Real Number Systems

Convert 0.444... to a fraction.

• 4/10

• 4.4/99

• 4/9

• 2/5

A fraction is which type of number?

• Rational

• Irrational

• Integer

• Whole

Rational numbers can always be written as a __________.

• fraction

• decimal

• negative number

• whole number

A ______ decimal is a decimal in which a digit, or a group of digits, repeat(s) infinitely

• non-terminating

• terminating

• repeating

• A

• B

• C

• D

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

MAFM.NT.4

Irrational numbers...

• are non-repeating

• are non-terminating and non-repeating decimals

• can sometimes be perfect squares

• are non-terminating

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

MAFM.NT.4

Choose the number that applies to these sets: Real, Irrational

• -
  ⅓

• -4

• √4

• π

Are irrational numbers real numbers?

• Always

• Sometimes

• Never