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Examples: Representing Decimals on Number Line Video Lecture | Mathematics (Maths) Class 6
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FAQs on Examples: Representing Decimals on Number Line Video Lecture - Mathematics (Maths) Class 6
| 1. Can you provide an example of representing a decimal on a number line? |  |
Ans. Sure! Let's say we want to represent the decimal 0.5 on a number line. We can mark 0 as the starting point and then divide the space between 0 and 1 into 10 equal parts. Since 0.5 is halfway between 0 and 1, we would mark it exactly in the middle of these two points on the number line.
| 2. How do we represent decimals less than 0 on a number line? | |
Ans. To represent decimals less than 0 on a number line, we start by marking 0 as the starting point. Then, we divide the space to the left of 0 into equal parts. For example, if we want to represent -0.7, we can divide the space into 10 equal parts and mark -0.7 seven-tenths of the way from 0 towards the left.
| 3. What is the importance of representing decimals on a number line? | |
Ans. Representing decimals on a number line helps us visualize their relative positions and understand their magnitudes. It allows us to compare decimals and identify their relationships, such as which decimals are greater or smaller. The number line is a useful tool for understanding the concept of decimals and their values.
| 4. How can we represent decimal numbers with more than one decimal place on a number line? | |
Ans. When representing decimal numbers with more than one decimal place on a number line, we follow a similar approach as before. We mark the whole number part on the number line and then divide the remaining space into equal parts based on the place value of the decimal. For example, to represent 3.75, we mark 3 on the number line and divide the space between 3 and 4 into 10 equal parts. Then, we mark 7 tenths of the way towards 4 and 5 hundredths of the way towards 7.
| 5. Can you explain how to represent a repeating decimal on a number line? | |
Ans. Representing a repeating decimal on a number line requires understanding its pattern. Let's take the example of 0.3333... (where the 3s repeat infinitely). We can start by marking 0 on the number line and then divide the space between 0 and 1 into 10 equal parts. Since the decimal repeats the digit 3, we mark 0.3 on the first tenth and 0.33 on the second tenth. Continuing this pattern, we can keep marking the repeating digits on the corresponding parts of the number line.
Text Transcript from Video
hello friends this video on decimals
part 11 is brought to you by exam feel
calm no more fear from exam question
number 4 write the decimal number
represented by the points ABCD on the
given number line so let's see how do we
locate these points or how do we find
out waters ABC and D okay now when we
closely look at the number line what do
we see that we have a zero we have the
zero here and this is fun now in between
zero and one how many divisions do we
have one two three four five say seven
eight nine ten so that means this zero
to one every one division again one two
two two two three each of these has been
divided into ten equal parts or ten
divisions right so that means this one
division how much would be one division
it would be one out of 10 that is 1 by
10 so 1 by 10 is nothing but 0.1 again
what would be this this would be zero
point 2 this would be 0.3 0.4 0.5 6 7 &
8 so what is a a is 0.8 similarly what
would be B so B lies after 1 so if this
is 1 this would be 1.1 1.2 1.3 so P is
1.3 now what is C so C is again after 2
so if this is 2 this is 2 point 1 this
is 2 point 2 so C would be 2 point 2
what about D so D is just one before 3
so that means this would be 2 point 9 so
that you know this becomes 10 as this
becomes 3 so D would be 2 point 9 so in
this pattern we could determine the
values of a b c d question number 5
between which two numbers in tenths
place on the number line does each of
the given number line ok so the first
number that we are given is 0.9
- now 0.92 can be written as 92 by 100
right 92 first we write the number
without the decimal point and in the
denominator we put as many zeros as
there are digits after the decimal point
so there are two digits after the
decimal point so two zeros so this can
be very well written as ninety plus two
divided by hundred so this can be
written as ninety by hundred plus two by
100 now this is ninety by hundred what
would be ninety by hundred you have to 0
so you will place the decimal point
before two digits so it will be zero
point nine plus point two zero - okay so
where does it lie it lies somewhere
after zero point nine that is for sure
but it lies before zero point before one
so that means it lies between zero point
nine and one okay now let's look at the
next one which is zero point zero six so
zero point zero six can be written in
the form of fractions as six five
hundred so this can be written as ten
minus four divided by hundred right so
this can be written as 10 by 100 minus
four five hundred so this 4 by hundred
is a proper fraction so its value will
be less than one the 10 by hundred would
be zero point one minus four by hundred
so this 4 by hundred is something which
is less than one so zero point one you
subtract something from the zero point
one so you get this so that means it
lies before zero point one so it lies
between zero and zero point one because
this value is less than 0.1 so that
means it lies somewhere before zero
point one and it is definitely greater
than zero so it lies between zero and
zero point one thank you please visit
exam for your home for free quality
education you can learn with a simple
four-step learning process wherein you
can watch video lessons you can
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and you can take a free online test we
have content for class six to twelve on
physics chemistry mathematics and
biology along with practical videos so
please subscribe to our channel for
daily updates thank you
part 11 is brought to you by exam feel
calm no more fear from exam question
number 4 write the decimal number
represented by the points ABCD on the
given number line so let's see how do we
locate these points or how do we find
out waters ABC and D okay now when we
closely look at the number line what do
we see that we have a zero we have the
zero here and this is fun now in between
zero and one how many divisions do we
have one two three four five say seven
eight nine ten so that means this zero
to one every one division again one two
two two two three each of these has been
divided into ten equal parts or ten
divisions right so that means this one
division how much would be one division
it would be one out of 10 that is 1 by
10 so 1 by 10 is nothing but 0.1 again
what would be this this would be zero
point 2 this would be 0.3 0.4 0.5 6 7 &
8 so what is a a is 0.8 similarly what
would be B so B lies after 1 so if this
is 1 this would be 1.1 1.2 1.3 so P is
1.3 now what is C so C is again after 2
so if this is 2 this is 2 point 1 this
is 2 point 2 so C would be 2 point 2
what about D so D is just one before 3
so that means this would be 2 point 9 so
that you know this becomes 10 as this
becomes 3 so D would be 2 point 9 so in
this pattern we could determine the
values of a b c d question number 5
between which two numbers in tenths
place on the number line does each of
the given number line ok so the first
number that we are given is 0.9
- now 0.92 can be written as 92 by 100
right 92 first we write the number
without the decimal point and in the
denominator we put as many zeros as
there are digits after the decimal point
so there are two digits after the
decimal point so two zeros so this can
be very well written as ninety plus two
divided by hundred so this can be
written as ninety by hundred plus two by
100 now this is ninety by hundred what
would be ninety by hundred you have to 0
so you will place the decimal point
before two digits so it will be zero
point nine plus point two zero - okay so
where does it lie it lies somewhere
after zero point nine that is for sure
but it lies before zero point before one
so that means it lies between zero point
nine and one okay now let's look at the
next one which is zero point zero six so
zero point zero six can be written in
the form of fractions as six five
hundred so this can be written as ten
minus four divided by hundred right so
this can be written as 10 by 100 minus
four five hundred so this 4 by hundred
is a proper fraction so its value will
be less than one the 10 by hundred would
be zero point one minus four by hundred
so this 4 by hundred is something which
is less than one so zero point one you
subtract something from the zero point
one so you get this so that means it
lies before zero point one so it lies
between zero and zero point one because
this value is less than 0.1 so that
means it lies somewhere before zero
point one and it is definitely greater
than zero so it lies between zero and
zero point one thank you please visit
exam for your home 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 six to twelve on
physics chemistry mathematics and
biology along with practical videos so
please subscribe to our channel for
daily updates thank you
About this Video
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Oct 24, 2024 Last updated |
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