Rules about Operations with Rational and Irrational Numbers

What is a rational number ?

• A rational number  is a number that cannot be written as a fraction.
• A rational number is a number that can be written as a ratio.
• A rational number cannot be a repeating  decimal.

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CCSS.HSA.APR.D.7

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.

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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.

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CCSS.HSN.RN.B.3

• rational

• irrational

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CCSS.HSN.RN.B.3

• rational

• irrational

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CCSS.HSN.RN.A.2

CCSS.HSN.RN.B.3

• rational

• irrational

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CCSS.HSN.RN.B.3

• Rational

• Irrational

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CCSS.HSN.RN.B.3

• The decimal ends.

• The decimal repeats.

• The decimal goes on forever.

• The decimal does not end and does not repeat.

Tags

CCSS.HSN.RN.B.3