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NCERT solutions Mathematics Textbook for Class 8 chapter 1 Rational Numbers

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Chapter 1 - Rational Numbers

Pages 14 - 15

Using appropriate properties find.

`-2/3 xx 3/5 + 5/2 - 3/2 xx 1/6`

Q 1.1 | Page 14 | view solution

Using appropriate properties find

`2/5 xx (-3/7) - 1/6 xx 3/2 + 1/14 xx 2/5`

Q 1.2 | Page 14 | view solution

Write the additive inverse of: `2/8`

Q 2.1 | Page 14 | view solution

Write the additive inverse of  `(-5)/9`

Q 2.2 | Page 14 | view solution

Write the additive inverse of `(-6)/(-5)`

Q 2.3 | Page 14 | view solution

Write the additive inverse of  `2/(-9)`

Q 2.4 | Page 14 | view solution

Write the additive inverse of `19/(-6)`

Q 2.5 | Page 14 | view solution

Verify that – (– x) = x for x = `11/15`

Q 3.1 | Page 14 | view solution

Verify that – (– x) = x for x = `-13/17`

Q 3.2 | Page 14 | view solution

Find the multiplicative inverse of -13

Q 4.1 | Page 14 | view solution

Find the multiplicative inverse `(-13)/19`

Q 4.2 | Page 14 | view solution

Find the multiplicative inverse of `1/5`

Q 4.3 | Page 14 | view solution

Find the multiplicative inverse  `(-5)/8 xx (-3)/7`

Q 4.4 | Page 14 | view solution

Find the multiplicative inverse of `-1 xx (-2)/5`

Q 4.5 | Page 14 | view solution

Find the multiplicative inverse -1

Q 4.6 | Page 14 | view solution

Name the property under multiplication used in given

`(-4)/5 xx 1 = 1 xx (-4)/5 = -4/5`

Q 5.1 | Page 14 | view solution

Name the property under multiplication used in given

`-13/17 xx (-2)/7 = (-2)/7 xx (-13)/17`

Q 5.2 | Page 14 | view solution

Name the property under multiplication used in given

`-19/29 xx 29/(-19) = 1`

Q 5.3 | Page 14 | view solution

Multiply `6/13` by the reciprocal of `-7/16`

Q 6 | Page 14 | view solution

Tell what property allows you to compute `1/3 xx(6xx4/3)` as `(1/3 xx 6) xx 4/3`

Q 7 | Page 14 | view solution

Is `8/9` the multiplicative inverse of -1 `1/8`? Why or why not?

Q 8 | Page 14 | view solution

Is 0.3 the multiplicative inverse of 3 `1/3` ? Why or why not?

Q 9 | Page 14 | view solution

Write: The rational number that does not have a reciprocal

Q 10.1 | Page 15 | view solution

Write : The rational numbers that are equal to their reciprocals.

Q 10.2 | Page 15 | view solution

Write : The rational number that is equal to its negative.

Q 10.3 | Page 15 | view solution

Fill in the blanks

Zero has __________ reciprocal.

Q 11.1 | Page 15 | view solution

Fill in the blanks

The numbers __________ and __________ are their own reciprocals

Q 11.2 | Page 15 | view solution

Fill in the blanks

The reciprocal of − 5 is ______.

Q 11.3 | Page 15 | view solution

Fill in the blanks

Reciprocal of `1/x` where `x != 0` is _______

Q 11.4 | Page 15 | view solution

Fill in the blanks.

The product of two rational numbers is always a ________.

Q 11.5 | Page 15 | view solution

Fill in the blanks

The reciprocal of a positive rational number is ________.

Q 11.6 | Page 15 | view solution

Page 20

Represent these numbers on the number line

`7/4`

Q 1.1 | Page 20 | view solution

Represent these numbers on the number line.

`-5/6`

Q 1.2 | Page 20 | view solution

Represent `(-2)/11, (-5)/11, (-9)/11` on the number line.

Q 2 | Page 20 | view solution

Represent `(-2)/11, (-5)/11, (-9)/11` on the number line.

Q 2 | Page 20 | view solution

Write five rational numbers which are smaller than 2.

Q 3 | Page 20 | view solution

Find ten rational numbers between `(-2)/5` and `1/2`

Q 4 | Page 20 | view solution

Find five rational numbers between `2/3 " and " 4/5`

Q 5.1 | Page 20 | view solution

Find five rational numbers between `(-3)/2 " and " 5/3`

Q 5.2 | Page 20 | view solution

Find five rational numbers between `1/4 " and " 1/2`

Q 5.3 | Page 20 | view solution

Write five rational numbers greater than − 2

Q 6 | Page 20 | view solution

Find ten rational numbers between `3/5 " and " 3/4`

Q 7 | Page 20 | view solution

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