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MATHS 1 Marks Question

Operations On Rational Numbers · Gujarat Board (GSEB) STD 7 (GSEB - English Medium). 32 questions.

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Question 11 Mark
Fill in the blanks.$\dots+\frac{15}{23}=4$
Answer
$\frac{77}{23}+\frac{15}{23}=4$
$\text{x}+\frac{15}{23}=4$
$\Rightarrow\text{x}=\frac{4\times23}{1\times23}-\frac{15}{23}$
$\Rightarrow\text{x}=\frac{92}{23}-\frac{15}{23}$
$\Rightarrow\text{x}=\frac{92-15}{23}$
$\Rightarrow\text{x}=\frac{77}{23}$
$\frac{77}{23}+\frac{15}{23}=4$
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Question 31 Mark
Fill in the blanks.$\frac{-7}{9}+\dots=3$
Answer
$\frac{-7}{9}+\frac{34}{9}=3$
$\frac{-7}{9}+\text{x}=3$
$\Rightarrow\text{x}=3-\frac{-7}{9}$
$\Rightarrow\text{x}=\frac{3\times9}{1\times9}-\frac{-7}{9}$
$\Rightarrow\text{x}=\frac{27}{9}-\frac{7}{9}$
$\Rightarrow\text{x}=\frac{27+7}{9}$
$\Rightarrow\text{x}=\frac{34}{9}$
$\frac{-7}{9}+\frac{34}{9}=3$
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Question 41 Mark
Divide:
$1\text{ by }\frac{1}{2}$
Answer
$1\text{ by }\frac{1}{2}$
$1\div\frac{1}{2}$
$=1\times2$
$=2$
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Question 51 Mark
State true or false: Between any two distinct rational numbers there are infinitely many rational numbers.
Answer
True.
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Question 61 Mark
Fill in the blanks.$\frac{-4}{13}-\frac{-3}{26}=\dots$
Answer
$\frac{-4}{13}-\frac{-3}{26}=\frac{-5}{26}$
$\frac{-4}{13}-\frac{-3}{26}=\frac{-4\times2}{13\times2}-\frac{-3}{26}$
$=\frac{-8+3}{26}$
$=\frac{-5}{26}$
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Question 71 Mark
Fill in the blanks.$\frac{-9}{14}+\dots=-1$
Answer
$\frac{-9}{14}+\frac{-5}{14}=-1$
$\text{x}=-1-\Big(\frac{-9}{14}\Big)$
$\Rightarrow\text{x}=\frac{-1\times14}{1\times14}-\Big(\frac{-9}{14}\Big)$
$\Rightarrow\text{x}=-\frac{14}{14}-\Big(\frac{-9}{14}\Big)$
$\Rightarrow\text{x}=\frac{-14+9}{14}$
$\Rightarrow\text{x}=\frac{-5}{14}$
$\frac{-9}{14}+\frac{-5}{14}=-1$
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Question 81 Mark
State true or false: Between any two distinct rational numbers there is always a rational number.
Answer
True.
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Question 291 Mark
Subtract the first rational number from the second in the following:
$\frac{11}{13}, \frac{-4}{13}$
Answer
$\frac{-15}{13}$
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Question 301 Mark
Subtract the first rational number from the second in the following:
$\frac{-2}{11}, \frac{-9}{11}$
Answer
$\frac{-7}{11}$
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Question 311 Mark
Subtract the first rational number from the second in the following:
$\frac{-7}{9}, \frac{4}{9}$
Answer
$\frac{11}{9}$
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Question 321 Mark
Subtract the first rational number from the second in the following:
$\frac{3}{8}, \frac{5}{8}$
Answer
$\frac{1}{4}$
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