Rational versus Irrational Numbers

• (1) L + M

• (2) M + N

• (3) N + P

• (4) P + L

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Which statement is not always true?

• (1) The product of two irrational numbers is irrational.

• (2) The product of two rational numbers is rational.

• (3) The sum of two rational numbers is rational.

• (4) The sum of a rational number and an irrational number is irrational.

Tags

CCSS.HSN.RN.B.3

Ms. Fox asked her class “Is the sum of 4.2 and radical 2 rational or irrational?” Patrick answered that the sum would be irrational. State whether Patrick is correct or incorrect. Justify your reasoning.

• The sum is rational because a rational number plus a rational number is always rational.

• The sum is irrational because the sum of an irrational number and a rational number is always irrational.

• The sum is rational because the sum of an irrational number and a rational number is always irrational.

• The sum is rational because a rational number plus an irrational number is always rational.

Tags

CCSS.HSN.RN.B.3

Determine if the product of 3√2 and 8√18 is rational or irrational. Explain your answer.

• It is irrational because the product of two irrational numbers is always irrational.

• It is rational because the product of two irrational numbers is always rational.

• It is rational because 3 times 8 is 24 and radical 2 times radical 18 is radical 36, which is 6. So it becomes 24 times 6, which is 144 (a rational number).

• It is rational because 3 times 8 is 24 and radical 2 times radical 18 is 26. This is a rational number because it can be made into a fraction.

Tags

CCSS.HSN.RN.B.3

A fraction is which type of number?

• Rational
• Irrational
• Integer
• Whole

Tags

CCSS.HSN.RN.B.3

0.33333 is considered a ________ decimal

• repeating

• terminating

Tags

CCSS.5.NBT.A.3

Integers are ____________ rational.

• always

• sometimes

• never

Tags

CCSS.HSN.RN.B.3

What type of number is π ?

• Rational
• Irrational
• Integer
• Natural

Tags

CCSS.HSN.RN.B.3

Which number is irrational?

• 9.6
• √45
• 3/8
• 3.4 x 10 ⁵

Tags

CCSS.HSN.RN.B.3

Which number is a rational number ?

• 1/4
• π
• √3
• 4.632789...

Tags

CCSS.HSN.RN.B.3