Solve the Subtraction Problem: 72101 - 1400

Q: What happens to the number I borrowed from?

The digit you borrowed from gets reduced by 1. In this problem, the 2 in the thousands place becomes 1 after you borrow from it.

Q: How do I know where to start subtracting?

Always start from the rightmost column (ones place) and work your way left. This is because borrowing affects the columns to the left.

Q: What if there's a 0 in the place I need to borrow from?

You'll need to borrow from the next non-zero digit to the left. Each 0 becomes 9, and the non-zero digit decreases by 1.

Q: Why is alignment so important in subtraction?

Proper alignment ensures you're subtracting ones from ones, tens from tens, etc. Misaligned numbers lead to completely wrong answers!

Multi-Digit Subtraction with Borrowing

$\begin{aligned} &72101 \\ -& \\ &~~1400 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Each time consider a deficit of 2 digits, and then we'll place

00:06 Now subtract ones from ones, and place in ones

00:09 Subtract tens from tens, and place in tens

00:14 1 is less than 4

00:18 Borrow a thousand from thousands for the hundreds

00:21 That means now instead of 1 we'll have 11, in hundreds!

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

00:34 Subtract thousands from thousands, and place in thousands

00:37 Place 0 in the missing digits

00:39 Subtract ten thousands from ten thousands, and place

00:42 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &72101 \\ -& \\ &~~1400 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve the subtraction problem, follow these steps:

Step 1: Align the minuend $72101$ and the subtrahend $1400$ by their place values.
Step 2: Subtract each digit starting from the rightmost side (units place).

Let's perform the subtraction:

1. Units place: $1 - 0 = 1$ 2. Tens place: $0 - 0 = 0$ 3. Hundreds place: $1 - 4$ requires borrowing. Borrow 1 from the thousands place, changing the $2$ in thousands to $1$ , making it: - Hundreds place becomes $11 - 4 = 7$ . 4. Thousands place: After borrowing, the thousands place becomes $2 - 1 = 1$ . 5. Ten-thousands place: $7 - 0 = 7$ .

Thus, the subtraction is performed as follows:

$72101$
$- \phantom{0}1400$
__________
$70701$

Therefore, the result of the subtraction is $70701$ .

Final Answer

70701

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up numbers by place value before subtracting
Borrowing: When subtracting 4 from 1, borrow to make 11 - 4 = 7
Check: Add answer 70701 + 1400 = 72101 to verify ✓

Common Mistakes

Avoid these frequent errors

Forgetting to reduce the borrowed-from digit
Don't just borrow 1 to make 11 - 4 in hundreds place without changing the 2 to 1 in thousands place = wrong answer 71701! This ignores that you took 1 away from the thousands. Always reduce the digit you borrowed from by 1.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &15 \\ -& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

FAQ

Everything you need to know about this question

Why do I need to borrow when subtracting 4 from 1?

You can't subtract a larger number from a smaller one! When you need to subtract 4 from 1, you borrow 1 from the next place value (thousands), making it 11 - 4 = 7.

What happens to the number I borrowed from?

The digit you borrowed from gets reduced by 1. In this problem, the 2 in the thousands place becomes 1 after you borrow from it.

How do I know where to start subtracting?

Always start from the rightmost column (ones place) and work your way left. This is because borrowing affects the columns to the left.

What if there's a 0 in the place I need to borrow from?

You'll need to borrow from the next non-zero digit to the left. Each 0 becomes 9, and the non-zero digit decreases by 1.

How can I check if my subtraction is correct?

Add your answer to the subtrahend (smaller number). If you get the minuend (larger number), your answer is right! 70701 + 1400 = 72101 ✓

Why is alignment so important in subtraction?

Proper alignment ensures you're subtracting ones from ones, tens from tens, etc. Misaligned numbers lead to completely wrong answers!

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