1 Mark Question

Question 11 Mark

Fill in the blanks.$\dots+\frac{15}{23}=4$

Answer

$\frac{77}{23}+\frac{15}{23}=4$Solution:
$\text{x}+\frac{15}{23}=4$ $\Rightarrow\text{x}=\frac{4\times23}{1\times23}-\frac{15}{23}$ $\Rightarrow\text{x}=\frac{92}{23}-\frac{15}{23}$ $\Rightarrow\text{x}=\frac{92-15}{23}$ $\Rightarrow\text{x}=\frac{77}{23}$ $\frac{77}{23}+\frac{15}{23}=4$

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Question 21 Mark

State true or false:
Between any two distinct integers there is always an integer.

Answer

False.

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Question 31 Mark

Fill in the blanks.$\frac{-7}{9}+\dots=3$

Answer

$\frac{-7}{9}+\frac{34}{9}=3$Solution:
$\frac{-7}{9}+\text{x}=3$ $\Rightarrow\text{x}=3-\frac{-7}{9}$ $\Rightarrow\text{x}=\frac{3\times9}{1\times9}-\frac{-7}{9}$ $\Rightarrow\text{x}=\frac{27}{9}-\frac{7}{9}$ $\Rightarrow\text{x}=\frac{27+7}{9}$ $\Rightarrow\text{x}=\frac{34}{9}$ $\frac{-7}{9}+\frac{34}{9}=3$

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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

$\frac{-4}{13}-\frac{-3}{26}=\frac{-5}{26}$Solution:
$\frac{-4}{13}-\frac{-3}{26}=\frac{-4\times2}{13\times2}-\frac{-3}{26}$ $=\frac{-8+3}{26}$ $=\frac{-5}{26}$

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Question 71 Mark

Fill in the blanks.$\frac{-9}{14}+\dots=-1$

Answer

$\frac{-9}{14}+\frac{-5}{14}=-1$Solution:
$\text{x}=-1-\Big(\frac{-9}{14}\Big)$ $\Rightarrow\text{x}=\frac{-1\times14}{1\times14}-\Big(\frac{-9}{14}\Big)$ $\Rightarrow\text{x}=-\frac{14}{14}-\Big(\frac{-9}{14}\Big)$ $\Rightarrow\text{x}=\frac{-14+9}{14}$ $\Rightarrow\text{x}=\frac{-5}{14}$ $\frac{-9}{14}+\frac{-5}{14}=-1$

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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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Maths 1 Mark Question

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