Sample QuestionsRational Numbers questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Subtract the first rational number from the second in the following:
$\frac{-7}{9},\frac{4}{9}$
View full solution →Simplify:
$1+\frac{-4}{5}$
View full solution →Find ten rational number between $\frac{-2}{5}$ and $\frac{1}{2}$.
View full solution →The sum of two numbers is $\frac{-4}3{}.$ If one of the numbers is $-5,$ find the other.
View full solution →Find the multiplicative inverse (reciprocal) of the following rational numbers:
$\frac{-5}{8}\times\frac{16}{15}$
View full solution →Find ten numbers between $\frac{1}{4}$ and $\frac{1}{2}.$
View full solution →$\Big(\frac{8}{5}\times\frac{-3}{2}\Big)+\Big(\frac{-3}{10}\times\frac{11}{16}\Big)$
View full solution →Add the following number:
$\frac{-5}{16}$ and $\frac{-7}{24}$
View full solution →$\Big(\frac{13}{5}\times\frac{8}{3}\Big)-\Big(\frac{-5}{2}\times\frac{11}{3}\Big)$
View full solution →Re-arrange suitably and find the sum in the following:
$\frac{3}{5}+\frac{7}{3}+\frac{9}{5}+\frac{-13}{15}+\frac{-7}{3}$
View full solution →Verify associativity of addition of rational numbers i.e., (x + y) + z = x + (y + z), when:
$\text{x}=-2,\text{y}=\frac{3}{5},\text{z}=\frac{-4}{3}$
View full solution →Verify associativity of addition of rational numbers i.e., (x + y) + z = x + (y + z), when:
$\text{x}=\frac{-7}{11},\text{y}=\frac{2}{-5},\text{z}=\frac{-3}{22}$
View full solution →Verify associativity of addition of rational numbers i.e., (x + y) + z = x + (y + z), when:
$\text{x}=\frac{-2}{5},\text{y}=\frac{4}{3},\text{z}=\frac{-7}{10}$
View full solution →Verify associativity of addition of rational numbers i.e., (x + y) + z = x + (y + z), when:
$\text{x}=\frac{1}{2},\text{y}=\frac{2}{3},\text{z}=-\frac{1}{5}$
View full solution →Verify the property: x × (y × z) = (x × y) × z by taking:
$\text{x}=\frac{1}{2},\text{y}=\frac{5}{-4},\text{z}=\frac{-7}{5}$
View full solution →Verify commutativty of addition of rational numbers for the following pairs of rotional number:
$\frac{4}{9}$ and $\frac{7}{-12}$
View full solution →Find (x + y) ÷ (x − y), if
$\text{x}=\frac{5}{4},\text{y}=\frac{-1}{3}$
View full solution →Verify the property: x × (y × z) = (x × y) × z by taking:
$\text{x}=\frac{-7}{3},\text{y}=\frac{12}{5},\text{z}=\frac{4}{9}$
View full solution →Find (x + y) ÷ (x − y), if
$\text{x}=\frac{2}{5},\text{y}=\frac{1}{2}$
View full solution →Find the multiplicative inverse (reciprocal) of the following rational numbers:
$9$
View full solution →Name the property of multiplication of rational numbers illustrated by the following statements:
$\frac{13}{-17}\times1=\frac{13}{-17}=1\times\frac{13}{-17}$
View full solution →Multiply:
$\frac{-3}{17}\ \text{by}\ \frac{-5}{-4}$
View full solution →Fill in the blanks:
The product of two positive rational numbers is always ______.
Fill in the blanks:
$(17 \times 12)^{-1}=17^{-1} \times$_____.
View full solution →