M2S2 Part 1

Question 1

all these numbers live on the line called the

Answer 1

real number line

Question 2

provides us with a picture of a collection of

numbers

Answer 2

number line

Question 3

collection of

numbers

Answer 3

real numbers

Question 4

every point on the line corresponds to a

Answer 4

real number

Question 5

every real number corresponds to a

Answer 5

point on the line

Question 6

indicates that a number is included.

Answer 6

solid dot

Question 7

ndicates that a number is not included.

Answer 7

hollow dot

Question 8

refers to a number’s distance from zero

Answer 8

size

Question 9

are used to talk about size

Answer 9

bigger' and smaller’

Question 10

there is a natural left/right ordering on the number

line.

Answer 10

order

Question 11

used to talk about order.

Answer 11

greater than' and less

than’

Question 12

On a number line, real numbers are ordered

Answer 12

left to right,

lowest to highest

Question 13

One important property of the real numbers is that they are
dense; that is, between every two different real numbers (no
matter how close they are), there is another real number.

Answer 13

density property

Question 14

a collection with the following property:
given any object, either the object is in the
collection, or isn’t in the collection.

Answer 14

set

Question 15

The objects in a set are called

Answer 15

elements.

Question 16

used to express that something belongs

in a set

Answer 16

∈

Question 17

used to express that something does not belong

in a set

Answer 17

∉