Question

Not every counting number is an integer true or false?

Answer 1

The statement that not every counting number is an integer is false. Counting numbers are a subset of integers and are examples of exact numbers, which can be contrasted with measured quantities that have associated uncertainties.

Step-by-step explanation:

True or false: Not every counting number is an integer. This statement is false. Every counting number is indeed an integer. Counting numbers, also known as natural numbers, start from 1 and go up infinitely (1, 2, 3, ...). Integers include all whole numbers, both positive and negative, as well as zero (-2, -1, 0, 1, 2, ...). Therefore, every counting number falls within the set of integers. Counting numbers are a subset of integers.

Mathematics is characterized by its universality and certainty. The rules of mathematics are the same whether you're in Long Island or Timbuktu, regardless of your culture or timeframe. For instance, the operation 12 + 19 will always equal 31, and this fact is exact and can be counted on.

Exact numbers derive from counting individual items or from defined units. For example, 1 foot is defined as exactly 12 inches, thereby quantity by definition is also regarded as exact numbers. This is in contrast to measured quantities, which have associated uncertainties and might require estimation or the use of significant figures for practicality.

Answer 2

False. All counting numbers {1, 2, 3, 4, 5, ...} are integers. The set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ....} which is basically the set of positive whole numbers, negative whole numbers and 0.

Note: the set of counting numbers is a subset of the set of integers.