Real Numbers System and standard properties of real #'s

Question 1

What is a Real Number

Answer 1

numbers that can be found on the number line

Question 2

What’s an Rational number

Answer 2

a number that can be expressed as the quotient of fraction of 2 integers, a numerator and a nonzero denominator.

Question 3

What’s an integer

Answer 3

A whole number that’s not a fraction its a positive natural number or a negative integer

Question 4

3/5 is in what category of the number system?

Answer 4

Rational

Question 5

√72 is what kind of number?

Answer 5

Irrational

Question 6

What’s an Irrational number?

Answer 6

A real number that cannot be made by dividing 2 integers. Irrational numbers have decimal expansions that neither terminate nor become periodic. Every transcendental number is irrational.

Question 7

73 is what kind of number?

Answer 7

A natural number / Whole number

Question 8

pi is what kind of number?

Answer 8

irrational

Question 9

-39 is what kind of number?

Answer 9

integer

Question 10

290/840 is what king of number

Answer 10

rational

Question 11

what is commutative property?

Answer 11

this applies to real numbers operations when the order of numbers doesn’t affect the result, real numbers are commutative with addition and multiplication

Question 12

what is associative property?

Answer 12

This applies to real number operations if numbers can be grouped differently and still produce the same result. Real numbers are associative with addition and multiplication, but not with subtraction or division.

Question 13

(a+b)+c=a+(b+c) is what kind of property?

Answer 13

associative

Question 14

What is distributive property

Answer 14

when simplifying an expression with parentheses

Question 15

a(b+c)=a⋅b+a⋅c, or that

(b+c)a=b⋅a+c⋅a. is what kind of property?

Answer 15

distributive

Question 16

What is identity property

Answer 16

the number or circumstance by which you can perform an operation on a real number and still maintain its original identity.

Question 17

0 is considered to which property?

Answer 17

identity

Question 18

a+0=a and a*1=a is what kind of property

Answer 18

identity

Question 19

What is closure property?

Answer 19

the affect or change of a type number when an operation is performed. Real numbers are considered closed under addition, subtraction, multiplication, and division as performing and of those operations between 2 real numbers will result in another real number.

Question 20

if A and B are real numbers then a+b is what?

Answer 20

a real number (closure property)

Question 21

What is the inverse property?

Answer 21

the circumstances in which an operation can be performed on a real number to result in the identity of that operation

Question 22

a+(−a)=0 and a⋅1a=1 is what property?

Answer 22

inverse

Question 23

√a= a+b / 2*√b (b is the nearest perfectly squared number such as 2)

Answer 23

how to find square root of prime number

Question 24

What’s a prime number?

Answer 24

Any whole number greater than 1 that is divisible only by 1 and itself, is defined as a prime number.

Question 25

2 is considered a ____ number

Answer 25

prime

Question 26

a^m/n =

Answer 26

n√a^m

Question 27

What is a constant

Answer 27

every numerical term w/out a variable

Question 28

What is addition property of equality?

Answer 28

adding the same number to both sides of an equation produces an equivalent equation

Question 29

What property is this? if a=b then a+c=b+c

Answer 29

Addition property of equality

Question 30

What’s subtraction property of equality

Answer 30

subtracting the same number from both sides of an equation produces an equivalent equation

Question 31

multiplication property of equality

Answer 31

multiplying both sides of an equation by the same number produces an equivalent equation

Question 32

what property is this? if a=b then ac=bc

Answer 32

multiplication property of equality

Question 33

division property of equality

Answer 33

dividing both sides of an equation by the same number produces an equivalent expression

Question 34

What property is this? if a=b then

Question 35

What property is this? if a=b then

Question 36

What’s a significant digit?

Answer 36

is a digit in a measurement that carries a meaning in the precision of the number.

Question 37

All nonzero numbers are…

Answer 37

significant

Question 38

zeros between two other significant numbers are…

Answer 38

significant

Question 39

zeros on the end of numbers w/ decimals are…

Answer 39

significant

Question 40

zeros at the end of a number without a desimal are…

Answer 40

not significant

Question 41

numbers to the left of the first nonzero nuber in a decimal are…

Answer 41

not significant

Question 42

0.000020 has how many significant digits?

Answer 42

2