Podcast
Questions and Answers
Which of the following numbers is a rational number?
Which of the following numbers is a rational number?
- e
- 0.5 (correct)
- √2
- π
Which statement about the number -5.2 is true?
Which statement about the number -5.2 is true?
- -5.2 is a rational number. (correct)
- -5.2 cannot be expressed as a fraction.
- -5.2 is the same as 5.2.
- -5.2 has a non-repeating decimal.
Which of the following is NOT a characteristic of rational numbers?
Which of the following is NOT a characteristic of rational numbers?
- They include whole numbers.
- They can be positive or negative.
- They are never negative. (correct)
- They have decimal representations.
What is the fraction equivalent of the decimal 0.1111...?
What is the fraction equivalent of the decimal 0.1111...?
Which of the following fractions represents the number -0.1?
Which of the following fractions represents the number -0.1?
How would you classify the number 1.75?
How would you classify the number 1.75?
Which pair of fractions is equivalent to 5/1?
Which pair of fractions is equivalent to 5/1?
What does the negative sign in a rational number indicate?
What does the negative sign in a rational number indicate?
Study Notes
Rational Numbers
- Any number that can be expressed as a ratio of two integers.
- A number in the form m/n, where n ≠0, where m and n are integers.
- Positive and negative whole numbers/integers, decimals (terminating and repeating), and fractions.
Irrational Numbers
- Numbers that cannot be written as a fraction.
- Non-repeating decimals.
Comparing Rational Numbers
- There is no difference in value between -0.25, 0.25- , and -25/100.
- All equal -0.25 as a decimal.
- When there is an odd number of negatives, the value is negative.
Classwork
- Page 101: #5, 8, 10, 12fh, 14de, 21, 22, 23d, 25b
Khan Academy Resources
- Intro to Rational & Irrational Numbers
- Classifying Rational & Irrational Numbers
- Practice
- Video and Practice on Number lines with negative decimals
- Video and Practice on Number lines with negative decimals and fractions
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Description
This quiz focuses on the classification and comparison of rational and irrational numbers. Students will explore the properties of rational numbers, including ratios, decimals, and comparisons with specific classwork tasks. Utilize provided resources to reinforce learning and understanding of these numerical concepts.
