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Absolute value of integers - Math, Class 8 Video Lecture
FAQs on Absolute value of integers - Math, Class 8 Video Lecture
| 1. What is the absolute value of an integer? |  |
Ans. The absolute value of an integer is its distance from zero on the number line. It is always a non-negative value.
| 2. How do you calculate the absolute value of an integer? | |
Ans. To calculate the absolute value of an integer, we simply remove the negative sign (if any) from the number. If the number is already positive or zero, its absolute value remains the same.
| 3. What is the absolute value of 0? | |
Ans. The absolute value of 0 is 0. Since 0 is neither positive nor negative, its absolute value is 0.
| 4. Can the absolute value of an integer be a negative number? | |
Ans. No, the absolute value of an integer is always a non-negative number. It represents the distance of the integer from zero, so it cannot be negative.
| 5. How is the absolute value of an integer useful in mathematics? | |
Ans. The absolute value of an integer is useful in various mathematical concepts and calculations. It helps in determining the magnitude or size of a number without considering its sign. Absolute values are commonly used in solving equations, inequalities, and evaluating distances or differences between numbers.
Text Transcript from Video
Find the absolute value
of x when x is equal to 5,
x is equal to negative 10,
and x is equal to negative 12.
So the absolute value,
the way of writing it
is almost more complicated
than what it really is.
The absolute value is really
just the distance of x from 0.
So let me just draw a fast
number line over here.
So let's just put
0 right over here,
since we're thinking
about the distance from 0.
So let's just think
about the absolute value.
Let's think about
the absolute value
of x when x is equal to 5.
So that's equivalent to
the absolute value of 5.
We just substituted 5 for x.
The absolute value of 5 is
the distance of 5 from the 0.
So you go 1, 2, 3, 4, 5.
5 is exactly 5 to
the right of 0.
So the absolute
value of 5 is just 5.
Now I think you
already get to see
this is a pretty
straightforward concept.
Now let's do something a
little more interesting,
the absolute value of x when
x is equal to negative 10.
So let's just put
negative 10 in for x.
This is the distance that
negative 10 is from 0.
And so let's just go negative
1, negative 2, negative 3,
negative 4, negative 5, negative
6, negative 7, negative 8,
negative 9, negative 10.
I should extend the
number line more.
So this right here
is negative 10.
So how far is it away from 0?
Well, it's 10 to the left of 0.
So you put a 10 here.
And so in general,
absolute value
will always be a
positive quantity.
And when we're rethinking
about just absolute values
of just numbers, it's
just going to be,
really, the positive
version of that number.
Let's do one more.
Well, they tell us to do one
more, the absolute value of x
when x is equal to negative 12.
So we have the absolute
value of negative 12.
We don't even to look
at the number line.
It's just going to be
the positive version
of negative 12.
It's just going
to be equal to 12.
And this is just saying that
negative 12 is 12 away from 0.
And we could draw it over here.
This is negative 11.
Negative 12 is right over here.
It is 1, 2, 3, 4, 5, 6, 7,
8, 9, 10, 11, 12 away from 0.
of x when x is equal to 5,
x is equal to negative 10,
and x is equal to negative 12.
So the absolute value,
the way of writing it
is almost more complicated
than what it really is.
The absolute value is really
just the distance of x from 0.
So let me just draw a fast
number line over here.
So let's just put
0 right over here,
since we're thinking
about the distance from 0.
So let's just think
about the absolute value.
Let's think about
the absolute value
of x when x is equal to 5.
So that's equivalent to
the absolute value of 5.
We just substituted 5 for x.
The absolute value of 5 is
the distance of 5 from the 0.
So you go 1, 2, 3, 4, 5.
5 is exactly 5 to
the right of 0.
So the absolute
value of 5 is just 5.
Now I think you
already get to see
this is a pretty
straightforward concept.
Now let's do something a
little more interesting,
the absolute value of x when
x is equal to negative 10.
So let's just put
negative 10 in for x.
This is the distance that
negative 10 is from 0.
And so let's just go negative
1, negative 2, negative 3,
negative 4, negative 5, negative
6, negative 7, negative 8,
negative 9, negative 10.
I should extend the
number line more.
So this right here
is negative 10.
So how far is it away from 0?
Well, it's 10 to the left of 0.
So you put a 10 here.
And so in general,
absolute value
will always be a
positive quantity.
And when we're rethinking
about just absolute values
of just numbers, it's
just going to be,
really, the positive
version of that number.
Let's do one more.
Well, they tell us to do one
more, the absolute value of x
when x is equal to negative 12.
So we have the absolute
value of negative 12.
We don't even to look
at the number line.
It's just going to be
the positive version
of negative 12.
It's just going
to be equal to 12.
And this is just saying that
negative 12 is 12 away from 0.
And we could draw it over here.
This is negative 11.
Negative 12 is right over here.
It is 1, 2, 3, 4, 5, 6, 7,
8, 9, 10, 11, 12 away from 0.
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Dec 01, 2024 Last updated |
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