Day 143 Number theory with Closure (day 1)

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Presentation transcript:

Day 143 Number theory with Closure (day 1)

Introduction In day to day life, we use numbers in calculation, in quantifying items, measuring and, so on. These numbers vary and there is need to understand their nature so as to work with correctly. In this lesson, we are going to look the closure property of natural numbers and integers.

Vocabulary: Natural numbers They are counting numbers, example, 1,2,3,4,… Closure The a description of a situation where an operation on numbers of the same category gives rise to number of the same category as the first ones Integers They are composed of natural numbers, their negatives and zero. Example 1, 3, -4, -12, 0, … This can be done in the notebooks or on vocabulary cards. Whatever system you use 

Natural Numbers These are counting numbers. They include 1,2,3,… Closure of Natural numbers They are closed under addition and multiplication only. Integers They are composed of natural numbers, their negatives and zero. They include 2, -6, 0, -4, 7, …

Closure of integers Integers are closed under addition, multiplication and subtraction. Example Write two cases showing that integers are not closed under division but they are closed under multiplication.

homework Natural numbers are closed under division. Criticize or ratify the statement using an example.

Answers to the homework

THE END