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To solve this subtraction problem, we will follow these steps:
Step 1: Line up the numbers vertically to align the digits by place value.
Step 2: Start from the units column, note requires borrowing from the tens place.
Since 4 is smaller than 6, we borrow 1 from the next higher place value. The tens digit (7) becomes 6, and the units digit becomes .
Step 3: Subtract in the units column: .
Step 4: Move to the tens column, subtract . Since we borrowed from the hundreds place, it simplifies to .
Step 5: The hundreds digit in the minuend is , reduced by 1 due to previous borrowing, makes the effective hundreds .
Step 6: Finally, in the hundreds column, subtract .
Let's summarize the steps calculations as follows:
Upon completion, the final result is .
188
\( \begin{aligned} &105 \\ -& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
You can't subtract a larger number from a smaller number and get a positive result! When 4 < 6, you must borrow 10 from the tens place to make it 14 - 6 = 8.
The tens digit decreases by 1 after borrowing. In this problem, 7 becomes 6 after lending 10 to the ones place. Don't forget this step!
You borrow from hundreds when the tens subtraction becomes impossible. Here, after borrowing, we have 6 - 8, so we borrow from hundreds: .
Yes! Add your answer to the number you subtracted: . If you get the original number (274), your answer is correct!
When borrowing from 0, you must first borrow from the next higher place value. For example, if you have 300 - 86, you'd turn it into 2-9-10 before proceeding.
While borrowing is the standard method for vertical subtraction, you could also break apart numbers: .
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