3.5.1.2 Integer Numbers.

Question 1

Define an Integer .

Answer 1

A whole number, both positive, negative and inclusive to 0.

Question 2

Integer denotation.

Answer 2

The letter Z

Z = {…,-3,-2,-1,0,1,2,3…}

Infinite amount of both negative and positive numbers in the set.

Can also be rational numbers as they can be described as a fraction.
e.g. 7 or 7/1.

Question 3

Define a rational number.

Answer 3

Numbers you make by dividing one integer by another (but not 0), aka fractions.

Question 4

Rational denotation.

Answer 4

The letter Q.

Rational number can also be expressed as a fraction, where p and q are integers and q is not equal to 0.

All integers are rational numbers.

Question 5

Define an irrational number.

Answer 5

Irrational number is a real number that can not be written as a simple fraction. The most common number of this is PI.

Question 6

Define a real number.

Answer 6

Typically represented by a decimal (or any other base) representation, as in 3.1416.

Used for measurement of physical things such as weight and height.

Question 7

Real denotation.

Answer 7

The letter R is used to denote a set of real numbers; this can include natural numbers, rational numbers and irrational numbers.

Question 8

Define an ordinal number.

Answer 8

Number that tells the position of something in a list, such as 1st, 2nd, 3rd etc.

When objects are placed in order, ordinal numbers are used to tell their position.

Ordinal - (ord) - order.

Question 9

Outline number systems in counting and measurement.

Answer 9

In mathematics, natural numbers are used for counting and ordering.
Real numbers are used for measurement not counting, we use real numbers to measure physical properties of objects such as height, weight, length, width etc.

Question 10

Outline number set relations.

Answer 10

Natural numbers are a subset of integers.
Integers are a subset of rational numbers.
Rational numbers are a subset of real numbers.