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To solve this vertical subtraction problem, follow these steps:
Step 1: Set up the problem vertically.
Write 72 and 8 ensuring that the digits are aligned according to their place values:
72
- 8
Step 2: Start subtracting from the rightmost digit (ones place).
In the ones place, we have 2 (from 72) and 8 (from -8). Since 2 is less than 8, we need to regroup.
Step 3: Perform regrouping.
Take 1 ten from the tens place of 72, leaving 6 tens. Adding 10 ones to 2 makes it 12 in the ones place.
Rewritten, the problem now looks like this:
6 12
- 8
Step 4: Continue with subtraction in the ones place.
Subtract 8 from 12, which equals 4.
Step 5: Subtract in the tens place.
Now, move to the tens place. We have 6 tens (from the regrouped value) and since there is no tens digit to subtract, it remains 6.
Conclusion: Combine the results from each place value to find the final difference: tens and ones make .
Therefore, the solution to the problem is .
64
\( \begin{aligned} &105 \\ -& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
Because 2 is smaller than 8, so you can't subtract without regrouping! You need to borrow from the tens place first, making it 12 - 8 = 4.
Regrouping means trading 1 ten for 10 ones. So 72 becomes 6 tens and 12 ones instead of 7 tens and 2 ones.
You need to regroup whenever the top digit is smaller than the bottom digit in any place value. Look at each column from right to left!
That's a common mistake! When you borrow 1 ten, you must reduce the tens digit by 1. So 7 tens becomes 6 tens in this problem.
Yes! Use addition to check subtraction. Add your answer to what you subtracted: . If you get the original number, you're correct!
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