Writing Rational Numbers as Decimals

Q.

Write the following in decimal form and say what kind of decimal expansion it has $\frac{36}{100}$

Q.

Write five rational numbers greater than $-2$?

Q.

How is $\frac{12}{25}$ represented as a decimal?

1. 0.048

2. 48

3. 0.48

4. 4.8

Q.

To reduce a rational number to its standard form, we divide its numerator and denominator by their

(a) LCM

(b) HCF

(c) Product

(d) Multiple

Q.

Write the fraction $\frac{12}{125}$ as decimal.

Q.

The binary number expression of the decimal number$31$ is

1. $1111$

2. $10111$

3. $11011$

4. $11111$

Q.

Write Fifteen and twenty-five thousandths as decimal.

Q.

Let $x=\frac{p}{q}$ be a rational number, such that the prime factorisation of $q$ is not of the form $2^m{5}^n$, where $n,m$ are non-negative integers. Then, $x$ has a decimal expansion which is

1. Non-terminating repeating (recurring)

2. Terminating non-repeating (non-recurring)

3. Real integer

4. None of these

Q.

Write the following in decimal form and say what kind of decimal expansion it has:

1. $0.36,$ Terminating
2. $0.36,$ Non-repeating
3. $0.36,$ Recurring
4. None of these

Q.

Write each of the following as decimals: $\left(d\right)70+\frac{8}{10}$

Q. Simplify: $\frac{-3}{5}\times \left(\frac{-10}{9}\right)\times \left(\frac{21}{-4}\right)\times (-6)$ [3 MARKS]

Q.

Express each decimal as a percent:

$0.4$.

Q.

Write the fraction $\frac{9}{40}$ as decimal.

Q.

Convert $\frac{1}{4}$ in decimal form.

1. 25.0

2. 0.25

3. 2.5

4. 1.25

Q.

Find a rational number exactly halfway between

$\frac{1}{6}$ and $\frac{1}{9}$

Q. Express the following in the form $\frac{p}{q}$, where p and q are integers and $q\ne 0$.
(i) $0.\overline{47}$
(ii) $0.\overline{001}$
(iii) $0.5\overline{7}$
(iv) $0.2\overline{45}$
(v) $0.\overline{6}$
(vi) $1.\overline{5}$.

Q.

Question 4(iv)
Identify the greater number, wherever possible, in each of the following:
(iv) ${100}^{2}or{2}^{100}$

Q.

$\frac{33}{-55}$ in standard form is:

Q.

Question 93 (c)

Find a rational number exactly halfway between
$\frac{5}{-13}and\frac{-7}{9}$

Q.

Convert each of the following decimals into fraction in lowest terms;

$0.075$

Q.

If 14 is the HCF of 4p and 21q, then minimum value of p and q is:

1. 1

2. 2

3. 2, x

4. No common factors exist

Q.

Which of the following rational numbers is a non-terminating and repeating decimal?

1. $\frac{7}{25}$

2. $\frac{17}{36}$

3. $\frac{3}{250}$

4. $\frac{17}{32}$

Q.

Express Seventy-one thousandths as decimal.

Q.

Express each decimal as a percent:

$8.75$.

Q. The decimal expansion of the rational number $\frac{14587}{1250}$ will terminate after

1. one decimal place
2. two decimal places
3. three decimal places
4. four decimal places

Q.

Assertion: In $\Delta ABC$, E and F are the mid-points of AC and AB respectively. The altitude AP intersect BC at P and FE at Q. Then AQ = QP.

Reason: Q is the mid - point of AP.

Which of the following is correct?

1. Both the assertion and the reason are true and the reason is the correct explanation for the assertion

2. Both the assertion and the reason are true but the reason is not the correct explanation for the assertion

3. The assertion is true and the reason is false

4. The assertion is false and the reason is true

Q. Express $1.\overline{3}$ in the form of $\frac{p}{q}$.

1. $\frac{7}{6}$
2. $\frac{4}{3}$
3. $\frac{5}{4}$
4. $\frac{6}{5}$

Q. Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

1. $\frac{13}{3125}$
2. $\frac{17}{8}$
3. $\frac{64}{455}$
4. $\frac{15}{1600}$

Q.

Express each decimal as a percent:

$0.23$.

Q.

Write Seventeen hundred forty-six and nineteen-thousandths as decimal.