Solve Vertical Subtraction: 12001 minus 1542

Video Solution

Solution Steps

00:00 Solve

00:03 Each time consider a shortage of 2 digits, and then we'll place

00:07 1 less than 2

00:11 We want to borrow from the larger digits

00:15 Both tens and hundreds equal 0 so we'll borrow from thousands

00:19 What will change the thousands from 2 to 1

00:22 And now we'll have 10 instead of 0, in hundreds!

00:25 And we'll borrow from hundreds to tens

00:29 We'll have 10 in tens, and 9 in hundreds

00:32 And we'll continue with the same method, borrowing from tens to ones

00:35 We'll have 11 in ones, and 9 in tens

00:42 Subtract ones from ones, and place in ones

00:47 Subtract tens from tens, and place in tens

00:51 Subtract hundreds from hundreds, and place in hundreds

00:57 Subtract thousands from thousands, and place in thousands

01:01 Place 0 in the missing digits

01:04 Subtract ten thousands from ten thousands, and place

01:07 And that's the solution to the question

Step-by-Step Solution

To solve the problem of subtracting 1542 from 12001, we will perform vertical subtraction, borrowing where necessary:

Step 1: Align the numbers by place value:
$\begin{array}{c} ~~~12001 \\ - \phantom{0} 1542 \\ \hline \end{array}$
Step 2: Start subtracting from the rightmost digit (ones place):
The ones column requires borrowing since $1 < 2$ . Borrow from the tens.
The tens column is 0, so we need to borrow from the hundreds. The hundreds column is also 0, so we move to the thousands. The thousands column has 2, which becomes 1, and the hundreds column becomes 10, and then the tens column becomes 9. The ones column becomes 11.
Now subtract: Ones column: $11 - 2 = 9$
Step 3: Move to the tens place: Subtract $9 - 4 = 5$
Step 4: Move to the hundreds place: Subtract $9 - 5 = 4$ after borrowing.
Step 5: Move to the thousands place: Subtract $1 - 1 = 0$
Step 6: Finally, in the ten-thousands: Note that $1$ merely moves down as there’s no digit to deduct.

Putting it all together:

$\begin{array}{c} ~~~ 12001 \\ - \phantom{0}1542 \\ \hline ~~~10459 \\ \end{array}$

Therefore, the final solution to the problem is $10459$ .