Math Principals

Question 1

If a and b are real numbers then a + b is a unique real number

Answer 1

closure property of addition

Question 2

associative property of addition

Answer 2

If a, b and c are real numbers then

(a+b)+c=a+(b+c)

Question 3

if a and b are real numbers then

a * b = b * a

Answer 3

commutative property of multiplication

Question 4

distributive property

Answer 4

If a, b, and c are real numbers then

a (b + c) = ab + ac

Question 5

commutative property of addition

Answer 5

if a and b are real numbers then

a + b = b + a

Question 6

commutative property of multiplication

Answer 6

if a and b are real numbers then

a * b = b * a

Question 7

closure property of multiplication

Answer 7

If a and b are real numbers then ab is a unique real number

Question 8

additive property of equality

Answer 8

for all real numbers a, b and c

a = b if and only if a + c = b + c

Question 9

multiplicative property of negative one

Answer 9

if a is a real number then

a (-1) = -a

Question 10

multiplication property of equality

Answer 10

for all real number a, b, and c where c <>0

a = b if and only if ac = bc

Question 11

If a, b and c are real numbers then

(ab)c=a(bc)

Answer 11

associative property of multiplication

Question 12

if a is a real number then

a (-1) = -a

Answer 12

multiplicative property of negative one

Question 13

for every nonzero real number a, there exists a unique real number 1 / a such that

a * (1/a) = (1/a) * (a) = 1

Answer 13

multiplicative inverse property

Question 14

if a is a real number

a (0) = 0

Answer 14

multiplication property of zero

Question 15

Exponents

Answer 15

If n is a positive integer and b is any real number then

b^n - bbbb…..b (n factors of b)

Question 16

If n is a positive integer and b is any real number then

b^n - bbbb…..b (n factors of b)

Answer 16

Exponents

Question 17

If a, b and c are real numbers then

(a+b)+c=a+(b+c)

Answer 17

associative property of addition

Question 18

if a and b are real numbers then

a + b = b + a

Answer 18

commutative property of addition

Question 19

multiplication property of zero

Answer 19

if a is a real number

a (0) = 0

Question 20

additive inverse property

Answer 20

for every real number a there exists a unique real number -a such that

a + (-a) = 0

Question 21

identity property of multiplication

Answer 21

if a is any real number, then

a(1) = a

Question 22

multiplicative inverse property

Answer 22

for every nonzero real number a, there exists a unique real number 1 / a such that

a * (1/a) = (1/a) * (a) = 1

Question 23

identity property of addition

Answer 23

if a is a real number, then

a + 0 = a

Question 24

for every real number a there exists a unique real number -a such that

a + (-a) = 0

Answer 24

additive inverse property

Question 25

associative property of multiplication

Answer 25

If a, b and c are real numbers then

(ab)c=a(bc)

Question 26

closure property of addition

Answer 26

If a and b are real numbers then a + b is a unique real number

Question 27

for all real number a, b, and c where c <>0

a = b if and only if ac = bc

Answer 27

multiplication property of equality

Question 28

if a is a real number, then

a + 0 = a

Answer 28

identity property of addition

Question 29

If a and b are real numbers then ab is a unique real number

Answer 29

closure property of multiplication

Question 30

if a is any real number, then

a(1) = a

Answer 30

identity property of multiplication

Question 31

If a, b, and c are real numbers then

a (b + c) = ab + ac

Answer 31

distributive property

Question 32

for all real numbers a, b and c

a = b if and only if a + c = b + c

Answer 32

additive property of equality