s repeat forever

2/3 = 0.66666. where the 6s repeat forever

1/5 = 0.2

2/5 = 0.4

3/5 = 0.6

4/5 = 0.8

667/1000.

We got that number, .667 by diving 2/3. Though the answer is a repeating .6666666 we round it to .667. Divide it out and youll see.

667/1000.

2/3 = 0.6666666. where the 6s continue forever

Yes, 0.667 = 667/1000, but note that

667/1000 = 66.7/100 = 6.67/10 = 66.7/1, etc.

Yes, 0.667 = 667/1000, but note that

667/1000 = 66.7/100 = 6.67/10 = 66.7/1, etc.

This post is last updated on hrtanswers.com at Date : 1st of September – 2022