Question 757628: Hello!
I'm in grade 9. I work from a textbook called, "Math Makes Sense"
In one of the questions I was told to do was, "Write the rational number represented by each letter on the number line, as a fraction" I've looked through the textbook to find step by step instructions, I've checked online, asked around for help but none of them seem to help. I've basically tried everything I could. The thing that most confused me was the number line. It was put like this,
-|---|---|---|---|---|---|---|---|-
-12.........E..-11..F..........-10
I did look at the answer at the back of the textbook which was, E= 45/4 F= 43/4.
All I'm trying to figure out is how they got that! If you could help me with this, it would be gladly appreciated.
Thanks for taking your time to read this.
-Ariel R.
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! A number line is like a ruler, with marking for measurements. You show marks labeled -10, -11, and -12, and there are some markings with no numbers written. The markings between your -10 and -11 show four equal increments; this means the difference between each number, marked labeled or unlabeled, is  . The reported value for F in your answer key is correct. F sits three quarts of the way from -10 to -11. It NEEDS to be reported as  . The negative sign is necessary. Note that  is the same as  .
What would you call E? It is one mark to the left of -11, and again, there are four increments between -11 and -12, so this ONE between NEGATIVE ELEVEN and NEGATIVE TWELVE is cut into increments of  . E then sits at  . What is this as the equivalent number of 's?
For practical purposes, an improper fraction is also a rational number. Both a proper fraction and an improper fraction are rational numbers.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! "Write the rational number represented by each letter on the number line, as a fraction" I've looked through the textbook to find step by step instructions, I've checked online, asked around for help but none of them seem to help. I've basically tried everything I could. The thing that most confused me was the number line. It was put like this,
-|---|---|---|---|---|---|---|---|-
-12.........E..-11..F..........-10
I did look at the answer at the back of the textbook which was, E= 45/4 F= 43/4.
All I'm trying to figure out is how they got that! If you could help me with this, it would be gladly appreciated.
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Notice that there are 4 segments separating -11 and -12.
Each of those segments is 1/4 th of the distance from
-11 to -12
The marks from right to left are at -11 1/4 ; -11 2/4 ; -11 3/4 ; -12
------
Notice that E is at the 1st marker to the left of -11.
The number there is -11 1/4
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That number is -11 1/4 = -(4*11+1)/4 = -451/4
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Similarly F is between -10 and -11
F is at the mark -10 3/4 = -(4*10+3)/4 = -43/4
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Cheers,
Stan H.
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