Sums and Products of Rational and Irrational Numbers

4.̅6 + 6 = 10.̅6

This is an example of

• I + R = Irrational

• R + R = Rational

• I + R = Rational

Tags

CCSS.7.NS.A.1D

Think of one rational number and one irrational number, and add them together. Type out your addition problem and tell if the sum is rational or irrational?

A rational number multiplied by an irrational number will always give an answer that is irrational.

(R ⋅ I = Irrational)

• True

• False

2.5 ⋅ 14 = 35

This is an example of

• R ⋅ R = Rational

• I + R = Irrational

• I ⋅ R = Rational

• R ⋅ R = Irrational

Tags

CCSS.6.NS.B.3

The sum or product of a non-zero rational number and an irrational number is always

• rational.

• irrational.

• a repeating decimal.

• a fraction.

Tags

CCSS.HSN.RN.B.3

What is the following a model of?

• the sum of two irrational numbers

• the sum of two rational numbers

• a rational number plus an irrational number

• the product of two irrational numbers

Tags

CCSS.HSN.RN.B.3

The product of a non-zero rational number and an irrational number can always be written as 

• a fraction.

• a terminating decimal.

• a non-repeating, non-terminating decimal.

• a repeating decimal

Tags

CCSS.HSN.RN.B.3

Explain why A+B is irrational. Explain why AxB is rational.

Tags

CCSS.HSN.RN.B.3

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.

• Irrational; The sum of a rational and an irrational is always irrational.

• Rational; The product of two rationals is always rational.

• Irrational; The product of a nonzero rational and an irrational is always irrational.

Tags

CCSS.HSN.RN.B.3

Is the result rational or irrational? Explain.

• Rational; The sum of two rationals is always rational.

• Irrational; The sum of a rational and an irrational is always irrational.

• Rational; The product of two rationals is always rational.

• Irrational; The product of a nonzero rational and an irrational is always irrational.

Tags

CCSS.HSN.RN.B.3