Subtract 346 from 1000: Vertical Format Solution

Video Solution

Solution Steps

00:00 Solve

00:03 Each time we consider borrowing 2 digits, and then we place

00:06 0 is less than 6

00:09 The tens digit is also equal to 0 so we cannot borrow from it

00:12 The hundreds digit is also equal to 0 so we cannot borrow from it

00:15 We'll borrow a thousand from the thousands place for the hundreds

00:18 So now instead of 0 we'll have 10, in hundreds!

00:22 And now we'll borrow ten from the hundreds for the tens

00:25 Which will turn the hundreds from 10 to 9

00:28 So now instead of 0 we'll have 10, in tens!

00:31 And now we'll borrow ten from the tens for the ones

00:34 Which will turn the tens from 10 to 9

00:37 So now instead of 0 we'll have 10, in ones!

00:43 Now we subtract ones from ones, and place in ones

00:46 Subtract tens from tens, and place in tens

00:52 Subtract hundreds from hundreds, and place in hundreds

00:58 Place 0 in the missing digits

01:01 Subtract thousands from thousands, and place in thousands

01:04 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll follow these steps:

Step 1: Write the numbers vertically aligning by their respective place values:
$\begin{array}{c} 1000 \\ - \phantom{0}346~~~ \\ \hline \\ \end{array}$
Step 2: Start subtracting from the units column: - Units column: $0 - 6$ , since $0 < 6$ , we need to borrow. Notice that all digits to the left are zeros, so multiple steps of borrowing are required.
Step 3: Borrowing Process: - First, borrow from the hundreds place: Borrow 1, making the hundreds column $9$ (since $10 - 1 = 9$ ), leaving the ten column as $9$ (from borrowing). - Borrow again to the tens column, reducing hundreds column further, ultimately making tens column $9$ and units column $10$ .
Step 4: Perform the subtractions: - Units Column: $10 - 6 = 4$ - Tens Column: $9 - 4 = 5$ - Hundreds Column: $9 - 3 = 6$ - Thousands Column: Remains $0$ .

Therefore, putting it all together, we get: $\begin{array}{c} 1000 \\ - \phantom{0}346 ~~~ \\ \hline \phantom{0}654 \\ \end{array}$

Thus, the solution to the problem is $654$ .