Standard Form of Rational Numbers

Q.

Is zero a rational number? Justify your answer.

Q.

Can we write $0$ in the form of $\frac{\mathrm{p}}{\mathrm{q}}$?

Q.

Write down the rational number whose numerator is the smallest four digit number and denominator is the largest five digit number.

1. $\frac{1000}{99999}$

2. $\frac{1000}{99900}$

3. $\frac{9999}{99999}$

4. $\frac{1000}{10000}$

Q. The standard form of the rational number $\frac{68}{-119}$ is

1. $\frac{4}{7}$
2. $\frac{5}{7}$.
3. $\frac{-4}{7}$.
4. $\frac{-5}{7}$.

Q. The standard form of the rational number $\frac{33}{-44}$ is

1. $\frac{3}{4}$
2. $\frac{1}{4}$
3. $\frac{-3}{4}$
4. $\frac{-1}{4}$

Q.

Question 18

Which of the following has the largest value?
(a) 0.0001
(b) $\frac{1}{10000}$
(c) $\frac{1}{{10}^6}$
(d) $\frac{1}{{10}^6}÷0.1$

Q.

If $\frac{p}{q}$ is a rational number, then $p$ cannot be equal to zero.

State whether the statement is true (T) or false (F).

1. True
2. False

Q.

Find the value and express as a rational number in standard form:

(i) (2/5) ÷ (26/15)

(ii) (10/3) ÷ (-35/12)

Q. The standard form of the rational number $\frac{-12}{44}$ is

1. $\frac{-3}{11}$
2. $\frac{3}{11}$
3. $\frac{-2}{11}$
4. $\frac{2}{11}$

Q. The standard form of the rational number $\frac{5}{9}$ is itself.

1. True
2. False

Q.

Classify the following numbers as rational or irrational:

$-\frac{2}{3}$

Q. Which of the following is/are rational numbers?

1. 2
2. 2.5
3. $\frac{4}{5}$
4. 3.33333......

Q.

State true or false.
$\frac{1}{0}$ is a defined quantity.

1. True
2. False

Q.

Question 15

Fill in the blanks to make the statement true.

The standard form of $\frac{-8}{-36}$ is ___ .

Q.

Simplify.

$\frac{2}{-7}\times \frac{63}{-100}$

Q. $\frac{1}{0}$ is a defined quantity.

1. False
2. True

Q. $\frac{7}{6}\times \frac{-3}{28}$

Q.

Simplify.

$\frac{7}{-18}\times \frac{4}{21}$

Q. The standard form of $\frac{-20}{-25}$ is

1. $-\frac{5}{4}$
2. $\frac{4}{5}$
3. $\frac{5}{4}$
4. $-\frac{4}{5}$

Q.

What is the rational number whose numerator is the largest 3-digit natural number and the denominator is the smallest 5-digit whole number?

1. $\frac{999}{10001}$

2. $\frac{990}{10000}$

3. $\frac{999}{10000}$

4. $\frac{999}{00001}$

Q.

What is the Rational number whose numerator is the largest 3 digit natural number and the denominator is the smallest 5 digit whole number?

1. $\frac{999}{00001}$

2. $\frac{999}{10001}$

3. $\frac{990}{10000}$

4. $\frac{999}{10000}$

Q. Every integer 'a' is a rational number as 'a' can be expressed as $\frac{a}{1}$.

1. True
2. False

Q. For a rational number in its standard form, the H.C.F. of its numerator and denominator is

1. 1
2. a multiple of 2
3. a multiple of 10
4. 10

Q. The rational of the form 'p/q' can be a fraction if 'q' is a/an _________.

1. natural number
2. integer
3. rational number
4. whole number

Q.

Simplify .

$\frac{5}{12}\times \frac{-18}{-25}$