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Adding Hundreds, Tens and Ones - Addition and Subtraction within 100, Mathematics Video Lecture - Class 6
FAQs on Adding Hundreds, Tens and Ones - Addition and Subtraction within 100, Mathematics Video Lecture - Class 6
| 1. What is the concept of adding hundreds, tens, and ones in mathematics? |  |
Ans. Adding hundreds, tens, and ones in mathematics involves adding numbers in their respective place values. Starting from the rightmost digit, we add the ones place, then the tens place, and finally the hundreds place. This helps us in accurately adding multi-digit numbers.
| 2. How do we add numbers with different place values, such as hundreds, tens, and ones? | |
Ans. To add numbers with different place values, we first align the numbers vertically according to their place values. We start adding from the rightmost digit (ones place) and carry over any excess value to the next place value. We continue this process until we have added all the digits, ensuring the correct addition of hundreds, tens, and ones.
| 3. Can you provide an example of adding hundreds, tens, and ones? | |
Ans. Sure! Let's add 345 and 256.
345
+ 256
------
601
In this example, we start by adding the ones place: 5 + 6 = 11. We write down 1 and carry over 1 to the tens place. Then, we add the tens place: 4 + 5 + 1 (carried) = 10. We write down 0 and carry over 1 to the hundreds place. Finally, we add the hundreds place: 3 + 2 + 1 (carried) = 6. The result is 601.
| 4. Can you explain the concept of subtraction within 100? | |
Ans. Subtraction within 100 involves subtracting numbers less than or equal to 100. Similar to addition, we align the numbers vertically according to their place values. Starting from the rightmost digit (ones place), we subtract the corresponding digits and, if necessary, borrow from the next higher place value. This process continues until all the digits have been subtracted.
| 5. Could you provide an example of subtraction within 100? | |
Ans. Certainly! Let's subtract 87 from 100.
100
- 87
-------
13
In this example, we start by subtracting the ones place: 0 - 7 is not possible, so we borrow 1 from the tens place. This becomes 10 - 7 = 3. Then, we subtract the tens place: 9 - 8 = 1. Finally, we subtract the hundreds place (which is zero in this case). The result is 13.
Text Transcript from Video
- [Voiceover] So I have
the number 163 and that is
the same as, I have a
one in the 100s place,
so that's one hundred.
Plus six 10s
Plus three ones, three in the ones place.
Do that in the color blue which
I have for the ones place.
And I've drawn that out here
where I actually draw 163 squares.
And you see it as one 100, six 10s.
One, two, three, four, five, six 10s.
And three ones.
So this number right over here, 163,
is the same thing as 100
plus six 10s plus three ones.
And if you wanna think
about what it looks like,
this is 163 things.
You see the 100, you see the six 10s.
And you see the three ones.
Now I now wanna add the number 324 to 163.
So 324 is, if we look at
the 100s place, it's 300s.
It's two 10s,
Three 100s plus two 10s,
And four ones, so plus four ones.
And we see that right over here drawn out,
or I guess all the boxes.
So 324 boxes, this is 324 boxes.
You have three 100s, one two three 100s,
Two 10s, one two 10s,
And four ones.
And so this number 324 is three 100s,
two 10s, and four ones.
And if you wanna think
about how many boxes it is,
it's that many, and you see them.
They are grouped into three groups of 100,
that's the 300s,
two groups of 10, that's the two 10s,
and then four ones.
So now let's add them together.
So let's first look at the ones place.
So the ones place you're
gonna have three ones
plus four ones,
well that's gonna be,
let me do this in blue.
That's going to be seven ones.
Three ones plus four
ones, that is seven ones.
A seven in the ones place is seven ones.
And we see that right over here.
Three ones plus four
ones, that's seven ones.
Now I have six 10s and two 10s,
well if I add them together
I'm gonna have eight 10s.
If I have six 10s and two 10s,
the six and this two
they're in the 10s place.
So this represents six 10s,
this represents two 10s.
Six 10s plus two 10s is eight 10s.
And we also see it here,
six 10s plus two 10s is eight 10s.
And finally we have one 100
plus another three 100s.
So that's going to be four 100s.
And you see them right over here,
one, two, three, four.
Four hundreds, let me circle all of these.
100 plus 300 is 400.
So 163 plus 324 is 487.
Four 100s, eight 10s, and seven ones.
the number 163 and that is
the same as, I have a
one in the 100s place,
so that's one hundred.
Plus six 10s
Plus three ones, three in the ones place.
Do that in the color blue which
I have for the ones place.
And I've drawn that out here
where I actually draw 163 squares.
And you see it as one 100, six 10s.
One, two, three, four, five, six 10s.
And three ones.
So this number right over here, 163,
is the same thing as 100
plus six 10s plus three ones.
And if you wanna think
about what it looks like,
this is 163 things.
You see the 100, you see the six 10s.
And you see the three ones.
Now I now wanna add the number 324 to 163.
So 324 is, if we look at
the 100s place, it's 300s.
It's two 10s,
Three 100s plus two 10s,
And four ones, so plus four ones.
And we see that right over here drawn out,
or I guess all the boxes.
So 324 boxes, this is 324 boxes.
You have three 100s, one two three 100s,
Two 10s, one two 10s,
And four ones.
And so this number 324 is three 100s,
two 10s, and four ones.
And if you wanna think
about how many boxes it is,
it's that many, and you see them.
They are grouped into three groups of 100,
that's the 300s,
two groups of 10, that's the two 10s,
and then four ones.
So now let's add them together.
So let's first look at the ones place.
So the ones place you're
gonna have three ones
plus four ones,
well that's gonna be,
let me do this in blue.
That's going to be seven ones.
Three ones plus four
ones, that is seven ones.
A seven in the ones place is seven ones.
And we see that right over here.
Three ones plus four
ones, that's seven ones.
Now I have six 10s and two 10s,
well if I add them together
I'm gonna have eight 10s.
If I have six 10s and two 10s,
the six and this two
they're in the 10s place.
So this represents six 10s,
this represents two 10s.
Six 10s plus two 10s is eight 10s.
And we also see it here,
six 10s plus two 10s is eight 10s.
And finally we have one 100
plus another three 100s.
So that's going to be four 100s.
And you see them right over here,
one, two, three, four.
Four hundreds, let me circle all of these.
100 plus 300 is 400.
So 163 plus 324 is 487.
Four 100s, eight 10s, and seven ones.
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Nov 14, 2024 Last updated |
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