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Which of the following statements is false?

a. Variables of type float represent single-precision floating-point numbers and have seven significant digits
b. Java provides two primitive types for storing floating-point numbers in memory—float and double
c. A floating-point number is a number with a decimal point
d. Variables of type double represent double-precision floating-point numbers; these require twice as much memory as float variables and provide 14 significant digits

1 Answer

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Final answer:

The false statement is that a floating-point number is simply a number with a decimal point. Floating-point numbers represent real numbers in a way that can express very large or very small values with a certain precision, and they might be represented in scientific notation without a visible decimal point.

Step-by-step explanation:

The statement which is false is: "c. A floating-point number is a number with a decimal point." While floating-point numbers can indeed have decimal points, this is not a complete description. Floating-point numbers represent real numbers using a system to maintain a certain degree of precision, which can also represent very large or very small numbers that may not necessarily have a visible decimal point when written in scientific notation.

Points to note about floating-point numbers in Java:

  • Variables of type float represent single-precision floating-point numbers and have approximately seven significant digits.
  • Java provides two primitive types for storing floating-point numbers: float and double.
  • Variables of type double represent double-precision floating-point numbers; these require twice as much memory as float variables and provide about 15-16 significant digits.

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