Solve the Subtraction Equation: 87,276 minus 10,103

Q: Why do we start subtracting from the right side?

We start from the ones place (rightmost) because if we need to borrow, it affects the digits to the left. Working right to left ensures we handle borrowing correctly.

Q: What does it mean when there's a 0 in the subtrahend?

A zero means subtract nothing from that place value. For example, in the tens place: $ 7 - 0 = 7 $. The digit stays the same!

Q: How can I check if my subtraction is correct?

Add your answer to the number you subtracted. If you get the original first number, you're right! $ 77,173 + 10,103 = 87,276 $ ✓

Multi-Digit Subtraction with Place Value Alignment

Solve the following equation:

$87,276-10,103=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following equation:

$87,276-10,103=$

Step-by-step solution

To solve the equation $87,276 - 10,103$ , we will perform a simple subtraction. Let's break it down step-by-step.

Step 1: Write the numbers in a vertical column, aligning the digits according to their place value:

$87,276$
$-10,103$

Step 2: Start subtracting from the right-most digit, which is the units digit:

- Units: $6 - 3 = 3$

Step 3: Move to the tens place:

- Tens: $7 - 0 = 7$

Step 4: Subtract the hundreds place:

- Hundreds: $2 - 1 = 1$

Step 5: Subtract the thousands place:

- Thousands: $7 - 0 = 7$

Step 6: Finally, subtract the ten thousands place:

- Ten thousands: $8 - 1 = 7$

Therefore, the solution to the subtraction is:

$77,173$

Given the answer choices, the correct choice is option 4: $77,173$ .

The solution to the equation $87,276 - 10,103$ is $77,173$ .

Final Answer

$77,173$

Key Points to Remember

Essential concepts to master this topic

Alignment: Write numbers vertically matching place value positions
Technique: Subtract column by column starting from rightmost digit: 6-3=3
Check: Add your answer to subtrahend: 77,173 + 10,103 = 87,276 ✓

Common Mistakes

Avoid these frequent errors

Misaligning digits by place value
Don't line up numbers by total length instead of place values = wrong digit subtraction! This causes you to subtract wrong digits from each other, giving completely incorrect results. Always align ones with ones, tens with tens, hundreds with hundreds.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct answer:

$693+705=\text{ ?}$

FAQ

Everything you need to know about this question

What if I need to borrow when subtracting?

In this problem, no borrowing is needed since each digit in the minuend is larger than or equal to the corresponding digit in the subtrahend. When borrowing is needed, take 1 from the next place value to the left.

Why do we start subtracting from the right side?

We start from the ones place (rightmost) because if we need to borrow, it affects the digits to the left. Working right to left ensures we handle borrowing correctly.

What does it mean when there's a 0 in the subtrahend?

A zero means subtract nothing from that place value. For example, in the tens place: $7 - 0 = 7$ . The digit stays the same!

How can I check if my subtraction is correct?

Add your answer to the number you subtracted. If you get the original first number, you're right! $77,173 + 10,103 = 87,276$ ✓

What if the first number is smaller than the second?

You can't subtract a larger number from a smaller one and get a positive result. Double-check that you've written the numbers in the correct order: larger number minus smaller number.

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