❤♥️❤ QUESTION⤴️⤴️⤴️PLSS HELP ME!!!! THERE R 2 QUES

1.	❤♥️❤ QUESTION⤴️⤴️⤴️PLSS HELP ME!!!! THERE R 2 QUESTIONS!!!⭐⭐NOTE:- ⚪⚫ NO IRRELEVANT/WRONG ANSWERS!!! DON'T ANSWER IF U R NOT SURE!!✌✌PLSSS MAADAT KARDO NA !!!:) :) ♥️
Answer» Solution :- 1). If LCM if 12 and 42 is 10m + 4 then find the value of 'm' By splitting 12 and 42 in its PRIME factors . 12 = 2² × 3 42 = 2 × 3 × 7 So we have the LCM = 2² × 3 × 7 = 4 × 3 × 7 = 84 So as LCM is of the form 10m + 4 → 84 = 10m + 4 By subtracting 4 from both the sides → 84 - 4 = 10m + 4 - 4 → 80 = 10m →m = 80 ÷ 10 → m = 8 So Value of "m" $\huge{\boxed{\sf{= 8}}}$ ____________________________________ 2. What type of decimal expansion of a number $\dfrac{441}{2^2 \times 5^3 \times 7}$ Have ? LET US reduce it step by step :- $\dfrac{441}{2^2 \times 5^3 \times 7}$ $= \dfrac{7^2\times 3^2\times}{2^2 \times 5^3 \times 7}$ $= \dfrac{ 7 \times 3^2}{10^2 \times 5}$ $= \dfrac{63}{500}$ $= 0.126$ Hence it will have a $\large{\boxed{\textsf{Teminating Decimal Expansion}}}$

❤♥️❤ QUESTION⤴️⤴️⤴️PLSS HELP ME!!!! THERE R 2 QUESTIONS!!!⭐⭐NOTE:- ⚪⚫ NO IRRELEVANT/WRONG ANSWERS!!! DON'T ANSWER IF U R NOT SURE!!✌✌PLSSS MAADAT KARDO NA !!!:) :) ♥️

Answer»

Solution :-

1). If LCM if 12 and 42 is 10m + 4 then find the value of 'm'

By splitting 12 and 42 in its PRIME factors .

12 = 2² × 3

42 = 2 × 3 × 7

So we have the LCM

= 2² × 3 × 7

= 4 × 3 × 7

= 84

So as LCM is of the form

10m + 4

→ 84 = 10m + 4

By subtracting 4 from both the sides

→ 84 - 4 = 10m + 4 - 4

→ 80 = 10m

→m = 80 ÷ 10

→ m = 8

So Value of "m"

$\huge{\boxed{\sf{= 8}}}$

____________________________________

2. What type of decimal expansion of a number

$\dfrac{441}{2^2 \times 5^3 \times 7}$

Have ?

LET US reduce it step by step :-

$\dfrac{441}{2^2 \times 5^3 \times 7}$

$= \dfrac{7^2\times 3^2\times}{2^2 \times 5^3 \times 7}$

$= \dfrac{ 7 \times 3^2}{10^2 \times 5}$

$= \dfrac{63}{500}$

$= 0.126$

Hence it will have a

$\large{\boxed{\textsf{Teminating Decimal Expansion}}}$