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

Question

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

Video Solution

Solution Steps

00:00 Solve
00:03 0 is less than 5
00:06 Each time we subtract 2 digits, and then we'll place
00:09 The tens digit is also equal to 0 so we can't borrow from it
00:11 We'll borrow a hundred from the hundreds for the tens
00:17 So now instead of 0 we'll have 10, in the tens place!
00:21 And now we'll borrow ten from the tens for the ones
00:28 Which will change the tens from 10 to 9
00:34 So now instead of 0 we'll have 10, in the ones place!
00:41 Now we subtract ones from ones, and place in ones
00:44 Subtract tens from tens, and place in tens
00:50 Subtract hundreds from hundreds, and place in hundreds
00:55 And that's the solution to the problem

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:
amp;060amp;9amp;10amp;1amp;4amp;5 \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 .

Answer

555