Question

5 rational 5 irrational number between 7 & 8​

Answer 1

Answer:

$\huge\star \underline{ \boxed{ \purple{Answer}}}\star$

$\Large\sf\green{5\:rational\:b/w\:7,8}$

• $\sf{\frac{71}{10}}$

• $\sf{\frac{72}{10}}$

• $\sf{\frac{73}{10}}$

• $\sf{\frac{74}{10}}$

• $\sf{\frac{75}{10}}$

$\Large\sf\green{5\:irrational\:b/w\:7,8$

• $\sf{7.020020002. . .}$
• $\sf{7.030030003. . .}$
• $\sf{7.040040004. . .}$
• $\sf{7.050050005. . .}$
• $\sf{7.060060006. . .}$

Step-by-step explanation:

Given :-

no.s should be in between 7 & 8

To Find :-

5 rational 5 irrational number between 7 & 8

Solution :-

$\sf\green{for\:finding\:5\:rational\:no.s\:between\:7\:and\:8}$

$\sf\green{multiply\:the\:whole\:fraction\:by\:10}$

➝$\sf{\frac{7}{1}}$

➝$\sf{\frac{7\:\times\:10}{1\:\times\:10}}$

➝$\sf{\frac{70}{10}}$

&

➝$\sf{\frac{8}{1}}$

➝$\sf{\frac{8\:\times\:10}{1\:\times\:10}}$

➝$\sf{\frac{80}{10}}$

$\sf{Now\:find\:the\:5\:no.s\:between\:\frac{70}{10}\:and\:\frac{80}{10}}$

So, the 5 rational no.s between 7 and 8 are :-

➝$\sf{\frac{71}{10}}$

➝$\sf{\frac{72}{10}}$

➝$\sf{\frac{73}{10}}$

➝$\sf{\frac{74}{10}}$

➝$\sf{\frac{75}{10}}$

$\sf\green{for\:finding\:5\:irrational\:no.s\:between\:7\:and\:8}$

We know that the irrational no.s are no.s which are non repeating and non terminating .

So, the 5 irrational no.s between 7 and 8 are :-

➝$\sf{7.020020002. . .}$

➝$\sf{7.030030003. . .}$

➝$\sf{7.040040004. . .}$

➝$\sf{7.050050005. . .}$

➝$\sf{7.060060006. . .}$

$\large\mathfrak\pink{Hope \: it \: helps \: you}$

$\large\mathfrak\pink{friend}$