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A real number is either a rational number or an irrational number. An irrational number is a nonrepeating, nonterminating decimal. The whole numbers consist of the natural numbers and 0. 0, 1, 2, 3, 4, . . . The natural numbers are also referred to as the counting numbers. 1, 2, 3, 4, . . .
The Number System Identify the sets to which each of the following numbers belongs by marking an “X” in the appropriate boxes. Number Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers 1. − 17 2. −2 3. 37 9 − 4. 0 5. −6.06 6. 4 .56 7. 3.050050005... 8. 18 9. 0 −43 10. π 11. .634 12. 225 13 ...
10) If a number is natural, then it also whole. _____ Short Answer. 11) Name a number that is an integer, but not whole. _____ 12) Give an example of an irrational number that was not already used on this worksheet or our notes. _____ 13) Give an example of a rational number that was not already used on this worksheet or our notes.
Free worksheet with answers, bell work, guided notes, exit quiz, lesson plan, and much more to help teach the Real Number System in Algebra 1.
Worksheet 1 – Algebra: The Number System Grade 10 Mathematics 1. Complete the table: Number R R’ Q Q’ N N 0 Z 𝛑 0 √ √ √ ̇ 5 0,23 -4 2. Between which 2 integers do the following surds lie? √a) √ b) c) √ √ d)
The following diagram shows the types of numbers that form the set of real numbers. Definitions 1. The natural numbers are the numbers used for counting. 1, 2, 3, 4, 5, . . . A natural number is a prime number if it is greater than 1 and its only factors are 1 and itself. A natural number is a composite number if it is greater than 1 and it is ...
Homework: Real Number System Practice 1) Create a Venn Diagram of the real number system. (Hint: USE YOUR NOTES! Ask yourself: how do we categorize real numbers?) 2) Place a check mark in each subgroup (column) that the following numbers fit in. Natural Whole Integer Rational Irrational Real √ - 7 − 𝟏 -.11111 … 1 0 200 4.39463
