NCERT solutions for Mathematics [English] Class 7 chapter 8 - Rational Numbers [Latest edition]

List five rational numbers between −1 and 0.

List five rational numbers between −2 and −1.

List five rational numbers between `(-4)/5  "and"  (-2)/3`.

List five rational numbers between `-1/2  "and"  2/3`.

Write four more rational numbers in the following pattern:

`(-3)/5, (-6)/10,(-9)/15, (-12)/20, ...`

Write four more rational numbers in the following pattern:

`(-1)/4, (-2)/8,(-3)/12 ....`

Write four more rational numbers in the following pattern:

`(-1)/6, 2/(-12), 3/(-18), 4/(-24)`

Write four more rational numbers in the following pattern:

`(-2)/3, 2/(-3),4/(-6), 6/(-9)...`

Give four rational numbers equivalent to `(-2)/7`.

Give four rational numbers equivalent to `5/(-3)`.

Give four rational numbers equivalent to `4/9`.

Draw the number line and represent the following rational numbers on it:

`3/4`

Draw the number line and represent the following rational numbers on it:

`(-5)/8`

Draw the number line and represent the following rational numbers on it:

`(-7)/4`

Draw the number line and represent the following rational numbers on it:

`7/8`

The points P, Q, R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.

Which of the following pair represent the same rational number?

`(-7)/21  "and"  3/9`

Which of the following pairs represent the same rational number?

`(-16)/20  "and"  20/(-25)`

Which of the following pairs represent the same rational number?

`(-2)/(-3)  "and"  2/3`

Which of the following pairs represent the same rational number?

`(-3)/5  "and"  (-12)/20`

Which of the following pairs represent the same rational number?

`8/(-5)  "and"  (-24)/15`

Which of the following pairs represent the same rational number?

`1/3  "and"  (-1)/9`

Which of the following pairs represent the same rational number?

`(-5)/(-9)  "and"  5/(-9)`

Rewrite the following rational number in the simplest form:

`(-8)/6`

Rewrite the following rational number in the simplest form:

`25/45`

Rewrite the following rational number in the simplest form:

`(-44)/72`

Rewrite the following rational number in the simplest form:

`(-8)/10`

Fill in the box with the correct symbol out of >, <, and =.

`(-5)/7 square2/3`

Fill in the box with the correct symbol out of >, <, and =.

 `(-4)/5square(-5)/7`

Fill in the box with the correct symbol out of >, <, and =.

`(-7)/8 square14/(-16)`

Fill in the boxes with the correct symbol out of >, < and =.

`(-8)/5square(-7)/4`

Fill in the box with the correct symbol out of >, <, and =.

`1/(-3)square(-1)/4`

Fill in the box with the correct symbol out of >, < and =.

`5/(-11)square(-5)/11`

Fill in the box with the correct symbol out of >, < and =.

 0 `square  (-7)/6`

Which is greater in the following?

`2/3,5/2`

Which is greater in the following?

`(-5)/6, (-4)/3`

Which is greater in the following?

`(-3)/4, 2/(-3)`

Which is greater in the following?

`(-1)/4, 1/4`

Which is greater in the following?

`-3 2/7, -3 4/5`

Write the given rational numbers in ascending order:

`(-3)/5, (-2)/5, (-1)/5`

Write the given rational numbers in ascending order:

`(-1)/3, (-2)/9, (-4)/3`

Write the given rational numbers in ascending order:

`(-3)/7, (-3)/2, (-3)/4`

Find the sum:

`5/4 + ((-11)/4)`

Find the sum:

`5/3 + 3/5`

Find the sum:

`(-9)/10 + 22/15`

Find the sum:

`(-3)/(-11) + 5/9`

Find the sum:

`(-8)/19 + (-2)/57`

Find the sum:

`(-2)/3 + 0`

Find the sum:

`-2 1/3 + 4 3/5`

Find `7/24 - 17/36`

Find `5/63 - ((-6)/21)`.

Find `(-6)/13 - ((-  7)/15)`.

Find `(-3)/8 - 7/11`.

Find `-2 1/9 - 6`.

Find the product:

`9/2 xx ((-7)/4)`

Find the product:

`3/10 xx (-9)`

Find the product:

`(-6)/9 xx 9/11`

Find the product:

`3/7 xx((-2)/5)`

Find the product:

`3/11xx 2/5`

Find the product:

`3/(-5) xx (-5)/3`

Find the value of `(-4) ÷ 2/3`.

Find the value of `(-3)/5 ÷ 2`.

Find the value of `(-4)/5÷ (-3)`.

Find the value of `(-1)/8 ÷ 3/4`.

Find the value of `(-2)/13 ÷ 1/7`.

Find the value of `(-7)/12 ÷((-2)/13)`.

Find the value of `3/13 ÷ ((-4)/65)`.