We have hundreds of course questions with personalized recommendations + Account 100% premium
To solve this problem, we'll follow these steps:
Step 1: Align the numbers, writing the minuend (1568) above the subtrahend (654) with digits lined up according to their place value.
Step 2: Start subtracting from the rightmost digits (units place):
1. Subtract the units column:
- 8 is greater than 4; we can subtract 4 from 8 directly to get 4.
2. Subtract the tens column:
- 6 from 5: We cannot subtract 6 from 5 directly, so we need to borrow. Borrow 1 from the hundreds column, making it 4 and the tens column 15.
- Subtract: 15 - 6 = 9.
3. Subtract the hundreds column:
- The new value after borrowing is 4 (since we borrowed 1 for the tens column). Now, subtract 6 from 4. Again, we cannot directly subtract 6 from 4, so borrow 1 from the thousands place. This makes the hundreds column 14.
- Subtract: 14 - 6 = 8.
4. Subtract the thousands column:
- After borrowing, the thousands column is reduced to 0 from 1, so we write this as it remains unaltered.
Step 3: Write the results in each column:
The final difference is determined by the numbers calculated: .
Therefore, the solution to the problem is .
914
\( \begin{aligned} &105 \\ -& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
Borrowing means taking 10 from the next higher place value when the top digit is too small. For example, if you can't subtract 6 from 5, you borrow 1 from the hundreds place, making it 15 - 6 = 9.
You need to borrow whenever the top digit is smaller than the bottom digit in any column. Look at each column from right to left and identify where borrowing is needed before you start.
You might need to borrow from multiple columns! Start from the left and work your way back. For example, if you need to borrow from a 0, first borrow from the column to its left.
Yes! Add your answer to the number you subtracted. If you get the original number back, you're correct. For this problem: ✓
We work right to left because borrowing affects the next column. Starting with units, then tens, then hundreds ensures you handle all the borrowing correctly before moving on.
Get unlimited access to all 18 Arithmetic Operations questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime