1. Represent
9
7
and
29
6
on the number line?
2. Represent
2 5 9
, ,
13 13 13
on the number line?
3. Find 12 rational numbers between -1 and 2?
4. Find 10 rational numbers between
-3
4
and
5
6
?
5. Write 5 rational numbers which are smaller than
7
8
?
Answers
Step-by-step explanation:
3.A.Find 12 rational numbers between -1 and 2?
Rational number between -1and2 = -1+2/2
= 1/2
Rational number between 2and1/2= 2+1/2/2
= 4+1/2/2
= 5/4
Rational number between 2and5/4= 2+5/4/2
= 8+5/4/2
= 13/8
Rational number between 2and13/8= 2+13/8/2
= 16+13/8/2
= 29/16
Rational number between 2and29/16= 2+29/16/2
= 32+29/16/2
= 61/32
Rational number between 2and61/32= 2+61/32/2
= 64+61/32/2
= 125/64
.
. .1/2,5/4,13/8,29/16,61/32and so on
4.A.Find 10 rational numbers between-3/4and 5/6
Rational numbers between-3/4and5/6
= -3/4+5/6/2
=4*(4)+5*(2)/12/2
=16+10/12//2
= 26/24
= 13/12
Rational numbers between5/6and13/12
= 5/6+13/12/2
= 5*2+13*1/12/2
= 10+13/12/2
= 23/24
Rational number between 5/6and23/24
= 5/6+23/24/2
= 5*4+23*1/24/2
= 20+23/24/2
= 43/48
Rational number between 5/6and343/48
= 5/6+43/48/2
= 5*8+43*1/48/2
= 40+43/48/2
= 83/96
Rational number between 5/6and83/96
= 5/6+83/96/2
= 5*16+83*1/96/2
= 80+83/192
= 163/192
.
. .13/12,,23/24,43/48,83/96,163/192and so on
5.A.Write 5 rational numbers which are smaller than 7/8
.
. .2/8,3/8,4/8,5/8,6/8
2.A.Represent 2,5,9,13
-3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
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Answer:
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Step-by-step explanation:
Rational number between -1and2 = -1+2/2
= 1/2
Rational number between 2and1/2= 2+1/2/2
= 4+1/2/2
= 5/4
Rational number between 2and5/4= 2+5/4/2
= 8+5/4/2
= 13/8
Rational number between 2and13/8= 2+13/8/2
= 16+13/8/2
= 29/16
Rational number between 2and29/16= 2+29/16/2
= 32+29/16/2
= 61/32
Rational number between 2and61/32= 2+61/32/2
= 64+61/32/2
= 125/64
.
. .1/2,5/4,13/8,29/16,61/32and so on
4.A.Find 10 rational numbers between-3/4and 5/6
Rational numbers between-3/4and5/6
= -3/4+5/6/2
=4*(4)+5*(2)/12/2
=16+10/12//2
= 26/24
= 13/12
Rational numbers between5/6and13/12
= 5/6+13/12/2
= 5*2+13*1/12/2
= 10+13/12/2
= 23/24
Rational number between 5/6and23/24
= 5/6+23/24/2
= 5*4+23*1/24/2
= 20+23/24/2
= 43/48
Rational number between 5/6and343/48
= 5/6+43/48/2
= 5*8+43*1/48/2
= 40+43/48/2
= 83/96
Rational number between 5/6and83/96
= 5/6+83/96/2
= 5*16+83*1/96/2
= 80+83/192
= 163/192
.
. .13/12,,23/24,43/48,83/96,163/192and so on
5.A.Write 5 rational numbers which are smaller than 7/8
.
. .2/8,3/8,4/8,5/8,6/8
2.A.Represent 2,5,9,13
-3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
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