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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...?
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Which of the following fractions represents the number -0.1?
Which of the following fractions represents the number -0.1?
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How would you classify the number 1.75?
How would you classify the number 1.75?
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Which pair of fractions is equivalent to 5/1?
Which pair of fractions is equivalent to 5/1?
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What does the negative sign in a rational number indicate?
What does the negative sign in a rational number indicate?
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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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