Definitions (fill in the blank)
A decimal that has a repeating pattern is a__________ number.
Rational
Create an irrational number that is a decimal.
Decimal must be non-terminating and non-repeating
Rational, because the square root of 1 is 1 and 1 is a rational number.
Which real numbers are rational and why?
a. 4/-3
b. -5
c. square root of 49
d. 6.78475903...
What is 0.55555555... as a fraction?
5/9
A rational number can be expressed as ___________
Create an irrational number that is a fraction.
4/9 or .4444444...
Rational, because it can be expressed as a/b where a and b are integers
What is this? -73/44 Explain.
a. A rational number
b. A whole number
c. An irrational number
d. A real number
e. A natural number
What is .2323232323... as a fraction?
23/99
A ______________ can be turned into a fraction. Therefore, it is a rational number
repeating decimal
Create an irrational number that is not a perfect square.
The square root of any nonnegative non perfect square.
Square root of 32
Irrational, because there are no two identical numbers that have the product of 32
5.43443444344443... is an irrational number. If it has a pattern isn't it rational? Explain
It must be a repeating pattern in order for a non-terminating number to be a rational number.
What is .2333333333... as a fraction? Simplified to furthest terms
21/90 or 7/30
A decimal that is ________________ & has a ______________ pattern is an irrational number.
non-terminating/non-repeating
Create an irrational number that is a real number.
Any irrational number is a real number!
4.515515551....
Irrational, because it is a non-terminating , non-repeating decimal.
Select all that are irrational and explain.
a. 2/3
b. pi
c. square root of 2
d. 2/9
e. square root of 3
What is 1.4848484848... as a mixed number? Simplified.
1 16/33
A rational number can be expressed as ___________ where ___________ are ______________ and ___________ can't equal 0
a/b, a/b, integers, b
What irrational number is always constant, but is a non-repeating and non-terminating decimal?
pi
Square root of 4/9
Rational, because the square root of 4/9 is 2/3 and this can be represented as a/b
Which number is irrational and why?
a. square root of 4
b. square root of 16/4
c. square root of 20/5
d. square root of 36/25
What is 2.1616161616... as a fraction?
214/99