Hi guys, today in class we did some questions. The question was what numbers fit in between 1/8 and 1/10.
We will first start with 1/10.
Well first of all most people in our class said that 1÷10=0.1 which is true but then we were asked to do it another way. Jamie said that 1/2 of 1/4 = 1/2 x 1/4 = 1/8. Then I think Guiseppe said 1/4 / 2. What Guiseppe did was a complex fraction.
Then we were told that we could do it this way ...
We were first asked if 8 could go into 1 and common sense no. Then we were told that by adding a decimal point after 1 still means 1. But instead of looking at it as 1.0 just look at it as 10. But by adding the decimal we must also place the decimal in our answer and during our process of finding out what we did. So then we were then asked how many times does 8 fit into 10 and its 1. We then subtracted 1.0 to 0.8 to get 0.2. Since 8 can't go into 0.2 you can place another 0 after 0.2 to make it 0.20. It is still 0.2 but by placing the 0 it makes it look like its 0.20. So then we were asked how many times does 8 go into 0.20 and it equals 0.16. You then subtract 0.16 from 0.20 and get 0.04. Once again 8 does not fit into 4 but by placing a 0 in front of the 4 it looks like 0.040. We were then asked how many times does 8 go into 40 and it equals 5 times. We then subtract 0.040 by 0.040 which is 0. You then should have an answer of 0.125.
We then had to convert 1/10 into a decimal which was pretty easy.
Once again by placing the decimal it would look like 10. So then we were then asked how many times does 10 go into 10. We got 1 and then you subtract 1.0 from 1.0 to equal 0. You should then have an answer of 0.1.
Now that we have converted the fractions into decimals we then asked what numbers fit between 0.1 and 0.125.
We came up with answers like 0.101, 0.102, 0.103,0.104
These answers are correct. How do we know ? As long as the first 3 digits are the same then anything after the that is between 0.1 and 0.125.
Sorry if none of this makes sense.
Please comment, I am for sure i made mistakes and errors.
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