Download Day-143-Presentation-Number theory with closure(Day 1)

DAY 143 NUMBER THEORY WITH
CLOSURE (DAY 1)
INTRODUCTION
In day to day life, we use numbers in calculation, in
quantifying items, measuring as 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,…
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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
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Integers
They are composed of natural numbers, their
negatives and zero. Example 1, 3, -4, -12, 0, …
Natural Numbers
These are counting numbers. They include 1,2,3,…
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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.
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Example
Write two cases showing that integers are not
closed under division but they are closed under
multiplication.
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HOMEWORK

Natural numbers are closed under division.
Criticize or ratify the statement using an
example.
ANSWERS TO THE HOMEWORK
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THE END