MA121 Arithmetic Of Integers And Real Numbers
Questions With Accurate Solutions
a+b=b+a Correct Answer - Commutative of Addition
(a+b)+c=a+(b+c) Correct Answer - associativity of addition
a*b=b*a Correct Answer - commutativity of multiplication
(a*b)*c=a*(b*c) Correct Answer - commutativity of multiplication
a*(b+c)=a*b+a*c Correct Answer - left distributivity of multiplication over
addtion
there exist a real number 0 such that for every a is real number, a+0=a
Correct Answer - additive identity element
for every a which is a real number, there exists a, b are both real numbers
such that a+b=0 Correct Answer - additive identity element
for every a is a real number there exists a and b are both real numbers such
that a +b = 0 Correct Answer - additive inverse
there exists a real number 1 such that for every a that is a real number, a *1 =a
Correct Answer - multiplicative identity element
, for every a that is a real number and a is not equals to 0 there exists a and b
are both real numbers such that a *b =1 Correct Answer - multiplicative
inverse
x=x Correct Answer - relexitivity
in real number, there is only and only one additive identity called 0 Correct
Answer - uniqueness of additive identity
in real number, there is one and only one multiplicative identity, called 1
Correct Answer - uniqueness of multiplicative identity
every a that is a real number has one and only one additive inverse, denoted
by-a, such that a+ (-a)=0. for a that is a real number, its additive inverse -a is
also called the negative of a Correct Answer - uniqueness of additive
inverse
every a that is a real number that is not 0 had one and only one multiplicative
inverse, denoted by a^-1, such that a*a^(-1)=1. for a that is a real number and
a that is not 0, its multiplicative inverse a ^(-1) is also called the reciprocal of a
Correct Answer - uniqueness of multiplicative inverse
for a,b,c that are real numbers, (a+b)*c=ac+bc Correct Answer - right
distributivity
Questions With Accurate Solutions
a+b=b+a Correct Answer - Commutative of Addition
(a+b)+c=a+(b+c) Correct Answer - associativity of addition
a*b=b*a Correct Answer - commutativity of multiplication
(a*b)*c=a*(b*c) Correct Answer - commutativity of multiplication
a*(b+c)=a*b+a*c Correct Answer - left distributivity of multiplication over
addtion
there exist a real number 0 such that for every a is real number, a+0=a
Correct Answer - additive identity element
for every a which is a real number, there exists a, b are both real numbers
such that a+b=0 Correct Answer - additive identity element
for every a is a real number there exists a and b are both real numbers such
that a +b = 0 Correct Answer - additive inverse
there exists a real number 1 such that for every a that is a real number, a *1 =a
Correct Answer - multiplicative identity element
, for every a that is a real number and a is not equals to 0 there exists a and b
are both real numbers such that a *b =1 Correct Answer - multiplicative
inverse
x=x Correct Answer - relexitivity
in real number, there is only and only one additive identity called 0 Correct
Answer - uniqueness of additive identity
in real number, there is one and only one multiplicative identity, called 1
Correct Answer - uniqueness of multiplicative identity
every a that is a real number has one and only one additive inverse, denoted
by-a, such that a+ (-a)=0. for a that is a real number, its additive inverse -a is
also called the negative of a Correct Answer - uniqueness of additive
inverse
every a that is a real number that is not 0 had one and only one multiplicative
inverse, denoted by a^-1, such that a*a^(-1)=1. for a that is a real number and
a that is not 0, its multiplicative inverse a ^(-1) is also called the reciprocal of a
Correct Answer - uniqueness of multiplicative inverse
for a,b,c that are real numbers, (a+b)*c=ac+bc Correct Answer - right
distributivity