Numbers

Question 0

If you include a 0 with natural numbers, you have ________ numbers

Answer 0

Whole

Question 1

Counting numbers like; 1,2,3,4,5… are also called ________ and ________ numbers

Answer 1

Natural, positive

Question 2

What kind of correspondence are numbers on a number line represented with dots or dashes to designate where on the in each number appears called?

Answer 2

One-to-One correspondence

Question 3

Numbers shown on a number line are called ________

Answer 3

integers

Question 4

What kinds of numbers do integers include?

Answer 4

Positive and Negative numbers

Question 5

What kinds of numbers are between numbers?

Answer 5

Fractions, decimals, or radicals

Question 6

What kind of numbers are fractions, decimals, and radicals known as, and what number system are they included in?

Answer 6

Non-integral rational numbers, rational number system

Question 7

A number that is calculated, but never ends is called an ________?
(√5)

Answer 7

Irrational number

Question 8

What kind of numbers make up real numbers?

Answer 8

Rational and irrational numbers

Question 9

What is a digit?

Answer 9

A single number

Question 10

What are numerals?

Answer 10

Sets of digits.

Example: 635, number: six hundred thirty-five, numeral: 635

Question 11

What is an expression, what does it do, and what can it contain?

Answer 11

An expression tells “how many” in terms of a number, or some representation of a number. It can contain words as well.

Question 12

Equivalent expressions use?

Answer 12

An equals sign, =

Question 13

What does a number sentence do?

Answer 13

It is a way of showing that two expressions have a relationship

Question 14

What does this sign mean? ≠ or ^1

Examples: 5 ≠ 15, 6^1seven

Answer 14

Is not equal to.

Question 15

What does this sign mean? <

Answer 15

Is less than

Question 16

What does this sign mean? >

Answer 16

Is greater than

Question 17

What does this sign mean? £ or ≤

Example: 10≤10

Answer 17

Is less than or equal to

Question 18

What does this sign mean? ³ or ≥

Example: 25≥25, 100 ³ 25

Answer 18

Is greater than or equal to

Question 19

The following is an example of _________?

Examples: 21n
32+6x
5(3-2n)

Answer 19

Algebraic expressions

Question 20

The following are examples of ____________?

Examples: 21n>60
32+6x=44
5(3-2n)= -5

Answer 20

Algebraic sentences or equations

Question 21

What is a variable?

Example: often use a letter for a variable, ‘x’

Answer 21

A symbol that holds the place for numerals in expressions or number sentences. Represents an unknown quality.

Question 22

What is an open sentence?

Answer 22

A number sentence that contains a variable

Question 23

What is a closed sentence?

Answer 23

A number sentence that does NOT contain a variable

Question 24

What is a constant?
Example: 2 tens + 6 ones = 32, false number sentence
2 tens + 6 ones = 26, true number sentence
2 tens + x ones = 26, x= 6, 6 is the constant

Answer 24

One value that makes the variable true

Question 25

What is an equality or an equation?

Example: 3+2=5
What number plus six equals thirteen? x+6=13

Answer 25

A number sentence in which expressions to the left of the equals sign is equivalent to the expressions on the right of the equals sign.

Question 26

What are axioms?

Answer 26

The 3 equations that are true for all numbers, laws for numbers.
Can be called properties of numbers or properties of equality.

Question 27

What does the Reflective Axiom or Reflective Property state?

Answer 27

Any quantity is equal to itself.

Example: A=A

Question 28

What does the Symmetric Axiom, or Symmetric Property state?

Answer 28

If one quantity is equivalent to another, you can switch which side of the equals sign they are on.

Example: If A=B, then B=A

Question 29

What does the Transitive Axiom, or Transitive Property state?

Answer 29

It two quantities are equal to a third quantity, then they are equal to each other.

Example: If A=B and B=C, then A=C

Question 30

What does the Substitution Principle state, and what properties does it apply to?

Answer 30

The substitution principle states that for any numbers A & B, if A=B, then A and B may be substituted for each other. This applies to the Symmetric and Transitive Properties

Question 31

Why are numbers called constants?

Answer 31

Because they constantly have the same value.