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MATHS 1 Marks Question

Rational Numbers · Gujarat Board (GSEB) STD 7 (GSEB - English Medium). 69 questions.

Questions · Page 2 of 2

1 Marks Question

Question 511 Mark
Write four more rational numbers in each of the following patterns:
$\frac{-1}{4}, \frac{-2}{8}, \frac{-3}{12}, \ldots$
Answer
$\frac{-4}{16}, \frac{-5}{20}, \frac{-6}{24}$ and $\frac{-7}{28}$
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Question 521 Mark
List five rational numbers between:
$-\frac{1}{2}$ and $\frac{2}{3}$
Answer
$\frac{-2}{6}, \frac{-1}{6}, 0, \frac{1}{6}, \frac{2}{6}$
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Question 531 Mark
List five rational numbers between:
-2 and -1
Answer
$\frac{-11}{6}, \frac{-5}{3}, \frac{-3}{2}, \frac{-4}{3}$ and $\frac{-7}{6}$.
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Question 541 Mark
Form a rational number with numerator and denominator given below.
-2,-7
Answer
Given numerator and denominator are -2 and-7. 
So, rational number will be $\frac{-2}{-7}$ i.e $\frac{2}{7}$.
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Question 551 Mark
Form a rational number with numerator and denominator given below.
3,5
Answer
Given numerator and denominator are 3 and 5. 
So, rational number will be $\frac{3}{5}$.
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Question 561 Mark
Simplify
$1÷\left(-\frac{1}{2}\right)$
Answer
$1÷\left(-\frac{1}{2}\right)$
The reciprocal of $\left(\frac{-1}{2}\right)$ is $\frac{2}{-1}$.
So, $\frac{1}{1} \times \frac{2}{-1}=\frac{1 \times 2}{1 \times(-1)}=\frac{2}{-1}=-2$
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Question 571 Mark
Simplify
$\frac{3}{7}÷\left(\frac{21}{-55}\right)$
Answer
Given,$\frac{3}{7}÷\left(\frac{21}{-55}\right)$
The reciprocal of $\frac{21}{-55}$ is $\frac{-55}{21}$
So, $\frac{3}{7} \times \frac{(-55)}{21}=\frac{(-55) \times 3}{7 \times 21}=\frac{-55}{49}$
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Question 581 Mark
Write the following as rational numbers in their standard forms.
$-6 \frac{3}{7}$
Answer
Given, $-6 \frac{3}{7}=-\left(\frac{6 \times 7+3}{7}\right)=\frac{-45}{7}$
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Question 591 Mark
Write the following as rational numbers in their standard forms.
1.2
Answer
Given $1.2=\frac{12}{10}=\frac{12 \div 2}{10 \div 2}=\frac{6}{5}$
$[\because$ HCF of 12 and $10=2]$
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Question 601 Mark
Which of these are negative rational numbers/positive rational numbers?
$\frac{-3}{-11}$
Answer
$\frac{-3}{-11}$ is a positive rational number.
$\because$ Both 3 and 11 have negative signs.
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Question 611 Mark
Which of these are negative rational numbers/positive rational numbers?
$\frac{2}{-7}$
Answer
$\frac{2}{-7}$ a negative rational number.
$\because$ 7 has negative sign.
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Question 621 Mark
Which of these are negative rational numbers/positive rational numbers?
$\frac{9}{11}$
Answer
$\frac{9}{11}$ is a positive rational number.
$\because$ Both 9 and 11 have positive signs.
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Question 631 Mark
Which of these are negative rational numbers/positive rational numbers?
$\frac{-3}{4}$
Answer
$\frac{-3}{-4}$ a negative rational number.
$\because$ 3 has negative sign.
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Question 641 Mark
Express the following rational numbers with positive denominator.
$\frac{5}{-6}$
Answer
Given $\frac{5}{-6}$
Rational number with positive denominator is $\frac{-5}{-6}$
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Question 651 Mark
Express the following rational numbers with positive denominator.
$\frac{-4}{-5}$
Answer
Given $\frac{-4}{-5}$
Rational number with positive denominator is $\frac{4}{5}$.
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Question 661 Mark
Express $\frac{-3}{5}$ as a rational number with
numerator 21
Answer
with numerator 21,
$\frac{-3 \times(-7)}{5 \times(-7)}=\frac{21}{-35}$
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Question 671 Mark
Express $\frac{-3}{5}$ as a rational number with
numerator-18
Answer
with numerator-18,
$\frac{-3 \times 6}{5 \times 6}=\frac{-18}{30}$
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Question 681 Mark
Express $\frac{-3}{5}$ as a rational number with
numerator 9
Answer
with numerator 9,
$\frac{-3 \times(-3)}{5 \times(-3)}=\frac{9}{-15}$
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Question 691 Mark
Express $\frac{-3}{5}$ as a rational number with
numerator-15
Answer
with numerator-15,
$\frac{-3 \times 5}{5 \times 5}=\frac{-15}{25}$
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1 Marks Question - Page 2 - MATHS STD 7 Questions - Vidyadip