Algebra 1 Common Core Student Edition, Grade 8-9

Concept Byte

Use W ith Lesson 1 -6

Operat ions Wit h

Rat i o n al an d

Irrational Numbers

Common Core State Standards

N-RN.B.3 Explain why the sum or product of two

rational numbers is rational; th a t the sum of a rational

number and an irrational number is irra tio n a l...

MP 2

For each sum, determine whether the result is a rational number or an

irrational number.

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3. -+ V2 4. V 5 + ( - i )


4. | + V l 2
   i- a + B )
   For each product, determine whether the result is a rational number or an
   irrational number.

7 i * - 2-'■ 2 15 (^8). V 5 - |
9-3.4
5 9 1 0.! • V7
(^111) ' -5.2■ 4 9 12. - §. - V 5
For Exercises 13-16, predict whether the sum or product will be a rational or
irrational number. Explain.

13. The sum o f tw o rational num bers.
    1 4. T h e p r o d u c t o f a n o n z e r o r a t io n a l n u m b e r a n d a n i r r a t i o n a l n u m b e r.


14. The product o f tw o rational num bers.


15. The sum o f a rational nu m b e r and an irra tio n a l num ber.
    17. Can the sum o f tw o irra tio n a l num bers be rational? If so, give an exam ple. I f not,
    explain w hy not.
    18. Can the p ro d u c t o f tw o irra tio n a l num bers be rational? If so, give an exam ple. If
    n o t, e x p la in w h y n o t.

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PowerAlgebra.com | Co n ce p t By t e Operations With Rational and Irrational Numbers 45