Question

Write the following rational numbers in their decimal form and also state which are terminating and which are not terminating repeating decimal 229 by 400

Answer 1

Answer:

229/4 x 100

= 229/2² x 10²

= 229/ 2² x (2 x 5)²

= 229/2² x 5² x 2²

= 229/$2^4$ x 5²

∴ By Multiplying and Dividing by 5²,

= 229 x 5²/$2^4$ x 5² x 5²

= 229 x 25/$2^4$ x $5^4$

= 229 x 25/$(10)^4$

= 5725/10000 = 0.5725