Subtract 6 from 578: Vertical Format Arithmetic Problem

Q: Why do I need to align the numbers vertically?

Place value alignment is crucial! Each column represents a different place value (units, tens, hundreds). When you align correctly, you subtract like values from like values.

Q: What if the number I'm subtracting has fewer digits?

No problem! Just align the rightmost digits first. In this case, 6 goes under the 8 in 578. The empty spaces in other columns mean you're subtracting 0.

Q: Do I always start from the right column?

Yes! Always start from the units column (rightmost) and work left. This follows the same pattern as addition and ensures you handle any borrowing correctly.

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

Use addition to check! Add your answer to the number you subtracted: $572 + 6 = 578$. If you get the original number, you're right!

Q: What does the line under the problem mean?

The horizontal line separates the problem from the answer. It's like an equals sign - everything below the line is your result after completing the subtraction.

Subtraction with Vertical Alignment

$\begin{aligned} &578 \\ -& \\ &~~~~6 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 calculate subtraction of 2 digits, and then substitute

00:06 Let's start by subtracting ones from ones, and substitute in ones

00:09 Put 0 in the missing digits

00:12 Subtract tens from tens, and substitute in tens

00:15 Subtract hundreds from hundreds, and substitute in hundreds

00:18 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &578 \\ -& \\ &~~~~6 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

Let's solve this subtraction problem step-by-step:

Step 1: Align the numbers vertically by place value, ensuring units are aligned under units.
Step 2: Start subtraction from the rightmost column (units column). Here, subtract 6 from 8 in the units place: $8 - 6 = 2$ .
Step 3: Since we have dealt with the units place, move one step to the left to the tens place. Here, subtract 0 (since nothing is being subtracted from this place after borrowing) from 7 in the tens place: $7 - 0 = 7$ .
Step 4: Finally, move to the hundreds place. Subtract 0 from 5 (again, no borrowing affects this place): $5 - 0 = 5$ .

After completing the steps, the subtraction gives us the result.

Therefore, the solution to the problem is $572$ .

Final Answer

572

Key Points to Remember

Essential concepts to master this topic

Alignment Rule: Line up numbers by place value columns
Technique: Start from right column: $8 - 6 = 2$
Check: Add answer to subtrahend: $572 + 6 = 578$ ✓

Common Mistakes

Avoid these frequent errors

Misaligning place values when setting up the problem
Don't line up 6 under the 7 in 578 = wrong answer like 512! This puts 6 in the tens place instead of units place. Always align the rightmost digits (units) first, then work left.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &97 \\ -& \\ &63 \\ &\underline{\phantom{776}} & \\ \end{aligned}$ $$

FAQ

Everything you need to know about this question

Why do I need to align the numbers vertically?

Place value alignment is crucial! Each column represents a different place value (units, tens, hundreds). When you align correctly, you subtract like values from like values.

What if the number I'm subtracting has fewer digits?

No problem! Just align the rightmost digits first. In this case, 6 goes under the 8 in 578. The empty spaces in other columns mean you're subtracting 0.

Do I always start from the right column?

Yes! Always start from the units column (rightmost) and work left. This follows the same pattern as addition and ensures you handle any borrowing correctly.

How can I check if my subtraction is correct?

Use addition to check! Add your answer to the number you subtracted: $572 + 6 = 578$ . If you get the original number, you're right!

What does the line under the problem mean?

The horizontal line separates the problem from the answer. It's like an equals sign - everything below the line is your result after completing the subtraction.

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