Rational Numbers in Standard Form

Q.

The Rational Numbers that is equal to its negative is

Q.

Question 70 (i)

Express the following rational number in its standard form:
$\frac{-12}{-30}$

Q.

Question 70 (ii)

Express the following rational number in its standard form:
$\frac{14}{-49}$

Q.

Question 70 (iv)

Express the following rational number in its standard form:
$\frac{299}{-161}$

Q.

Question 07

The standard form of $\frac{-48}{60}$ is

(a) $\frac{48}{60}$

(b) $\frac{-60}{48}$

(c) $\frac{-4}{5}$

(d) $\frac{-4}{-5}$

Q.

Question 70 (iii)

Express the following rational number in its standard form:
$\frac{-15}{35}$

Q.

Question 92 (a)

Write the following as rational number in their standard forms.
35%

Q.

Question 69 (ii)

Reduce the following rational number in its lowest form.
$\frac{91}{-364}$

Q.

Question 92 (b)

Write the following as rational number in their standard forms.
1.2

Q.

Write the following rational numbers with positive denominators.

$\frac{5}{-13}$

Q.

Write the following rational numbers with positive denominators.

$\frac{8}{-18}$

Q.

Define Rational Number. [1 MARK]

Q. Write each of the following rational numbers in standard form:

(i) $\frac{35}{49}$
(ii) $\frac{8}{-36}$
(iii) $\frac{-27}{45}$
(iv) $\frac{-14}{-49}$
(v) $\frac{91}{-78}$
(vi) $\frac{-68}{119}$
(vii) $\frac{-87}{116}$
(viii) $\frac{299}{-161}$

Q.

Convert the decimal number into a mixed fraction: $95.95$

Q. Which of the following rational number is positive?

1. $\frac{-8}{7}$
   
2. $\frac{19}{-13}$
   
3. $\frac{-3}{-4}$
   
4. $\frac{-21}{13}$
   

Q.

Convert the decimal number into a mixed fraction: $3.25$

Q. Write each of the following rational numbers in the standard form:
(i) $\frac{2}{10}$
(ii) $\frac{-8}{36}$
(iii) $\frac{4}{-16}$
(iv) $\frac{-15}{-35}$
(v) $\frac{299}{-161}$
(vi) $\frac{-63}{-210}$
(vii) $\frac{68}{-119}$
(viii) $\frac{-195}{275}$

Q.

A number of the form $\frac{p}{q}$ is said to be a rational number if ____________________.

1. p and q are integers and $q\ne 0$

2. p and q are integers and $p\ne 0$

3. p and q are integers and $p\ne 0,q\ne 0$

4. p and q are integers

Q. Find:
$2.48÷4$

Q.

Question 10

In the standard form of a rational number, the denominator is always a

(a) 0

(b) negative integer

(c) positive integer

(d) 1

Q.

Question 16

Fill in the blanks to make the statement true.

The standard form of$\frac{18}{-24}$ is ___ .

Q.

Evaluate the expression $24-3^3$

Q. Express each of the following rational numbers in standard form:

(i) $\frac{-209}{247}$
(ii) $\frac{-46}{115}$
(iii) $\frac{84}{-147}$

Q.

Write the following rational numbers with positive denominators.

$-\left(\frac{3}{8}\right)$

Q. What type of a number is $-\frac{3}{0}$?

1. Either a positive or negative rational number
2. Neither a positive or negative rational number
3. A positive rational number
4. A negative rational number

Q.

If the product of two whole numbers is $1$, then both of them will be $1$.

1. True
2. False

Q.

Jimmy learnt the concepts of mixed fractions and improper fractions. He had a thought and wanted to confirm it with his teacher. He wrote the following steps on a paper:

$9\frac{3}{4}=9+\frac{3}{4}=(8+1)+\frac{3}{4}=8+(1+\frac{3}{4})=8+\frac{7}{4}=8\frac{7}{4}$

Jimmy says that $8\frac{7}{4}$ is a mixed fraction. Choose the correct option(s):

1. Jimmy is correct because the math he had done has no errors

2. Jimmy is incorrect because the whole number part and the fractional parts are not numerically the same in both the fractions

3. 

4. 

Q.

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

$0$ is the smallest rational number.

1. True
2. False

Q.

Bill met a couple of friends from the “House of Rational Numbers, Q”. They claimed to be unharmed by The Reciprocus. Bill challenged both of them to prove their claim. These occupants went to the temple, entered and exited the temple, with no effect on them! The Reciprocus had no effect on these occupants!

How many occupants could be in that group? (Enter the numerical value)

___

Q. Which of the following numbers is in standard form?

(a) 32.63 × 10⁴
(b) 326.3 × 10³
(c) 3.263 × 10⁵
(d) none of these