Extend previous understanding of rational numbers to define irrational numbers within the real number system. Locate an approximate value of a numerical expression involving irrational numbers on a number line.
Within the expression
, the irrational number
can be estimated to be between 5 and 6 because 30 is between 25 and 36. By considering
, a closer approximation for
is 5.5. So, the expression
is equivalent to about 6.5.
Instruction includes the use of number line and rational number approximations, and recognizing pi (π) as an irrational number.
Clarification 2: Within this benchmark, the expectation is to approximate numerical expressions involving one arithmetic operation and estimating square roots or pi (π).