Calculate the Difference: 94 Minus 6 Subtraction Problem

Two-Digit Subtraction with Regrouping

94  6776 \begin{aligned} &94 \\ -& \\ &~~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 consider subtracting 2 digits, and then we'll place
00:06 4 is less than 6
00:09 Therefore we'll subtract 1 from the tens and add this amount to the ones
00:15 In other words, now instead of 4 we'll have 14
00:18 We'll subtract the ones from the ones plus the ten
00:21 We'll place in the ones
00:24 We'll place 0 in the missing digits
00:27 Subtract tens from tens, and place in the tens
00:31 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

94  6776 \begin{aligned} &94 \\ -& \\ &~~6 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this subtraction problem, we will use the vertical subtraction method. Here’s how to approach it step-by-step:

  • Step 1: Arrange the numbers in a column, aligning them by place value. The top number (the minuend) is 94, and the bottom number (the subtrahend) is 6.

  • Step 2: Begin subtracting from the rightmost column (the ones place). Here we have:

    4~~~~4

  6-~~6

  • Since 4 is less than 6, we need to regroup. We'll borrow 1 ten from the tens place:

    14~~~~14 (after borrowing)

  6-~~6

  • Step 3: Subtract the ones now: 14 - 6 = 8, write 8 under the ones column.

  • Step 4: Move to the tens column where we initially had 9 tens, but now it’s reduced by 1 tens due to regrouping, making it 8 tens. Thus:

    8~~~~8

  0-~~0

  • There’s nothing to subtract from 8 in the tens place, so it remains 8. Write 8 under the tens column.

  • Therefore, after performing the subtraction, the final result is 88.

Hence, the solution to the subtraction problem is 88 88 .

3

Final Answer

88

Key Points to Remember

Essential concepts to master this topic
  • Regrouping Rule: Borrow 1 ten when ones digit is smaller
  • Technique: Transform 4 to 14 by borrowing, then 14 - 6 = 8
  • Check: Add your answer to subtrahend: 88 + 6 = 94 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting smaller from larger regardless of position
    Don't subtract 4 - 6 = 2 just because 6 is bigger = wrong answer of 92! This ignores place value rules. Always regroup first when the top digit is smaller than the bottom digit.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &105 \\ -& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

Why can't I just subtract 4 - 6 and get 2?

+

Because you can't take away 6 ones when you only have 4 ones! You need to borrow from the tens place first, turning your 4 ones into 14 ones.

What happens to the tens place when I borrow?

+

The tens place decreases by 1. So 94 becomes 8 tens and 14 ones instead of 9 tens and 4 ones. Now you can subtract!

How do I know when I need to regroup?

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Simple rule: If the top digit is smaller than the bottom digit in any column, you need to borrow from the column to the left.

Can I check my subtraction answer?

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Yes! Add your answer to the number you subtracted: 88+6=94 88 + 6 = 94 . If you get the original number, you're correct!

What if there's a zero in the tens place?

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You'd need to borrow from the hundreds place first, turning the 0 into 10, then borrow 1 from that to make 14 ones. It's like a chain reaction!

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