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What is Additive Identity and Multiplicative Identity? Video Lecture | Advance Learner Course: Mathematics (Maths) Class 5
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FAQs on What is Additive Identity and Multiplicative Identity? Video Lecture - Advance Learner Course: Mathematics (Maths) Class 5
| 1. What is additive identity? |  |
Ans. Additive identity refers to the number that, when added to any other number, leaves the other number unchanged. In other words, it is the number that does not affect the result of an addition operation. For example, in the case of real numbers, the additive identity is 0 because adding 0 to any number does not change the value of that number.
| 2. What is multiplicative identity? | |
Ans. Multiplicative identity refers to the number that, when multiplied by any other number, leaves the other number unchanged. It is the number that does not affect the result of a multiplication operation. In the case of real numbers, the multiplicative identity is 1 because multiplying any number by 1 does not change the value of that number.
| 3. How does additive identity work in algebraic expressions? | |
Ans. In algebraic expressions, the additive identity is used to simplify and solve equations. When an algebraic expression contains variables, the additive identity allows us to add or subtract terms without changing the overall value of the expression. By adding or subtracting 0, which acts as the additive identity, we can manipulate and simplify expressions to solve for unknown variables.
| 4. Can the additive identity be applied to any mathematical operation? | |
Ans. The additive identity, which is 0, is specifically defined for addition operations. It represents the neutral element for addition. However, it cannot be applied to other mathematical operations such as multiplication, division, or exponentiation. These operations have their own respective identities, such as the multiplicative identity for multiplication.
| 5. What is the significance of the multiplicative identity in solving equations? | |
Ans. The multiplicative identity plays a crucial role in solving equations, particularly when dealing with variables. By multiplying both sides of an equation by the multiplicative identity, which is 1, we maintain the equality of the equation while simplifying the expression. This allows us to isolate the variable and find its value. The multiplicative identity ensures that the equation remains balanced throughout the solving process.
Text Transcript from Video
hello friends this video on whole
numbers part 10 is brought to you by
exam feel calm no more fear from exam
now that we have discussed about the
four main properties of whole numbers it
is time to talk about some other
important properties so the first thing
that we will discuss is additive
identity so zero is called the additive
identity now first let us try to
understand the meaning of additive
identity so additive identity is a
number which when added to a whole
number retains its identity what does
the meaning of identity identity means
the existence of someone like we see
that you know I want to get educated so
that I have my own identity that is I
have my own importance my own existence
so that is how we define identity now
when we say a number normally what
happens let's say you have a number five
the moment you add one to it what
happens the result becomes six so what
happened to find five ones over there
so five got transformed into six so the
identity of five is lost now can we have
a number which when added to five will
retain its identity that means even
after adding that number five will
remain as five so that number is nothing
but zero you add zero to any number
every number will remain the same and
that is why 0 is called additive
identity because this happens only when
you add 0 so you talk about any number 1
plus 0 gives 165 plus 0 gives 65 0 plus
0 gives 0 1 to 0 1 plus 0 gives 1 to 0 1
in all the cases 0 retains the identity
but there is a very special role that 0
plays in multiplication what happens
when 0 is multiplied to any number the
result is always 0 that means the number
completely loses its identity so in
addition
it keeps the number as it is and in
multiplication it makes the number zero
so that is why please remember that zero
is additive identity and not at all
multiplicative identity right so that's
additive identity then is there
something called the multiplicative
identity yes there is and that is 1
because 1 is a number which when
multiplied to any number it retains its
identity you talk about any number which
which whichever and whenever they get
multiplied with 1 the result is the same
number so when 0 is multiplied with 1 it
becomes 0 so 0 retains its identity you
consider a bigger number like this 12100
1 when multiplied with 1 gives 12100 1
so that is why one is called
multiplicative identity if whenever you
multiply it to any whole number the
result will be the same whole number
thank you please visit example.com for
free quality education you can learn
with a simple four-step learning process
wherein you can watch video lessons you
can ask your questions you can refer
notes and you can take a free online
test we have content for class 6 to 12
on physics chemistry mathematics and
biology along with practical videos so
please subscribe to our channel for
daily updates thank you
numbers part 10 is brought to you by
exam feel calm no more fear from exam
now that we have discussed about the
four main properties of whole numbers it
is time to talk about some other
important properties so the first thing
that we will discuss is additive
identity so zero is called the additive
identity now first let us try to
understand the meaning of additive
identity so additive identity is a
number which when added to a whole
number retains its identity what does
the meaning of identity identity means
the existence of someone like we see
that you know I want to get educated so
that I have my own identity that is I
have my own importance my own existence
so that is how we define identity now
when we say a number normally what
happens let's say you have a number five
the moment you add one to it what
happens the result becomes six so what
happened to find five ones over there
so five got transformed into six so the
identity of five is lost now can we have
a number which when added to five will
retain its identity that means even
after adding that number five will
remain as five so that number is nothing
but zero you add zero to any number
every number will remain the same and
that is why 0 is called additive
identity because this happens only when
you add 0 so you talk about any number 1
plus 0 gives 165 plus 0 gives 65 0 plus
0 gives 0 1 to 0 1 plus 0 gives 1 to 0 1
in all the cases 0 retains the identity
but there is a very special role that 0
plays in multiplication what happens
when 0 is multiplied to any number the
result is always 0 that means the number
completely loses its identity so in
addition
it keeps the number as it is and in
multiplication it makes the number zero
so that is why please remember that zero
is additive identity and not at all
multiplicative identity right so that's
additive identity then is there
something called the multiplicative
identity yes there is and that is 1
because 1 is a number which when
multiplied to any number it retains its
identity you talk about any number which
which whichever and whenever they get
multiplied with 1 the result is the same
number so when 0 is multiplied with 1 it
becomes 0 so 0 retains its identity you
consider a bigger number like this 12100
1 when multiplied with 1 gives 12100 1
so that is why one is called
multiplicative identity if whenever you
multiply it to any whole number the
result will be the same whole number
thank you please visit example.com for
free quality education you can learn
with a simple four-step learning process
wherein you can watch video lessons you
can ask your questions you can refer
notes and you can take a free online
test we have content for class 6 to 12
on physics chemistry mathematics and
biology along with practical videos so
please subscribe to our channel for
daily updates thank you
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Dec 22, 2024 Last updated |
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