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Describe the relationship between rational numbers and whole numbers. Are all rational numbers also whole numbers? Are all whole numbers also rational numbers? Give examples to support your answer.(4 points) Put in simple words

1 answer

Rational numbers and whole numbers are related, but they are not the same.

  1. What are Whole Numbers?
    Whole numbers are the numbers 0, 1, 2, 3, and so on. They are all the counting numbers starting from zero, without any fractions or decimals.

  2. What are Rational Numbers?
    Rational numbers are any numbers that can be expressed as a fraction (a/b) where "a" and "b" are integers, and "b" is not zero. This includes whole numbers, fractions, and some decimals.

  3. Are all rational numbers also whole numbers?
    No, not all rational numbers are whole numbers. For example, the rational number 1/2 is a fraction and cannot be a whole number.

  4. Are all whole numbers also rational numbers?
    Yes, all whole numbers are rational numbers. For example, the whole number 3 can be written as 3/1, which is a fraction.

In Summary:

  • Whole numbers (like 0, 1, 2, 3) are a specific group of numbers.
  • Rational numbers include whole numbers but also include fractions and decimals (like 1/2 or 0.75).
  • So all whole numbers are rational, but not all rational numbers are whole numbers.