1. Word cloud
120 seconds
Name two irrational numbers?
2. Slide
60 seconds
Irrational numbers are those that cannot be written as a simple fraction. Examples of irrational numbers are pi, square roots, and e. Unlike rational numbers, irrational numbers cannot be written in a finite number of digits.
Understanding Irrational Numbers
3. Slide
60 seconds
Irrational numbers are numbers that cannot be expressed as a fraction, and they cannot be written in a repeating or terminating decimal. Examples of irrational numbers are pi and the square root of any number that is not a perfect square. Rational numbers are the opposite of irrational numbers. They can be written as fractions, and they can also be written in a repeating or terminating decimal. Examples of rational numbers are fractions and whole numbers. Comparing irrational numbers can be done by looking at the decimal representation of the numbers. The larger the number, the further away the decimal representation will be from zero. Irrational numbers with decimal representations that are farther away from zero are larger than irrational numbers with decimal representations that are closer to zero.
Concepts:
4. Poll
60 seconds
Do you think irrational numbers are easy to compare and plot?
- Yes
- No
- Sometimes
- I'm not sure
5. Slide
60 seconds
The number pi is an irrational number, and has been calculated to over one trillion digits after the decimal point. The square root of two is also an irrational number, and can never be expressed as a fraction. It is impossible to solve an equation with an irrational number as the answer.
Did you know?
6. Open question
300 seconds
What is the difference between a rational and an irrational number?
7. Open question
300 seconds
What are some examples of irrational numbers?
8. Poll
90 seconds
What is a rational number?
- A number that can be expressed as a fraction
- A number that cannot be expressed as a fraction
- A number that can be expressed as a decimal
- A number that can be expressed as an integer
9. Poll
90 seconds
What is an irrational number?
- A number that cannot be expressed as a fraction
- A number that can be expressed as a fraction
- A number that can be expressed as a decimal
- A number that can be expressed as an integer
10. Poll
60 seconds
What is the smallest natural number?
- 1
- 0
- -1
- There is no smallest natural number.
11. Poll
60 seconds
Which of the following is a rational number?
- 4.358.....
- 𝞹
- √159
- 0.27
12. Poll
60 seconds
What is the square root of 64?
- 8
- -8
- 4
- -4
13. Poll
60 seconds
Which of these numbers is an irrational number?
- π (pi)
- 3.14
- 7/3
- 2.75
14. Poll
60 seconds
Which of the following is not a whole number?
- -11
- 0
- 4
- 15
15. Poll
60 seconds
What is the square root of 9?
- 3
- -3
- 9
- 0.5
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