What are Rational Numbers?Math with Mr. Jhttps://www.youtube.com/watch?v=wswkQxG-Kk8
What are Rational Numbers?

Vocabulary

  • Rational Number — Any number that can be written as a fraction of two integers; its decimal form either terminates or repeats.
  • Integer — Positive and negative whole numbers, including zero. Decimals and fractions are not integers.
  • Terminating Decimal — A decimal that ends after a finite number of digits.
  • Repeating Decimal — A decimal that has a digit or block of digits that repeats infinitely.
  • Undefined — A mathematical expression that does not have a meaningful value, such as a fraction with a denominator of zero.

Questions

Watch the video and answer the following questions based on the information presented.
1.
According to the video, how can the whole number 6 be represented as a fraction of two integers, demonstrating it is a rational number?
2.
The video explains that 0.7 is a rational number. What is one way to write 0.7 as a fraction of two integers?
3.
The video emphasizes a crucial rule for fractions that define rational numbers. What is this rule regarding the denominator, and why is it important?
4.
Which of the following numbers is identified as an irrational number in the video?
  1. 0.3 repeating
  2. 25\sqrt{25}
  3. 2.752.75
  4. 3\sqrt{3}
5.
Reflect on the examples provided in the video. Explain in your own words how understanding the decimal form (terminating or repeating) of a number can help you quickly determine if it is rational, even before trying to write it as a fraction of two integers.

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