Question
Show the following numbers on a number line. Draw a separate number line for each example.
$\frac{7}{5}, \frac{-2}{5}, \frac{-4}{5}$
✓
Answer
$\frac{7}{5}, \frac{-2}{5}, \frac{-4}{5}$
Here, the denominator of each fraction is 5.
∴ Each unit will be divided into 5 equal parts.
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How many bricks of length 25 cm , breadth 15 cm and height 10 cm are required to build a wall of length 6 m , height 2.5 m and breadth 0.5 m ?
Given: For the cuboidal shape brick:
$\text { length }\left(l_1\right)=25 cm$
$\text { breadth }\left(b_1\right)=15 cm$
$\text { height }\left(h_1\right)=10 cm$
For the cuboidal shape wall:
$\text { length }\left(I_2\right)=6 m \text {, }$
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To find: Number of bricks required
→Given: For the cuboidal shape brick:
$\text { length }\left(l_1\right)=25 cm$
$\text { breadth }\left(b_1\right)=15 cm$
$\text { height }\left(h_1\right)=10 cm$
For the cuboidal shape wall:
$\text { length }\left(I_2\right)=6 m \text {, }$
height $\left( h _2\right)=2.5 m$,
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Multiply:
$[-3 d+(-7 f)] \text { by }(5 d+f)$
→$[-3 d+(-7 f)] \text { by }(5 d+f)$
Using commutativity and associativity of addition of rational numbers, express the following as a rational number:
$\frac{3}{7}+\frac{-4}{9}+\frac{-11}{7}+\frac{7}{9}$
→$\frac{3}{7}+\frac{-4}{9}+\frac{-11}{7}+\frac{7}{9}$
Re-arrange suitably and find the sum in the following:
$\frac{1}{8}+\frac{5}{12}+\frac{2}{7}+\frac{7}{12}+\frac{9}{7}+\frac{-5}{16}$
→$\frac{1}{8}+\frac{5}{12}+\frac{2}{7}+\frac{7}{12}+\frac{9}{7}+\frac{-5}{16}$