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Questions and Answers
What defines a proper fraction on the number line?
What defines a proper fraction on the number line?
- It can be negative.
- It always exists between zero and one. (correct)
- It represents a whole number.
- It is larger than one.
What is the result of adding 12/8 and 9/8?
What is the result of adding 12/8 and 9/8?
- 21/8 (correct)
- 3
- 12/16
- 24/8
Which of the following correctly describes an improper fraction?
Which of the following correctly describes an improper fraction?
- Includes only whole numbers.
- Always less than one.
- Cannot have a negative numerator.
- Can be represented by a mixed number. (correct)
Which statement about rational numbers is NOT true?
Which statement about rational numbers is NOT true?
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What is the product of 12/5 and 3/13?
What is the product of 12/5 and 3/13?
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What term describes two rational numbers that are equidistant from zero on opposite sides?
What term describes two rational numbers that are equidistant from zero on opposite sides?
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How is interest calculated according to the formula that is typically used?
How is interest calculated according to the formula that is typically used?
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What process involves multiplying a number by itself three times?
What process involves multiplying a number by itself three times?
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Study Notes
Rational Numbers
- Proper fractions always exist between zero and one on the number line.
- Improper fractions are represented on the number line by first converting them into mixed fractions and then representing them on the number line.
- Two rational numbers are considered opposites if they have the same distance from 0, but on different sides of 0.
- Two rational numbers with the same denominator are compared by comparing their numerators. The number with the greater numerator is greater.
- The sum of two fractions with the same denominator is calculated by adding their numerators and keeping the same denominator.
- The product of two fractions is calculated by multiplying their numerators and multiplying their denominators.
Interest
- The money that is borrowed or loaned is called the base (B).
- The interest paid on the original principal during the whole interest periods is called compound interest.
Squaring and Cubing Numbers
- Squaring a number is the process of multiplying a number by itself.
- Cubing a number is the process of multiplying a number by itself three times.
Square Roots and Cube Roots
- The square of 12 is 144.
- The square root of 121 is 11.
- 8 is the square root of 64.
- 216 is a perfect cube of 6.
- The cube root of 512 is 8.
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