Subtract 1506 from 6315: Vertical Format Solution

Question

amp;6315amp;amp;1506amp;776amp; \begin{aligned} &6315 \\ -& \\ &1506 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Video Solution

Solution Steps

00:00 Solve
00:03 Each time we consider borrowing 2 digits, and then we'll place
00:07 5 is less than 6
00:12 Therefore we subtract 1 from the tens, and add this amount to the ones
00:16 That means now instead of 5 we'll have 15
00:21 We subtract the ones from the ones plus ten
00:24 We place in ones
00:28 We subtract tens from tens, and place in tens
00:31 3 is less than 5
00:37 Therefore we subtract 1 from the thousands, and add this amount to the hundreds
00:41 That means now instead of 3 we'll have 13
00:44 We subtract the hundreds from the hundreds plus hundred
00:50 We place in hundreds
00:53 We subtract thousands from thousands, and place in thousands
00:57 And this is the solution to the problem

Step-by-Step Solution

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

  • Step 1: Align the numbers by place value.
  • Step 2: Subtract each corresponding digit from right to left.
  • Step 3: Borrow from the left if the top digit is smaller than the bottom digit.

Now, let's work through each step:

Step 1: Align 6315 and 1506 vertically by place values:
63151506\begin{aligned} &6315 \\ -&1506 \\ \hline & \end{aligned}

Step 2: Start subtracting from the units place:

Units place: 565 - 6. Since 5 is smaller than 6, we need to borrow 1 from the tens place.
1 becomes 0 (in the tens place), and 5 becomes 15:
156=915 - 6 = 9.

Tens place: Now it’s 000 - 0. That gives us 00.

Hundreds place: 353 - 5 in the hundreds place. Since 3 is smaller than 5, we borrow 1 from the thousands place.
3 becomes 13 and 6 becomes 5:
135=813 - 5 = 8.

Thousands place: 51=45 - 1 = 4.

Therefore, the result of subtraction is 48094809.

According to the provided answer choices, the correct choice is choice 3, which is the number 48094809.

The solution to the problem is 48094809.

Answer

4809