compare < > =
1) - 1/7 -6/7
i got : <
2) -3/4 -3/8
i got: <
3) - 1/2 - 2/10
i got : >
4) - 3/4 -1
i got: <
5) - 1/2 - 5/6
i got: <
6) -4/5 -1/3
i got: >
7) 5.2 > -8.3
8) -6.5 > 6.2
9) -4.9 > -4.3
10) 1.09 < -1.90
11) -1.22 < -6.5
12) -10.2 < -10.23
are these correct?
1) - 1/7 -6/7
i got : < ----------- no, -1/7 is to the right of -6/7 on the number line
2) -3/4 -3/8
i got: < --------- ✔
3) - 1/2 - 2/10
i got : > -------- no, -1/2 is to the left of -2/10 , so it is smaller
4) - 3/4 -1
i got: < --------- no , -3/4 is to the right of -1
5) - 1/2 - 5/6
i got: < --------- no
6) -4/5 -1/3
i got: > ------- no
7) 5.2 > -8.3 --- ✔
8) -6.5 > 6.2 --- no
9) -4.9 > -4.3 --- no
10) 1.09 < -1.90 ---no
11) -1.22 < -6.5 --- no
12) -10.2 < -10.23 --- no
You seem to be missing the concept here
Have you drawn a number line ?
Comparing two positives should give you no problem, since you would say
larger > smaller
If one is +, the other negative, that is even easier, obvious
positive > negative in all cases
here is a neat method to make sure you get the 2 negative case correct
e.g. #11) -1.22 and -6.5
write them down as positives without any >or<
1.22 ..... 6.5
it should be easy to see which sign belongs, in this case the <
so 1.22 < 6.5
then --------- -1.22 > -6.5 (notice I reversed the < sign to > )
try that method on those you missed and you will see why you were wrong.
now here is the example from school notes:
- 3/4 ad - 1/2
compare < > =
-3/4 becomes -.75 and
- 1/2 becomes -.5
so -75 is < -.5 is that right?
reiny could you see what dana posted she said all but 1 was wrong im confused
no #2 was wrong it s/b >
Yes, your last example is done correctly
It looks like your teacher wants you to change the fractions to decimals and the consider where they are on the number line
the -.75 would be to left of -.5 , so it is smaller and
-.75 < -.5
-3/4 < -1/2
Notice you will get the same result if you do it my way.
You obviously did not follow your own example when you did all those questions
im sorry i will redo this its getting confusing. your right im not really following i was out sick yesterday and will go in early tomorrow
im sorr
Let's go through each comparison and check if your answers are correct.
1) -1/7 is less than -6/7: Correct, the negative sign flips the inequality, so -1/7 is greater than -6/7. The correct answer is ">".
2) -3/4 is less than -3/8: Incorrect, both fractions are negative, so we compare their absolute values. The absolute value of -3/4 is 3/4, and the absolute value of -3/8 is 3/8. Since 3/4 is greater than 3/8, the correct answer is ">".
3) -1/2 is greater than -2/10: Correct, the negative sign flips the inequality, so -1/2 is less than -2/10. The correct answer is "<".
4) -3/4 is less than -1: Correct, the negative sign in -1 flips the inequality, so -3/4 is greater than -1. The correct answer is ">"
5) -1/2 is less than -5/6: Correct, both fractions are negative, so we compare their absolute values. The absolute value of -1/2 is 1/2, and the absolute value of -5/6 is 5/6. Since 1/2 is less than 5/6, the correct answer is "<".
6) -4/5 is greater than -1/3: Correct, both fractions are negative, so we compare their absolute values. The absolute value of -4/5 is 4/5, and the absolute value of -1/3 is 1/3. Since 4/5 is greater than 1/3, the correct answer is ">".
7) 5.2 is greater than -8.3: Correct. When comparing two numbers without fractions or decimals, you can directly compare them. 5.2 is greater than -8.3. The correct answer is ">".
8) -6.5 is greater than 6.2: Incorrect, -6.5 is less than 6.2. The correct answer is "<".
9) -4.9 is greater than -4.3: Incorrect, -4.9 is less than -4.3. The correct answer is "<".
10) 1.09 is less than -1.90: Correct. When comparing two decimal numbers, you can directly compare them. 1.09 is less than -1.90. The correct answer is "<".
11) -1.22 is less than -6.5: Correct. Both numbers are negative, so we compare their absolute values. The absolute value of -1.22 is 1.22, and the absolute value of -6.5 is 6.5. Since 1.22 is less than 6.5, the correct answer is "<".
12) -10.2 is less than -10.23: Incorrect, -10.2 is greater than -10.23. The correct answer is ">".
Comparisons 2, 8, 9, and 12 have incorrect answers.