About this video
Sal writes 0.0727 as a fraction by naming the place value of each digit. Because the last digit is in the ten-thousandths place, the decimal is 727 ten-thousandths, or 727/10,000, which cannot be simplified further.
You'll be able to
- name the place value of each digit after the decimal point.
- write a decimal as a fraction using the place value of its last digit.
- check whether a fraction can be simplified.
Key words
- place value
- The value of a digit based on its position, such as tenths, hundredths or thousandths.
- ten-thousandths
- The fourth place after the decimal point; one ten-thousandth is 1/10,000.
- simplify
- Divide the top and bottom of a fraction by a common factor to write it with smaller numbers.
Transcript
Let's see if we can write 0.0727 as a fraction. Now, let's just think about what places these are in. This is in the tenths place. This is in the hundredths place. This 2 is in the thousandths place. And this 7 right here, this last 7, is in the ten-thousandths place.
So there's a couple of ways we can do this. The way I like to think of this, this term over here is in the ten-thousandths place. We can view this whole thing right over here as 727 ten-thousandths because this is the smallest place right over here. So let's just rewrite it.
This is equal to 727 over 10,000. And we've already written it as a fraction. And I think that's about as simplified as we can get. This number up here is not divisible by 2. It's not divisible by 5. In fact, it's not divisible by 3, which means it wouldn't be divisible by 6 or 9.
It doesn't even seem to be divisible by 7. It might be a prime number. But I think we are done.
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