Rational Versus Irrational Sums and Products

• A

• B

• C

• D

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CCSS.8.NS.A.2

• A

• B

• C

• D

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CCSS.HSN.RN.B.3

• A

• B

• C

• D

• A

• B

• C

• D

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CCSS.HSN.RN.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

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

•  Sum of rational and irrational, so it is irrational

• Sum of two irrationals, so it is irrational

• Product of two irrationals, so it is irrational 

• Product of two rationals, so it is rational 

Tags

CCSS.HSN.RN.B.3

When a rational number is multiplied by an irrational number, the product will be a(n) ​ (a)   .

• irrational number

• rational number

• integer

• whole number

Tags

CCSS.HSN.RN.B.3

• Since both numbers are rational, the product is rational

• Since both numbers are irrational, the product is rational

• Since one number is rational and one number is irrational, the product is irrational

• Since one number is rational and one is irrational, the product is irrational

1.      Select each box in the table where the numbers from corresponding rows and columns will have a rational sum.

Tags

CCSS.7.NS.A.1D