Question

rational vs irrational
the ______ contains rational and irrational numbers.
____ are numbers that can be expressed as a ____ for example: ½, 2, 1½, 0.5, ¾, −18, −3.3, −5
while ______ are numbers that cannot be expressed as fraction or ratio of two numbers for example:
all integers and fractions are rational. our ti-84 calculator can test whether a decimal is can be rewritten as a fraction by pressing:
word bank
fraction or a ratio
rational numbers
real number system
irrational numbers

Explanation:

1. The first blank: The text is about the Real Number System which contains Rational and Irrational Numbers. So we fill "Real Number System" here.
2. The second blank: Rational Numbers are defined as numbers that can be expressed as a fraction or a ratio of two integers. So we fill "Rational Numbers" here.
3. The third blank: Irrational Numbers are numbers that cannot be expressed as a fraction or ratio of two integers. So we fill "Irrational Numbers" here.
4. The fourth blank: As per the definition of Rational Numbers, they are expressed as a "Fraction or a Ratio". So we fill "Fraction or a Ratio" here.
5. The fifth blank: Irrational Numbers cannot be expressed as a fraction or ratio of two numbers, so we fill "Irrational Numbers" here.

Answer:

1. Real Number System
2. Rational Numbers
3. Irrational Numbers
4. Fraction or a Ratio
5. Irrational Numbers