Rational & Irrational Truth Statements

Which of the following numbers is irrational?

• √8
• ¾
• 2
• -1.325

Tags

CCSS.8.NS.A.1

Which of the following is rational?

• .211232112421125. . . .
• π
• √25
• √12

Tags

CCSS.HSN.RN.B.3

Which statement is Always true?

• Any irrational number added to any rational number is equal to a rational number.

• Any irrational number added to any irrational number is equal to a rational number.

• Any irrational number multiplied by any non-zero rational number is equal to a rational number.

• Any irrational number multiplied by any non-zero rational number is equal to an irrational number.

Tags

CCSS.HSN.RN.B.3

A rectangle has side lengths of 3 inches and √5 inches. Which statement must be true about the area of the rectangle?

• It is a rational number because the product of the side lengths is the rational number 15.

• It is an irrational number because the product of the side lengths is 3√5 an irrational number.

• It is a rational number because the product of √5 and √5 results in 5, a rational number.

• It is an irrational number because the product of the side lengths is √15 an irrational number.

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

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

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