Questions · Page 2 of 3

1 Marks Question

Question 511 Mark
Write the following integers as a rational number. Write the numerator and denominator in each case.

-23

Answer
self
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Question 521 Mark
Write the following integers as a rational number. Write the numerator and denominator in each case.

1

Answer
$1=\frac{1}{1},$ numerator = 1, denominator = 1
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Question 531 Mark
Write the following integers as a rational number. Write the numerator and denominator in each case.

0

Answer
$0=\frac{0}{1},$ numerator = 0, denominator = 1
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Question 541 Mark
Write the following integers as a rational number. Write the numerator and denominator in each case.
5
Answer
$5=\frac{5}{1},$ numerator = 5, denominator = 1
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Question 551 Mark
Write the following as a rational number with positive denominator:
$\frac{-8}{-19}$
Answer
$\frac{-8}{-19}=\frac{(-1)\times(-8)}{(-1)\times(-19)}=\frac{8}{19}$
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Question 571 Mark
Write the following as a rational number with positive denominator:
$\frac{12}{-17}$
Answer
$\frac{12}{-17}=\frac{(-1)\times12}{(-1)\times(-17)}=\frac{-12}{17}$
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Question 581 Mark
Write the following as a rational number with positive denominator:
$\frac{11}{-6}$
Answer
$\frac{11}{-6}=\frac{(-1)\times11}{(-1)\times(-6)}=\frac{-11}{6}$
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Question 591 Mark
Write down the numerator and the denominator of the following rational numbers:
$\frac{8}{19}$
Answer
self
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Question 601 Mark
Write down the numerator and the denominator of the following rational numbers:
$\frac{-8}{11}$
Answer
Numerator = -8, denominator = -11
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Question 611 Mark
Write down the numerator and the denominator of the following rational numbers:
$\frac{5}{-8}$
Answer
Numerator = 5, denominator = -8
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Question 621 Mark
Write down the numerator and the denominator of the following rational numbers:
$\frac{-13}{15}$
Answer
self
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Question 631 Mark
Write down the numerator and the denominator of the following rational numbers:
9
Answer
Numerator = 9, denominator = 1
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Question 641 Mark
Which of the two rational numbers is greater in the following pairs?
$\frac{7}{9}\text{ or }\frac{-5}{9}$
Answer
$\frac{7}{9}\text{ or }\frac{-5}{9},\frac{7}{9}$ is greater as any positive number is greater than any negative number.
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Question 651 Mark
Which of the two rational numbers is greater in the following pairs?
$\frac{5}{8}\text{ or }\frac{3}{8}$
Answer
self
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Question 661 Mark
Which of the two rational numbers is greater in the following pairs?
$\frac{5}{6}\text{ or }0$
Answer
$\frac{5}{6}\text{ or }0\frac{5}{6}$ is greater as any positive number is always greater than 0.
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Question 671 Mark
Which of the two rational numbers is greater in the following pairs?
$\frac{-3}{5}\text{ or }0$
Answer
self
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Question 681 Mark
Which of the two rational numbers is greater in the following pairs?
$\frac{-15}{4}\text{ or }\frac{-17}{4}$
Answer
self
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Question 691 Mark
Which of the following are rational number?
$\frac{-8}{-12}$
Answer
$\frac{-8}{-12}$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$
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Question 701 Mark
Which of the following are rational number?
$\frac{-6}{11}$
Answer
$\frac{6}{11}$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$
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Question 721 Mark
Which of the following are rational number?
$\frac{-13}{15}$
Answer
$\frac{-13}{15}$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$
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Question 731 Mark
Which of the following are rational number?
$\frac{1}{0}$
Answer
$\frac{1}{0}$ is not a rational number because, here $\text{q}=0$
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Question 741 Mark
Which of the following are rational number?
$\frac{0}{1}$
Answer
$\frac{0}{1}$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$
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Question 751 Mark
Which of the following are rational number?
$\frac{0}{0}$
Answer
$\frac{0}{0}$ is not a rational number because, here $\text{q}=0$
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Question 761 Mark
Which of the following are rational number?
$0=\frac{0}{1}$
Answer
$0=\frac{0}{1}$ is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$
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Question 771 Mark
Which of the following are rational number?
6
Answer
6 is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$
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Question 781 Mark
Which of the following are rational number?
-3
Answer
-3 is a rational number because it is in the form of $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0$
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Question 791 Mark
Which of the following are pairs of equivalent rational number?
$\frac{2}{3},\frac{3}{2}$
Answer
$\frac{2}{3},\frac{3}{2}$
There are not equivalent rational numbers.
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Question 811 Mark
Multiply:
$\frac{7}{6}\text{ by }24$
Answer
$\frac{7}{6}\text{ by }24$
$=\frac{7}{6}\times\frac{24}{1}$
$=\frac{7\times4}{1\times1}$
$=\frac{28}{1}=28$
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Question 821 Mark
Multiply:
$\frac{3}{4}\text{ by }\frac{5}{7}$
Answer
$\frac{3}{4}\text{ by }\frac{5}{7}$
$=\frac{3}{4}\times\frac{5}{7}$
$=\frac{3\times5}{4\times7}$
$=\frac{15}{28}$
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Question 871 Mark
Find the multiplicative inverse, or reciprocal of the following:
18
Answer
Reciprocal of $18=\frac{1}{18}$
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Question 921 Mark
Find four rational numbers equivalent to the following:
$\frac{7}{-15}$
Answer
Equivalent rational numbers are given below:

$\frac{7}{-15}=\frac{14}{-30},\frac{21}{-45},\frac{28}{-60},\frac{35}{-75}$

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Question 931 Mark
Find four rational numbers equivalent to the following:
$\frac{6}{11}$
Answer
Equivalent rational numbers are given below:

$\frac{6}{11}=\frac{12}{22},\frac{18}{33},\frac{24}{44},\frac{30}{55}$

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Question 971 Mark
Express the following rational numbers as the sum of an integer and a rational number:
$\frac{-25}{9}$
Answer
$\frac{-25}{9}=\Big(-2\frac{7}{9}\Big)=-2+\Big(\frac{-7}{9}\Big)$
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Question 981 Mark
Express the following rational numbers as the sum of an integer and a rational number:
$\frac{12}{5}$
Answer
self
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Question 991 Mark
Express the following rational numbers as the sum of an integer and a rational number:
$\frac{-11}{7}$
Answer
$\frac{-11}{7}=\Big(-1\frac{4}{7}\Big)=-1+\Big(\frac{-4}{7}\Big)$
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Question 1001 Mark
Express the following rational numbers as the sum of an integer and a rational number:
$\frac{-103}{20}$
Answer
$\frac{-103}{20}=\Big(-5\frac{3}{20}\Big)=-5+\Big(\frac{-3}{20}\Big)$
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