SWBAT: Identify and Use P
​ roperties of Rational and Irrational Numbers
Lesson 2​
2)​ ​ Check for Understanding ​

a) The sum of 2.236 and 7.555…. must be
a) rational
b) irrational
c) an integer
d) a whole number
b) The product of   2.54 must be
a) rational
b) irrational
c) an integer
d) a whole number
3)​ ​ ​
a)​ ​ Exploration 3 complete the table: Rationals + Irrationals
Expression
Sum
Rational or Irrational?
√2 + 9
√3
+ √25
2
7+ 
​
Conclusion 3: The sum of a rational and an irrational number must be
____________________.
Why do you think that is? ___________________________________________________________
b)​ ​ ​
Exploration 4 complete the table: Rationals ×
​ ​Irrationals
Expression
Product
Rational or Irrational?
6√5
10 ∙ √

0.1234767 … × 0. 4̅
​
Conclusion 4: The product of a rational and an irrational number must be
_______________________
Why do you think that is? ___________________________________________________________
3
SWBAT: Identify and Use P
​ roperties of Rational and Irrational Numbers
Lesson 2​
​
Exploration 5 complete the table: Irrationals ×
​ ​Irrationals
Expression
Product
Rational or Irrational?
√7  √7
√7  √3
5√5  √5
​
Conclusion 5: The product of an irrational and an irrational number must be
_______________________
​
4)​ ​ Summary Questions ​
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