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GED Math Decimals! | Get Sum Math | YouTubeToText
YouTube Transcript: GED Math Decimals!
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Some of you haven't multiplied decimals
since the Reagan administration. So,
let's practice. Now, you don't have to
stack them. That's just for addition or
subtraction. So, we're going to start on
the bottom right there. Okay. 4 * 2, 8.
Then 4 * 1, 4. 4 * 4, 16. Now, the
second number gets a little hairy
because you may remember you have to put
a zero right there. So once you put it
then you could just do 3 * 2 6 and carry
on your merry way. 3 * 1 3 3 * 4 12
from here you may be thinking okay I
think it's addition maybe subtraction
but multiplication is addition because 3
* 2 same thing as 3 + 3 or two added
three times. So therefore, with these
guys, we're going to add. And then
you'll start on the right side. 8 + 0 8
4 + 6 10 carry the 1. 1 + 6 7 + 3 10
carry the 1. 1 + 1 2 + 2 4 and 1. Now
we're going to take care of the decimal
at the end of the problem. You just
count how many numbers are to the right
of the decimal in the original. one,
two, three. Or another way that people
do it is they count in one, two like
that and one like that for a grand total
of three. Then it's a reminder, you're
going to count in one, two, three to the
left for the final and put it right
there. So 14.008
and that is our final answer there.
Okay, let's do it. 8 * 5 40 carry the 4.
8 * 7 56 + 4 60 carry the 6.
8 * 9 72 + 6 78.
And then don't forget your zero. And
then you're good. Okay. 1 * 5 5 1 * 7 7.
And 1 * 9. Then let's add these up.
right side. Zero, five, 8 + 7, 15. Carry
the one. And then you could do a little
1 + 9 action. 10 + 7 17.
Okay, let's count the decimals. Top
number, three of them. Middle one or
bottom number, one of them. Grand total
of four. Count from right to left. And
right there.
By the way, if these are written next to
each other, you'll always stack the one
that has less numbers underneath and
then you can do it like that.
Let's check out a division one here.
What is the value of this? Now, we're
going to use long division. Which one
goes where for this problem? If you were
thinking two on the outside, that's
right. And then 10 on the inside. In
other words, whatever you're dividing
by, that thing goes on the outside.
Okay? So, 0.03
on the outside, the other one on the
inside. You're going to go ahead and
move it to the end of the number on the
outside. So, two places to the right.
That'll just turn it into a whole number
three. Since we moved it twice to the
right, we're going to move the one on
the inside twice to the right. Right
there. And then you can just bring it
straight up.
From here, this is the same thing as
this problem. Much cleaner, much nicer.
So, just to recap, you move the decimal,
then you get into the division.
Now, three into five. That one's just
going to go one time. So, we did the
division. And then multiplication. 1 *
3. Three. Then you're going to move to
subtraction. So you're always going to
do them in that order over and over
again. Okay, subtracting those two, we
get two. But this is where you bring
down the next number. So 24
3 into 24 8. 8 * 3 24. Subtract zero.
And we'll go ahead and bring down the
next number. But let's pause here
because this is important. 3 doesn't go
into two. So therefore, it goes in zero
times. So if you bring down the helper
number, but it still doesn't help, then
it's got to be a zero there.
Okay, now no worries. We're just going
to keep going. Let's put our decimal and
let's bring down the seven instead.
Okay, 3 into 27. That'll go nine times.
9 * 3 27. No remainder. And that is it.
Once you bring down the last number, you
don't have a remainder. Then that is our
answer 180.9.
One way to contextualize this is how
many times can three cents go into $542.
You could just think of it like money
and it can go in 180 times. So that's
why that answer makes sense.
And our last one. Now, you may be
thinking, "Hey, man, what's the deal? I
thought this was a decimal video. What's
with the fractions?" Well, we're going
to convert them into decimals. That'll
be the easiest way to compare these. So,
once again, we're going to use long
division here. But the way we could say
this is four / five. So, therefore, five
is on the outside, four on the inside.
Okay. How many times can five go into
four? Well, it's a little discouraging
because zero times 0 * 5 0 subtract and
we get right back to where we started.
But lucky for us, we got an ace up our
sleeve because four is the same thing as 4.0.
4.0.
So therefore, we could bring down the
zero. Continue on. Now, if you're not
sure how many times five goes into 40,
you could just count by fives. One, two,
three, four, five, six, seven, eight. So
bring up the decimal and eight times. So
eight times five, perfect 40. Subtract
those but no remainder. So we're done.
In other words, four fths is the same
thing as 0.8. Then we got 90 cents, 80
cents, 77 cents. So we're well on our
way. But in terms of money, 3 over4,
same thing as three quarters. So that's
actually 75 cents there. But let's go
ahead and verify it. We'll do our long
division here. So there it is. There's
our 75 cents. And we're good. So
finally, smallest to biggest, we got 75
cents. It's going to start with 3/4s.
Could be B, could be D, but then the
next one's got to be 77. So, it's got to
be B because then 4 fths, 80 cents, 90
cents, and we're good. So, keep an eye
out for all of these types for the no
calculator section. Good luck. Let me
know what issues you run into. You got
these. We'll see you in the next video. Toodles.
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