Solve: Finding the Difference Between 514941 and 221871

Video Solution

Solution Steps

00:00 Solve

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

00:06 Borrow ones from ones, and place in ones

00:09 4 is less than 7

00:12 In this case, we borrow one hundred from the hundreds place, for the tens

00:15 Which will change the hundreds from 9 to 8

00:17 And now we'll have 14 instead of 4, in the tens!

00:20 Borrow tens from tens, and place in tens

00:26 Borrow hundreds from hundreds, and place in hundreds

00:33 Borrow thousands from thousands, and place in thousands

00:37 1 is less than 2

00:40 Therefore we borrow from the hundred thousands digit, for the ten thousands

00:45 Which will change the hundred thousands from 5 to 4

00:48 And now we'll have 11 instead of 1, in the ten thousands!

00:51 Borrow ten thousands from ten thousands, and place

00:55 Borrow hundred thousands from hundred thousands, and place

00:59 And this is the solution to the problem

Step-by-Step Solution

To solve this subtraction problem, follow these steps:

Step 1: Write down the numbers in vertically aligned format, placing the bigger number (514941) on top and the smaller number (221871) underneath it, ensuring digits are aligned according to their place value.
Step 2: Begin with the rightmost digits. Subtract the units place: $1 - 1 = 0$ .
Step 3: Move to the tens place. Subtract: $4 - 7$ . Since 4 is less than 7, we need to borrow 1 from the next left column (hundreds place). The 9 becomes 8, and the 4 becomes 14. Now, subtract: $14 - 7 = 7$ .
Step 4: Hundreds place. Subtract $8 - 8 = 0$ .
Step 5: Thousands place. Subtract $4 - 1 = 3$ .
Step 6: Ten-thousands place. Subtract $1 - 2$ . Borrow 1 from the hundred-thousands place, which makes 5 become 4. Now, $11 - 2 = 9$ .
Step 7: Hundred-thousands place. Subtract $4 - 2 = 2$ .

Upon performing these steps, the calculated difference of the two numbers is:

The answer is $\boldsymbol{293070}$ .

Therefore, the solution to the subtraction is $293070$ , which matches choice 4.