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Represent these numbers on the number line. (i) \frac{7}{4} (ii) \frac{-5}{6}

Answer:

\text { (i) } \frac{7}{4}

Divide the line between the whole numbers into 4 parts. i.e, divide the line between 0 and 1 to 4 parts, 1 and 2 to 4 parts and so on.

Thus, the rational number 7/4 lies at a distance of 7 points away from 0 towards positive number line.

\text { (ii) } \frac{-5}{6}

Divide the line between the integers into 4 parts. i.e, divide the line between 0 and -1 to 6 parts, -1 and -2 to 6 parts and so on. Here since the numerator is less than the denominator, dividing 0 to -1 into 6 parts is sufficient.

Thus, the rational number −5/6 lies at a distance of 5 points, away from 0, towards negative number line.

"hello students i am rita your math
leader tutor and the today's question is
represent
these numbers on the number line and in
the first part we have
7 by 4 it is improper fraction so first
of all we break it into mixed fraction
that is four ones are four and seven
minus four is three is the remainder
and three by four so one is to three pi
four we can write it as one plus three
by four
it means when we draw the number line
then we draw the number line so this is
the
number line of the first part and
1 plus 3 by 4 it means this number is
between
1 and 2 this number
is between so this is our
0 and this is
1 and this is 2
and this one is 0
this is 1 and this is 2 because it is 1
plus 3 by 4
now we have now we have to draw 3
by 4 so we have to make four equal parts
now between one and two in the
denominator we have to draw
three lines one
two and three three it means four equal
parts the first one
is the first one is one by four
the second one is two by four and the
third one is three
by four now in the number line so this
is
the answer this is 1 is 2
3 5 4. so this is the answer of the
first part now we go to the second
part in the second part we have
a proper fraction that is minus 5 by 6
so it is on the
left hand side of the number line
first of all we draw a number line
and we make it let this one is
0 and this one is
minus 1 we name it this is 0
and this one is minus 1
because it is minus 5 by 6 now in
denominator we have 6 so we have to make
6 equal parts so we draw 5
lines 1
2 3
4 and 5. we have to make the 5 equal
parts
now we name it so this one is
minus 1 by 6 minus 2 by
6 minus 3 by 6
minus 4 by 6 and this one is minus 5
by 6. now the answer of this question
is this one minus 5 by 6
so this is our answer i hope you like
this video so please subscribe leto for
more updates and to comment your
questions
thank you"

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