Subtract 196 from 285: Vertical Format Arithmetic Problem

Q: Why do I need to borrow when the top number is bigger overall?

Even though 285 is larger than 196, we work column by column. When a single digit on top is smaller than the one below it, we must borrow to make subtraction possible in that column.

Q: What happens to the digit I borrow from?

When you borrow 1 from a digit, it becomes 1 less. For example, when we borrowed from the 8 in 285, it became 7. Always remember to reduce the lending digit!

Q: Can I subtract the smaller number from the larger number instead?

No! The order matters in subtraction. $285 - 196$ gives 89, but $196 - 285$ would give a negative result. Always subtract in the order given.

Q: How do I know if I need to borrow?

Look at each column from right to left. If the top digit is smaller than the bottom digit, you need to borrow. For example: 5

Q: What if I have to borrow from zero?

When borrowing from 0, you need to keep borrowing leftward until you find a non-zero digit. The 0 becomes 10, then you borrow 1 from it, leaving 9.

Q: Is there a way to check my subtraction answer?

Yes! Add your answer to the second number. If you get the first number, you're correct: $89 + 196 = 285$ ✓

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

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

00:06 5 is less than 6

00:13 Therefore, we subtract 1 from the tens and add this amount to the ones

00:17 So now instead of 5 we'll have 15

00:22 We subtract the ones from the ones plus ten

00:27 We place in the ones

00:33 7 is less than 9

00:38 Therefore, we subtract 1 from the hundreds and add this amount to the tens

00:42 So now instead of 7 we'll have 17

00:47 We subtract the tens from the tens plus ten

00:51 We place in the tens

00:56 We subtract hundreds from hundreds, and place in hundreds

01:00 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

$\begin{aligned} &285 \\ -& \\ &196 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

2

Step-by-step solution

To solve the problem of subtracting 196 from 285 using vertical subtraction, follow these steps:

Step 1: Write the numbers vertically, aligning them by place value:
$\begin{array}{c} \phantom{0}285 \\ -196 \\ \underline{\phantom{076}} \\ \end{array}$
Step 2: Start with the units column (rightmost digits). Subtract 6 from 5. Since 5 is smaller than 6, we need to carry from the tens column:
- Take 1 from 8 (in the tens column) to make it 7. - Add 10 to the 5 in the units column, making it 15. - Now, $15 - 6 = 9$ .
Step 3: Move to the tens column. Subtract 9 from 7. Since 7 is smaller than 9, we need to carry from the hundreds column:
- Take 1 from 2 (in the hundreds column) to make it 1. - Add 10 to the 7 in the tens column, making it 17. - Now, $17 - 9 = 8$ .
Step 4: Finish with the hundreds column. Subtract 1 from 1 (after carrying):
- $1 - 1 = 0$ .
Step 5: Combine the results to get the final answer:
- The result of the subtraction is 089, or simply 89.

Therefore, the result of subtracting 196 from 285 is $89$ .

3

Final Answer

89

Key Points to Remember

Essential concepts to master this topic

Rule: Always align numbers by place value in vertical format
Technique: When top digit is smaller, borrow 10 from left column: 5 becomes 15
Check: Add your answer to the number being subtracted: 89 + 196 = 285 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to adjust the borrowed-from digit
Don't subtract 6 from 5 by borrowing from 8 but leaving 8 unchanged = wrong calculation! The 8 must become 7 after lending 1. Always reduce the borrowed-from digit by 1 after regrouping.

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 the top number is bigger overall?

+

Even though 285 is larger than 196, we work column by column. When a single digit on top is smaller than the one below it, we must borrow to make subtraction possible in that column.

What happens to the digit I borrow from?

+

When you borrow 1 from a digit, it becomes 1 less. For example, when we borrowed from the 8 in 285, it became 7. Always remember to reduce the lending digit!

Can I subtract the smaller number from the larger number instead?

+

No! The order matters in subtraction. $285 - 196$ gives 89, but $196 - 285$ would give a negative result. Always subtract in the order given.

How do I know if I need to borrow?

+

Look at each column from right to left. If the top digit is smaller than the bottom digit, you need to borrow. For example: 5 < 6, so we must borrow to make it 15 - 6.

What if I have to borrow from zero?

+

When borrowing from 0, you need to keep borrowing leftward until you find a non-zero digit. The 0 becomes 10, then you borrow 1 from it, leaving 9.

Is there a way to check my subtraction answer?

+

Yes! Add your answer to the second number. If you get the first number, you're correct: $89 + 196 = 285$ ✓

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Subtract 196 from 285: Vertical Format Arithmetic Problem

Subtraction with Regrouping (Borrowing) Across Columns

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