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Questions and Answers
Match the following decimal types with their description:
Match the following decimal types with their description:
Terminating decimal = Decimal that comes to an end Recurring decimal = Decimal where a digit or group of digits is repeated forever Equivalent decimal = Decimal obtained from an equivalent fraction Decimal conversion = Decimal obtained from division of a fraction
Match the following fractions with their decimal representation:
Match the following fractions with their decimal representation:
15 = 0.2 210 = 0.2 1325 = 0.52 13 = 0.3
Match the following decimal representations with their type:
Match the following decimal representations with their type:
0.2 = Terminating decimal 0.52 = Recurring decimal 0.3 = Recurring decimal
Match the following statements with their correct description:
Match the following statements with their correct description:
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Study Notes
Decimal Types and Descriptions
- Decimal numbers can be classified into finite decimals and infinite decimals.
- Finite decimals have a definite number of digits after the decimal point, such as 0.75.
- Infinite repeating decimals have an endless pattern, such as 0.333... (which represents 1/3).
- Infinite non-repeating decimals do not have a repeating pattern, like the decimal representation of pi (Ï€).
Fractions and Decimal Representations
- Proper fractions represent numbers less than one, e.g., 1/4 = 0.25.
- Improper fractions are greater than or equal to one, e.g., 5/4 = 1.25.
- Mixed numbers combine whole numbers and fractions, e.g., 2 1/2 = 2.5.
- Each fraction can be converted to decimal by dividing the numerator by the denominator.
Decimal Representations and Their Types
- Decimals can also be categorized based on their characteristics, such as repeating or terminating.
- Terminating decimals end after a finite number of digits, like 0.5 or 0.125.
- Repeating decimals, like 0.666..., occur when a specific digit or a series of digits recurs indefinitely.
Statements and Descriptions
- Descriptive statements regarding decimals and fractions often highlight the properties that differentiate them.
- Key descriptors for fractions include proper, improper, and mixed types.
- Descriptive statements for decimals emphasize whether they are terminating, repeating, or non-repeating.
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