Why is the number irrational?
Irrational and why?
Ex: 1.1475738513587328175418237.....
It is irrational because it does not have a repeating pattern ,and it does not terminate.
Rational and why?
Ex: 0.125
It is a terminating decimal.
Rational or irrational?
Ex: π
Irrational because it is not terminating.
3x − 5 = 2x + 1
x=6
6 *6
36
Irrational and why?
Ex: 0.1010010001...
It does not have a repeated pattern.
Extra (100pts)Why might someone say this number is rational?
Rational and why?
Ex: 0.666...
It is a repeating decimal, or it has a pattern.
Rational or Irrational?
Ex: 0.777...
Rational because it has a pattern.
2x + 3 = x + 7
x=4
10 *10
100
Irrational and Why?
Ex. √2
It is not perfect square.
Rational and why?
Ex: 2.345
Rational because it is a terminating decimal.
Rational or Irrational?
Ex: √36
2(x + 3) = x + 9
x=3
100 * 4
400
Irrational and why?
Ex: √7
It is not a perfect square.
What makes a number rational?
It can be turned into a fraction, it terminates (ends), and it can be a repeating decimal or has a pattern.
Rational or Irrational?
Ex: √10
Irrational, because it is not a perfect square.
2(3x + 4) − 5x = 4(x − 1) + 6
x=2
6 * 7
42
What makes a number irrational?
A number is irrational if it cannot be turned into a fraction, if the decimal does not repeat, or if it doesn't terminate (end).
Rational and why?
Ex. √25
It is a perfect square. The square root of 25 is 5.
Give me an example of an irrational number? Give three examples
Depending on the students' answers, answers may vary.
3(x − 2) + 4 = 2(x + 5) − 6
x=6
9 * 8
72