Name ——————————————————————
Date ———————————
SPI 0806.2.2
Identify numbers and square roots as rational or irrational.
a
b
A rational number is any number that can be written in the form }.
1
}
• When written in decimal form, rational numbers either terminate or repeat. (For example, }3 5 .3)
• Whole numbers and integers are rational numbers because they can be written with 1 in the
7
denominator. (For example, 7 can be written as }1 .)
• Square roots of numbers that are perfect squares are rational numbers.
}
2
Examples of rational numbers: 23, Ï 16 , }9, 27.51128, 0
a
b
An irrational number is a number that cannot be written in the form }.
• In decimal form, irrational numbers never end and never have an infinitely repeating pattern.
• Square roots of numbers that are not perfect squares are irrational numbers.
}
}
}
Ï
1
Examples of irrational numbers: π, Ï 2 , Ï 101 , }3
1
Which is an irrational number?
17
A }
9
–
B 26.6
C
}
Ï99
}
Which is a rational number?
F
}
Ï40
}
G Ï 400
}
H
Ï50
J
Ï500
}
© Houghton Mifflin Harcourt Publishing Company
D Ï 400
2
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Grade 8 Tennessee
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SPI 0806
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8/23/10 8:11 PM
Name ——————————————————————
SPI 0806.2.2
3
(continued)
Which is an irrational number?
1
A }
9
3
B }
4
C
}
Ï 121
}
4
Which is a rational number?
F
41π
}
π14
G
4π2
}
4π
H
4π
J
4π2
© Houghton Mifflin Harcourt Publishing Company
D Ï 136
Date ———————————
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SPI 0806
8_MTNBETP478555_SPI_0806.2.2.indd 34
Grade 8 Tennessee
8/23/10 8:11 PM