Question

Show that 15 /2 is terminating expansion
Pls find it ​

Answer 1

yes show that 15/2 terminating

Answer 2

SOLUTION

TO PROVE

$\displaystyle \sf{ \frac{15}{2} }$ has terminating expansion

CONCEPT TO BE IMPLEMENTED

$\displaystyle\sf{Fraction = \frac{Numerator}{Denominator} }$

A fraction is said to be terminating if prime factorisation of the denominator contains only prime factors 2 and 5

If the denominator is of the form

$\sf{Denominator = {2}^{m} \times {5}^{n} }$

Then the fraction terminates after N decimal places

Where N = max { m , n }

EVALUATION

Here the given number = $\displaystyle \sf{ \frac{15}{2} }$

Numerator = 15

Denominator = 2

Since prime factorisation of the denominator contains only prime factors 2

So $\displaystyle \sf{ \frac{15}{2} }$ has terminating expansion

More precisely $\displaystyle \sf{ \frac{15}{2}=7.5 }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ The decimal expansion of 49/2³5³

contains six digits after the decimal point.

https://brainly.in/question/36368731

2. Without actually dividing find which of the following are terminating decimals.

i. 3/25 ii. 11/18 iii. 13/20 iv. 41/42

https://brainly.in/question/135746

3. without actually performing the long division state whether 13/3125 and 13/343 will have a terminating decimal expansion...

https://brainly.in/question/23797327