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Question

1.)represent 5/3 and -5/3 on number line

2.)find 5 rational numbers between -2 and 6

3.)find rational numbers between -2/3 and 1/4

4.)find 4 irrational numbers between -1/2 and 2/3

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Solution

3.)find rational numbers between -2/3 and 1/4
LCM of 3 and of 4 is 12.
-2/3 =-8/12
1/4= 3/12

So 5 rational numbers in between can be -7/12, -6/12, -5/12, 1/12 and 2/12. etc

4.)find 4 irrational numbers between -1/2 and 2/3
LCM of 2 and 3 is 6.
-1/2 = -3/6= -6/12
2/3 = 4/6=8/12
So 4 rational numbers in between can be -5/12, -4/12, 3/12, 4/12, 5/12 etc


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