Answer:
The whole number x is 355
Step-by-step explanation:
* Lets explain how to solve the problem
- The whole number x in x/113 is the better estimate for π than
the two approximated values of π ⇒ 22/7 and 3.14
- To find the whole number x lets equate the ratio by 3.14 and 22/7
∵ x /113 = 3.14
- By using cross multiplication
∴ x = 113 × 3.14
∴ x = 354.82
∵ x /113 = 22/7
- By using cross multiplication
∴ x = (113 × 22)/7
∴ x = 355.14
- x is a whole number between these two values
∵ 354.82 < x < 355.14
∴ x = 355
- Now lets check the ratio , 3.14 , 22/7 with π
∵ 355/113 = 3.14159292
∵ 22/7 = 3.142857143
∵ π = 3.141592654
∵ 355/113 and π have 6 common decimals but 22/7 and 3.14
have only 2 common decimals with π
∴ The ratio 355/113 is the better estimate for π
∴ The whole number x is 355
