A rational number - 2 3 is

Lies to the left side of 0 on the number line.

Lies to the right side of 0 on the number line.

Is not possible to represent on the number line.

E M B I B E

IMO Olympiad Work Book 7>Chapter 9 - Rational Numbers>Exercise>Q 20

EASY

7th Foundation

IMPORTANT

Earn 100

State 'T' for true and 'F' for false.

(i) Every rational number can be expressed with a positive numerator.

(ii) Rational numbers $\frac{- 11}{5}$ , $\frac{1}{6}$ , $\frac{3}{10}$ , $\frac{6}{15}$ are arranged in ascending order.

(iii) $(\frac{8}{5} \times \frac{- 3}{2}) +$ $(\frac{3}{10} \times \frac{11}{8})$ can be expressed as $(- 1 \frac{79}{80})$ .

(iv) $\frac{15}{10}$ and $\frac{12}{8}$ are equivalent rational numbers.

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Important Questions on Rational Numbers

EASY

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 9 - Rational Numbers>Exercise>Q 1

For any two rational numbers

x

and

y

which of the following is/are correct, if

x

is positive and

y

is negative ?
(1)

x < y

(2)

x = y

(3)

x > y

EASY

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 9 - Rational Numbers>Exercise>Q 2

Which of the following statements is true?

MEDIUM

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 9 - Rational Numbers>Exercise>Q 3

The average of the two middle rational numbers if

\frac{4}{7}, \frac{1}{3}, \frac{2}{3}, \frac{5}{9}

are arranged in ascending order is ________.

EASY

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 9 - Rational Numbers>Exercise>Q 4

The product of two rational numbers is

- \frac{9}{16}

. If one of the numbers is

- \frac{4}{3}

, then the other number is _________.

EASY

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 9 - Rational Numbers>Exercise>Q 5

A rational number

- \frac{2}{3}

is

EASY

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 9 - Rational Numbers>Exercise>Q 6

If

p :

every fraction is a rational number and

q :

every rational number is a fraction, then which of the following options hold?

HARD

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 9 - Rational Numbers>Exercise>Q 7

if

\frac{x}{y} = \frac{9}{8}

, then the value of

\frac{6}{7} + \frac{(y - x)}{(y + x)}

equals

EASY

7th Foundation

IMPORTANT

IMO Olympiad Work Book 7>Chapter 9 - Rational Numbers>Exercise>Q 8

\frac{5}{8}

is the rational number between

\frac{3}{4}

and

\frac{1}{2}

. Which of the following is not a rational number between

\frac{3}{4}

and

\frac{1}{2}

?

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$(i)$	$(ii)$	$(iii)$	$(iv)$
F	F	F	T

$(i)$	$(ii)$	$(iii)$	$(iv)$
F	T	F	T

$(i)$	$(ii)$	$(iii)$	$(iv)$
T	T	T	T

$(i)$	$(ii)$	$(iii)$	$(iv)$
T	T	F	T

State 'T' for true and 'F' for false. (i) Every rational number can be expressed with a positive numerator. (ii) Rational numbers -115, 16, 310, 615 are arranged in ascending order. (iii) 85×-32+ 310×118can be expressed as (-17980). (iv) 1510 and 128 are equivalent rational numbers.

Important Questions on Rational Numbers

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