Solve Vertical Subtraction: 700 minus 145 Step-by-Step

Vertical Subtraction with Borrowing from Zeros

700145776 \begin{aligned} &700 \\ -& \\ &145 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this math problem!
00:07 We see that zero is less than five.
00:10 So, we need to subtract by borrowing.
00:14 The tens digit is also zero, so we can't borrow from it.
00:18 Let's borrow one hundred from the hundreds place for the tens.
00:23 Now, instead of zero, we have ten in the tens place.
00:27 Next, we borrow ten from the tens place for the ones.
00:32 This changes the tens from ten to nine.
00:38 So now, instead of zero, we have ten in the ones place.
00:45 Let's subtract ones from ones and write it in the ones place.
00:49 Next, subtract tens from tens and place it in the tens spot.
00:54 Finally, subtract hundreds from hundreds and write it in the hundreds spot.
00:59 Great job! That's how we solve the problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

700145776 \begin{aligned} &700 \\ -& \\ &145 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this vertical subtraction problem, we'll follow these steps:

  • Step 1: Align the numbers vertically, ensuring that each column corresponds to the correct place value.

  • Step 2: Begin subtracting from the rightmost digit (units column) and move left, borrowing where necessary.

  • Step 3: If a zero is present in a column and borrowing is needed, borrow from the next higher place value column.

Let's apply these steps using the numbers 700 700 and 145 145 :

Step 1: Align the numbers:
0700\phantom{0}700
-0145\phantom{0}145
- - - - - -

Step 2: Begin with the units column (rightmost):
0 - 5.
We cannot subtract 5 from 0, so we need to borrow from the tens column.
But, the tens column is also 0, so we need to borrow from the hundreds column.

Step 3: Borrow 1 from the hundreds place (making it 6) and convert it to 10 tens in the tens column (makes the tens column 10).
Now borrow 1 ten (making the tens column 9) to turn the units column into 10.

Now solve:
060910145 \begin{array}{c} &\phantom{0}6\phantom{0}&9&10 \\ - & 1 & 4 & 5 \\ \end{array}
Units column: 10 - 5 = 5
Tens column: 9 - 4 = 5
Hundreds column: 6 - 1 = 5

Therefore:

07000145     555 \begin{array}{c} \phantom{0}700 \\ -\phantom{0}145~~~ \\ ~~\overline{555} \\ \end{array}

The correct answer to the problem is 555 555 .

3

Final Answer

555

Key Points to Remember

Essential concepts to master this topic
  • Borrowing Rule: When subtracting from zero, borrow from next higher place value
  • Multiple Borrowing: 700 becomes 6-9-10 after borrowing: 10-5=5, 9-4=5, 6-1=5
  • Check: Add your answer to the subtracted number: 555 + 145 = 700 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to borrow through multiple zeros
    Don't just try to subtract 5 from 0 in the units place = impossible! This leads to confusion and wrong answers. Always borrow systematically: first from hundreds (7→6), then distribute to tens (0→10→9) and units (0→10).

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 can't I just subtract 5 from 0?

+

You cannot subtract a larger number from a smaller one in basic arithmetic! That's why we borrow from the next column to make the 0 become 10, so we can subtract 5 from 10.

What do I do when there are multiple zeros like in 700?

+

Work from left to right when borrowing! First, borrow 1 from the 7 (making it 6). This gives the tens place 10, then borrow 1 from there (making it 9) to give the units place 10.

How do I remember which numbers change when borrowing?

+

Think of it like breaking a dollar into smaller change: 1 hundred becomes 10 tens, then 1 ten becomes 10 ones. Write the new numbers above each column to keep track!

Is there a way to check my subtraction answer?

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Yes! Add your answer to the number you subtracted: 555+145=700 555 + 145 = 700 . If you get the original number, your subtraction is correct!

What if I mess up the borrowing process?

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Don't worry! Start over and work slowly. Write each step clearly: show what each column becomes after borrowing. Practice makes perfect with borrowing problems.

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