Question

Sort the followings in ascending order from top to bottom.

• A. $5\times \frac{3}{4}$
• B. $5\times \frac{2}{2}$
• C. $5\times \frac{4}{3}$
• D. $5\times 0$

Answer 1

In all the products $5\times \frac{3}{4},5\times 0,5\times \frac{2}{2},5\times \frac{4}{3}$,

Concept: Multiplying a number by a number (less than $1$) results in a number less than the original number.
$\because \frac{3}{4}<1\Rightarrow 5\times \frac{3}{4}<5$

Concept: Multiplying a number by $1$ results in same number.
$\because \frac{2}{2}=1\Rightarrow 5\times \frac{2}{2}=5$

Concept: Multiplying a number by a number (greater than $1$) results in a number greater than the original number.
$\because \frac{4}{3}>1\Rightarrow 5\times \frac{4}{3}>5$

$5\times \frac{3}{4}<5\times \frac{2}{2}<5\times \frac{4}{3}$




$\because 0<\frac{3}{4}\Rightarrow 5\times 0<5\times \frac{3}{4}$

Ascending Order of the numbers is
$5\times 0<5\times \frac{3}{4}<5\times \frac{2}{2}<5\times \frac{4}{3}$