The number is often used to estimate , but it is rational, while is __________.
Answer & Analysis
Analysis
Question Analysis
This question checks the student’s understanding of rational approximations to irrational numbers.
Key Concept Explanation
Rational numbers can be expressed as the ratio of two integers. Irrational numbers, like , cannot be expressed exactly this way.
Step-by-step Solution
1. Recognize that is a rational number (a fraction).
2.
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
'%3e%3cpath%20fill-rule='evenodd'%20clip-rule='evenodd'%20d='M1.75736%201.75736C0%203.51472%200%206.34315%200%2012C0%2017.6569%200%2020.4853%201.75736%2022.2426C3.51472%2024%206.34315%2024%2012%2024C17.6569%2024%2020.4853%2024%2022.2426%2022.2426C24%2020.4853%2024%2017.6569%2024%2012C24%206.34315%2024%203.51472%2022.2426%201.75736C20.4853%200%2017.6569%200%2012%200C6.34315%200%203.51472%200%201.75736%201.75736ZM18.1727%206H16.026L12.4879%209.8345L9.42953%206H5L10.2925%2012.5633L5.27636%2018H7.42427L11.2963%2013.8054L14.6798%2018H19L13.4829%2011.0834L18.1727%206ZM16.4622%2016.7816H15.2724L7.50688%207.15475H8.78349L16.4622%2016.7816Z'%20fill='%23535A74'/%3e%3c/g%3e%3cdefs%3e%3cclipPath%20id='clip0_774_453'%3e%3crect%20width='24'%20height='24'%20fill='white'/%3e%3c/clipPath%3e%3c/defs%3e%3c/svg%3e){kind=small}
'%3e%3crect%20id='大小'%20width='24'%20height='24'%20transform='translate(510%20188)'%20fill='%23fff'%20opacity='0'/%3e%3cpath%20id='路径_1057'%20data-name='路径%201057'%20d='M14,2a12,12,0,0,0-1.875,23.854V17.469H9.079V14h3.047V11.356c0-3.007,1.791-4.669,4.533-4.669a18.454,18.454,0,0,1,2.686.234V9.875H17.832a1.734,1.734,0,0,0-1.956,1.874V14H19.2l-.532,3.469h-2.8v8.385A12,12,0,0,0,14,2Z'%20transform='translate(507.999%20186)'%20fill='%23535a74'/%3e%3c/g%3e%3c/svg%3e){kind=small}
'%3e%3cpath%20fill-rule='evenodd'%20clip-rule='evenodd'%20d='M0%2012C0%2017.6569%200%2020.4853%201.75736%2022.2426C3.51472%2024%206.34315%2024%2012%2024C17.6569%2024%2020.4853%2024%2022.2426%2022.2426C24%2020.4853%2024%2017.6569%2024%2012C24%206.34315%2024%203.51472%2022.2426%201.75736C20.4853%200%2017.6569%200%2012%200C6.34315%200%203.51472%200%201.75736%201.75736C0%203.51472%200%206.34315%200%2012ZM4.96484%209.49609V19.043H7.93359V9.49609H4.96484ZM4.72656%206.47656C4.72656%207.42578%205.49609%208.19531%206.44922%208.19531C7.39844%208.19531%208.16797%207.42188%208.16797%206.47656C8.16797%205.52734%207.39844%204.75781%206.44922%204.75781C5.49609%204.75781%204.72656%205.52734%204.72656%206.47656ZM16.0781%2019.043H19.043V13.8047C19.043%2011.2344%2018.4883%209.25781%2015.4844%209.25781C14.043%209.25781%2013.0742%2010.0508%2012.6797%2010.8008H12.6406V9.49609H9.79688V19.043H12.7578V14.3242C12.7578%2013.0781%2012.9922%2011.8711%2014.5352%2011.8711C16.0586%2011.8711%2016.0781%2013.2969%2016.0781%2014.4023V19.043Z'%20fill='%23535A74'/%3e%3c/g%3e%3cdefs%3e%3cclipPath%20id='clip0_774_461'%3e%3crect%20width='24'%20height='24'%20fill='white'/%3e%3c/clipPath%3e%3c/defs%3e%3c/svg%3e){kind=small}
'%3e%3cpath%20fill-rule='evenodd'%20clip-rule='evenodd'%20d='M0%2012C0%206.34315%200%203.51472%201.75736%201.75736C3.51472%200%206.34315%200%2012%200C17.6569%200%2020.4853%200%2022.2426%201.75736C24%203.51472%2024%206.34315%2024%2012C24%2017.6569%2024%2020.4853%2022.2426%2022.2426C20.4853%2024%2017.6569%2024%2012%2024C6.34315%2024%203.51472%2024%201.75736%2022.2426C0%2020.4853%200%2017.6569%200%2012ZM12%205.83594C8.59688%205.83594%205.83594%208.59688%205.83594%2012C5.83594%2015.4031%208.59688%2018.1641%2012%2018.1641C15.4031%2018.1641%2018.1641%2015.4031%2018.1641%2012C18.1641%208.59688%2015.4031%205.83594%2012%205.83594ZM12%2015.9984C9.79219%2015.9984%208.00156%2014.2078%208.00156%2012C8.00156%209.79219%209.79219%208.00156%2012%208.00156C14.2078%208.00156%2015.9984%209.79219%2015.9984%2012C15.9984%2014.2078%2014.2078%2015.9984%2012%2015.9984ZM18.4078%207.0312C19.2%207.0312%2019.8469%206.38902%2019.8469%205.59214C19.8469%204.79995%2019.2%204.15308%2018.4078%204.15308C17.6156%204.15308%2016.9688%204.79526%2016.9688%205.59214C16.9688%206.38433%2017.6109%207.0312%2018.4078%207.0312Z'%20fill='%23535A74'/%3e%3c/g%3e%3cdefs%3e%3cclipPath%20id='clip0_774_455'%3e%3crect%20width='24'%20height='24'%20fill='white'/%3e%3c/clipPath%3e%3c/defs%3e%3c/svg%3e){kind=small}