Question

Write the denominator of the rational number 257/5000 in the form 2m x 5n, where, are non-negative integers. Hence, write its decimal expansion, without actual division. ​

Answer 1

Answer:

Denominator of the rational number 257/ 5000 is 5000. = (2)^ 3 × (5)^ 4 , which is of the type 2m × 5n , (where m = 3 and n = 4 are non-negative integers.) So, 0.0514 is the required decimal expansion of the rational 257/5000 and it is also a terminating decimal number

Answer 2

Answer:

Solution: (i) x + y = 14 ; x – y = 4

solve first equation

x + y = 14

x = 14 - y …………..(1)

plug this value in equation second we get

x – y = 4

14 – y - y = 4

Add 14 both side we get

- 2 y = 4 - 14

- 2 y = - 10

Y = -10/-2

Y = 5

Plug y = 5 in equation first we get

X = 14 – y

X = 14 – 5

X = 9

Answer x = 9 , y = 5

(ii)s – t = 3 ; s/3 + t/2 = 6

Solve first equation

s – t = 3

s = 3+t …………(1)

Plug this value in equation second we get

s/3 + t/2 = 6

Multiply by 6 to remove all denominator we get

6 + 2t + 3t = 36

5t = 36 – 6

5t = 30

Divide by 2 we get

t = 30/5

t =6

Plug the value in equation first we get

s = 3 +6

s = 9

Answer s = 9 , t = 6