Video Transcript
Column Subtraction of One-Digit
Numbers from Two-Digit Numbers
In this video, we’re going to learn
how to subtract a one-digit number from a two-digit number and how to record the
calculation and any regrouping in columns.
A class are having a craft
fair. One of the students has decided to
paint rocks. If she has 35 rocks and has already
painted eight of them, how many rocks does she still have to paint? This is a subtraction problem. To find out how many rocks the
student still has to paint, we need to subtract eight from 35. In this video, we’re learning about
column subtraction. Let’s use this method to solve our
problem. When we use the written method of
column subtraction, we write the number that we’re subtracting from at the top,
making sure that we put the tens digit in the tens column and the ones digit in the
ones column. The student had 35 rocks, and we
know that 35 has three 10s worth 30 and five ones.
So we know that we’ve written the
digits in the correct column in our place value table. We need to subtract eight from 35
because the student has already painted eight of her rocks. And we’ve written our eight digit
in the ones column. When we use the column subtraction
method, we always start by subtracting the ones first. We already know that the number 35
has three 10s worth 30 and five ones. We can model our number using three
10s blocks and five ones blocks. Let’s start by subtracting the
ones. We’ve got five ones in the number
35, and we need to subtract eight ones. Can you spot the problem? We don’t have enough ones. Five is less than eight, so we need
to regroup.
That means we need to take a group
of 10 or one of our tens blocks and add it to our ones. Now we have 15 ones. And we no longer have three 10s; we
only have two 10s, which are worth 20. So we can cross out the five ones
and write 15 ones instead. Now we can subtract in the ones
column. 15 ones take away eight ones. Here we go. We’ve crossed out eight of our
ones. We have seven ones left. Now we need to subtract in the tens
column. We don’t have three 10s
anymore. We have two. And there’s nothing to subtract
from our two 10s. So 35 subtract eight equals 27. If a student has 35 rocks and has
painted eight of them, she will have 27 rocks left to paint.
Let’s recap what we’ve learned
about subtracting one-digit numbers from two-digit numbers using the column
method. Step one: We write the calculation
in columns. It helps to use squared paper to
make sure that we write the ones digits in the ones column and the tens digits in
the tens column. Step two: We subtract the ones,
remembering to record any regrouping we have to do. And step three: Subtract the
tens. Let’s practice what we’ve learned
about column subtraction by answering some questions now.
Take away four from 65.
In this question, we have to
subtract a one-digit number from a two-digit number. And we have to use the column
subtraction method. The number we’re taking away from
is 65, which has six 10s and five ones. And we have to subtract four from
this number. Four is a one-digit number, so it
just has a ones digit. So the calculation has already been
written for us, which means we can start subtracting. And we always subtract the ones
first. The number 65 has five ones, and we
need to subtract four ones. This is quite an easy
calculation. Five take away four equals one. Five ones take away four ones
leaves us with one.
Now, all we need to do is subtract
in the tens column. There are six 10s and nothing to
subtract. This is because we’re subtracting a
one-digit number from a two-digit number. Six 10s take away no 10s leaves us
with six 10s. We didn’t need to do any
regrouping. We had enough ones to subtract
from. 65 subtract four is 61. When we subtract a one-digit number
from a two-digit number using column subtraction, first, we have to write out the
calculation. Then we subtract the ones, making
sure to record any regrouping we need to do. Then we subtract the tens. 65 subtract four equals 61.
Take away eight from 42. Hint: Regroup one 10 into 10
ones.
In this question, we have to
subtract our one-digit number, eight, from a two-digit number, 42. And we have to use the column
subtraction method. The calculation has been written
out for us. So we can start subtracting. When we’re subtracting using the
column subtraction method, we always start subtracting in the ones column. 42 has four 10s worth 40 and two
ones. We can model this number using four
tens blocks and two ones blocks. So we have two ones and we need to
subtract eight ones. You may have already realized we
don’t have enough ones to subtract eight. Two is less than eight.
Luckily, the question has given us
a hint. We’re told we need to regroup one
10 into 10 ones. This means we need to take one of
our 10s and we group it into 10 ones. So now we have three 10s and 12
ones. We need to make a note of what
we’ve done to our number. We can cross out our two ones and
write 12 ones. And we don’t have four 10s
anymore. We have three. Now that we’ve regrouped, we can
subtract in the ones column. 12 ones take away eight ones leaves
us with four ones. Now we just need to subtract in the
tens column. Because we’re subtracting a
one-digit number from a two-digit number, there’s nothing to subtract from our
tens. Three 10s take away no 10s leaves
us with three 10s. We took away eight from 42 using
the column subtraction method. 42 subtract eight equals 34.
Find the answer to the following
equation. 28 subtract six equals what.
In this question, we have to
subtract a one-digit number, which is the number six, from a two-digit number,
28. And we have to use column
subtraction. When we use column subtraction, we
always start by subtracting in the ones column. Number 28 has eight ones, and we
need to subtract six. What is eight subtract six? It’s two. Six plus two is eight. Eight subtract six is two. Now all we need to do is subtract
in the tens column. 28 has two 10s and six has no
10s. Two 10s subtract no 10s leaves us
with two 10s. 28 subtract six equals 22. We found the answer using column
subtraction. First, we subtracted in the ones
column. Then we subtracted in the tens
column to give us the answer 22.
Perform the following
subtraction. 24 subtract seven equals what.
In this question, we’re subtracting
a one-digit number, which is the number seven, from 24, which is a two-digit
number. And we’re using the column
subtraction method. We need to start by subtracting in
the ones column. 24 has four ones and we need to
subtract seven ones. Now we have a problem. Four is less than seven. We don’t have enough ones to
subtract from. We’re going to need to regroup. We need to regroup one of our tens
into 10 ones. So instead of having two 10s, we’ll
have one 10. And instead of having four ones,
we’ll have 14 ones. So now we can subtract in the ones
column. What is 14 subtract seven? 14 take away seven is seven.
Now all we have to do is subtract
in the tens column. And because we’re subtracting a
one-digit number from a two-digit number, there’s nothing to subtract from our one
remaining 10. One 10 take away no 10s leaves us
with one 10. 24 subtract seven equals 17. We used the column subtraction
method to find our answer. First, we subtracted in the ones
column. And we had to regroup one of our
10s into 10 ones. Then we subtracted in the tens
column to give us our answer of 17.
What have we learned in this
video? We have learned how to subtract a
one-digit number from a two-digit number using column subtraction. We learned that we always subtract
the ones first and record any regrouping. We also learned that after we
subtract the ones, we subtract the tens.