Question

Decimal expansion of 77/1120 by writing their denominator in the form of 2m×5n where m and n are non negative integer

Answer 1

Here denominator is 625

625=2^0×5^4

Hence,the prime factor only have 2 and 5 it has terminating decimal expansion.

So,

14588/625= 23.3408 Ans.

Answer 2

Answer:

0.06875

Step-by-step explanation:

$\frac{77}{1120} = \frac{7*11}{2^{5}*5^{1} *7^{1} }$

Here we can see that 7 is common in both the denominator and numerator therefore we will cancel out 7.

Resulting equation is

$\frac{11}{2^{5} *5^{1} }$

Now we will try to create the denominator in the power of 10

As we can see The denominator is $2^{5} *5^{1}$

so we will multiply the denominator and numerator by 5^4

So the equation becomes  $\frac{11*5^{4} }{2^{5} *5^{5} }$

which is equal to 6875/100000 = 0.06875

Hope it help you........