Solve Vertical Subtraction: 10154 minus 8154

Video Solution

Solution Steps

00:00 Solve

00:03 Each time we consider a deficit of 2 digits, and then we place

00:06 Now we subtract ones from ones, and place in ones

00:09 Subtract tens from tens, and place in tens

00:12 Subtract hundreds from hundreds, and place in hundreds

00:18 0 is less than 8

00:23 We borrow hundred thousand from hundreds thousands for the thousands

00:29 In other words, now instead of 0 we'll have 10, in thousands!

00:35 Subtract thousands from thousands, and place in thousands

00:39 Place 0 in the missing digits

00:42 Subtract tens of thousands from tens of thousands, and place

00:45 And this is the solution to the problem

Step-by-Step Solution

To solve the subtraction problem $10,154 - 8,154$ , follow these steps:

Write down the numbers with their digits aligned according to place value:
$\begin{array}{c} ~~10154 \\ \underline{-~8154} \\ \end{array}$
Subtract each pair of digits starting from the right (units place):
1. Units place: $4 - 4 = 0$
2. Tens place: $5 - 5 = 0$
3. Hundreds place: $1 - 1 = 0$
4. Thousands place: $0 - 8$ – since $0$ is less than $8$ , we need to borrow.
Borrows and adjusts:
1. Borrow from the ten-thousands place. Convert $10,000$ to $9,000$ , and increase thousands by $10$ : $10 - 1 = 9$ (because of borrowed 1 from ten-thousands).
Perform the borrowing adjustment and subtraction:
1. Thousands place after borrowing: $10 - 8 = 2$
2. Ten-thousands place (after borrowing): $1 - 1 = 0$

After performing these operations, the final result is:

$2,000$

Therefore, the difference when $8,154$ is subtracted from $10,154$ is: $2,000$