Question

Without actual division show that 33/50 is a terminating decimal

Answer 1

Answer:

33/50

33/5×5×2

let p/q be the simplest form of a given rational number.

if q=(2m×5n) for some non-negative integers m and n then p/q is a terminating decimal.

Answer 2

It is showed  that without actual division $\frac{33}{50}$  is a terminating decimal.

Step-by-step explanation:

Given:

Fraction $\frac{33}{50}$.

To Find:

It is to be showed  that without actual division $\frac{33}{50}$  is a terminating decimal.

Solution:

As given- Fraction $\frac{33}{50}$.

$\frac{33}{50}=\frac{33}{25\times2}$

    $=\frac{33}{5^{2} \times2^{1} }$  

Since the denominator of the given fraction can be expressed in the form of $2^{m} \times 5^{n}$ .Therefore,it is a terminating decimal.

$\frac{33}{50}=\frac{33\times2}{50\times2}$

    $=\frac{66}{100} =0.66$      

It is terminating decimal.

Thus, It is showed  that without actual division $\frac{33}{50}$  is a terminating decimal.

PROJECT CODE#SPJ2