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\( \begin{aligned} &700 \\ -& \\ &145 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
\( \begin{aligned} &602 \\ -& \\ &247 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
\( \begin{aligned} &505 \\ -& \\ &367 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
\( \begin{aligned} &404 \\ -& \\ &106 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
\( \begin{aligned} &300 \\ -& \\ &152 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
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 and :
Step 1: Align the numbers:
-
- - - - - -
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:
Units column: 10 - 5 = 5
Tens column: 9 - 4 = 5
Hundreds column: 6 - 1 = 5
Therefore:
The correct answer to the problem is .
555
To solve this subtraction problem, we need to subtract from . We'll approach it step-by-step:
Begin with the rightmost digits: Subtract from . Since is smaller than , we must borrow.
Borrow from the tens place: Reduce the next digit left (0 in the tens place) by 1. However, since it's , continue borrowing from the hundreds place.
The hundreds place reduces to , making the tens . Borrow from these , making the tens and increasing the units place to 12.
Now, subtract: .
For the tens place, subtract from (after adjustment): .
Finally, the hundreds place: Subtract from , giving .
The subtraction gives us the number .
355
To solve this problem of subtracting from , we'll follow these steps:
Putting it all together, we have:
Therefore, the solution to the problem is , which corresponds to choice 2.
138
Let's solve the subtraction problem step-by-step:
The ones column: requires borrowing.
Now, subtract the tens column: .
Finally, for the hundreds column: .
So, putting it all together, the result of subtracting from is .
Therefore, the solution to the subtraction problem is .
298
To solve the subtraction problem , we'll follow these steps:
Therefore, the solution to the problem is .
148
\( \)\( \begin{aligned} &100 \\ -& \\ &~~18 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
\( \begin{aligned} &308 \\ -& \\ &~~89 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
\( \begin{aligned} &406 \\ -& \\ &~~78 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
\( \begin{aligned} &507 \\ -& \\ &~~69 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
\( \)\( \begin{aligned} &1000 \\ -& \\ &~~257 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
To solve the problem , we'll perform the subtraction using borrowing:
Therefore, the solution to the subtraction problem is .
82
To solve this subtraction problem, we must perform vertical subtraction of 89 from 308 using the borrowing technique:
Therefore, the difference between 308 and 89 is .
The correct choice from the provided answer choices is choice 1: 219.
219
To solve this subtraction problem , we use the vertical subtraction method, aligning the numbers by their place values:
Step-by-step process:
Align the numbers columnwise:
406
- 78
- - - - -
Subtract each column, starting from the right:
- Units place: cannot be done directly, so we need to borrow.
- Look to the tens column (0), but it is not possible to borrow directly from zero. Instead, we move to the hundreds column.
- From the hundreds, the 4 becomes a 3 (after borrowing), and the tens place (0) becomes 10. Borrow from 10 in tens, so it becomes 9 while units becomes 16.
Perform the subtraction with borrowing adjusted:
- Units place:
- Tens place:
- Hundreds place:
The result of subtracting 78 from 406 is .
The correct answer, matching our calculation, is option 3: 328.
328
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Write the numbers vertically, aligning by place values:
Step 2: Start subtracting from the units (right-most) digit:
Units column: 7 (from 507) minus 9 (from 69). Since 7 is smaller than 9, borrow 1 from the tens column.
Step 3: Borrowing across zeros:
Borrowing from the tens column requires rolling up to the hundreds column because there is a 0 in the tens place. Change 5 in the hundreds place to 4, making the tens place 10. Now the tens column has 9 after lending 1 to the units column, making it 17.
Subtract 9 from 17 in the units place to get 8.
Step 4: Subtract the tens column:
9 (from borrowing adjustment) minus 6 (from 69) is 3.
Step 5: Subtract the hundreds column:
4 (from borrowing adjustment) minus 0 (from 69) is 4.
Therefore, the subtraction result is:
Thus, the solution to the problem is .
438
To solve this subtraction problem of 1000 minus 257, we will use a systematic vertical subtraction method that involves borrowing:
Step 1: Start with the numbers aligned vertically:
Step 2: Subtract the rightmost digits (in the units place):
Since 0 is less than 7, we need to borrow. The next column (tens place) also is 0, so we move to the hundreds place to borrow. Reducing the 1 to 0, we turn the 0 into a 10 in the tens column and then subtract 1 to borrow into the units column, turning it into 9. The soon-to-be 10 in the units column becomes 10.
Step 3: The positions now look like:
Step 4: Now, 10 minus 7 is 3. Write 3 down.
Step 5: Move to the tens column: 9 minus 5 equals 4. Write 4 under the line.
Step 6: Lastly, subtract the hundreds column: 0 minus 2 requires borrowing again, leaving that position as 7.
The final calculated result is:
Therefore, the solution to the subtraction problem is .
743
\( \begin{aligned} &1000 \\ -& \\ &~~346 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
\( \)\( \begin{aligned} &1000 \\ -& \\ &~~872 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
\( \begin{aligned} &1000 \\ -& \\ &~~951 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
\( \)\( \begin{aligned} &2007 \\ -& \\ &~~469 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
\( \begin{aligned} &3008 \\ -& \\ &~~659 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
To solve this problem, we'll follow these steps:
Step 1: Write the numbers vertically aligning by their respective place values:
Step 2: Start subtracting from the units column: - Units column: , since 0 < 6, we need to borrow. Notice that all digits to the left are zeros, so multiple steps of borrowing are required.
Step 3: Borrowing Process: - First, borrow from the hundreds place: Borrow 1, making the hundreds column (since ), leaving the ten column as (from borrowing). - Borrow again to the tens column, reducing hundreds column further, ultimately making tens column and units column .
Step 4: Perform the subtractions: - Units Column: - Tens Column: - Hundreds Column: - Thousands Column: Remains .
Therefore, putting it all together, we get:
Thus, the solution to the problem is .
654
To solve this problem, we will use vertical subtraction with borrowing:
Step 1: Understand the given numbers
We need to perform the subtraction . Let's write them vertically:
1000
-872
_____
Step 2: Begin with the units digit
The units digit for the minuend is 0, and the subtrahend is 2. Because you cannot subtract from , we need to borrow from the next digit over.
The tens digit is also , so we need to borrow from the hundreds digit, .
Continue borrowing to the thousands place:
The thousands digit will become , the hundreds digit becomes , then (after lending to adjust tens place), tens digit becomes , then (after lending to adjust units place), and finally, units digit becomes .
Result during subtraction step:
The number adjusted pre-subtraction is .
Step 3: Perform the subtraction
Now perform each column subtraction:
Units:
Tens:
Hundreds:
There is no digit left to subtract in the thousands place, following the adjustment.
Conclusion
Bringing the results together from the adjustments and borrowing:
The result of the subtraction is .
Therefore, the solution to the problem is .
128
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: We write and in vertical alignment for subtraction.
Step 2: Begin from the units column: We need to subtract from , so borrowing is required.
Step 3: As there are zeros in both the units and the tens place, we must borrow from the hundreds place and subsequently from the thousands place.
Step 4: Change as follows for borrowing: The thousands digit gives 1 to the hundreds, transforming so it looks like at hundreds, zero at the thousands, from which the hundreds gives 1 to the tens, and similarly tens gives 1 to the units.
The number effectively becomes temporarily while processing subtraction:
- Now units column: .
- In the tens column: .
- In the hundreds column: .
- Thousands column: .
Therefore, the solution to the subtraction problem of is .
49
To solve this problem, we'll follow these steps:
Step 1: Write the numbers vertically.
Step 2: Start subtraction from the rightmost digit.
Step 3: Borrow where necessary.
Now, let's work through each step:
Step 1: Set up the subtraction vertically:
- 469
Step 2: Subtract starting from the rightmost digit:
In the one's place, we have . Since is smaller than , we need to borrow. However, has no value to lend, so we need to also borrow from the hundreds place.
In the tens place, becomes (after borrowing from the hundreds), but now we have to borrow for the ones place operation, leaving us with in the tens place. Thus, the ones place calculation becomes .
In the tens place, we subtract from the adjusted (due to earlier borrowing). Thus, .
In the hundreds place, initially , now we have (after borrowing from the thousands, so it effectively becomes ). Thus, .
Finally, the thousands place remains as we have already borrowed away, and we have no number to subtract from it. So, it remains .
The complete subtraction sequence gives us:
2007
- 469
Therefore, the solution to the problem is .
1538
To solve this problem, we will subtract 659 from 3008 using borrowing in the subtraction process:
Line up the numbers with the larger number on top:
Begin subtraction from the rightmost column (units place), where we have . Since is smaller than , we need to borrow.
Move to the tens place, which is also . Since we cannot borrow from a , move left to the hundreds place.
The hundreds place is also , so continue to the thousands column, where we have :
Decrease the to and make the hundreds column . Now borrow from the hundreds column, turning it into and the tens column into .
Finally, borrow from the tens column to assist the units column: We can now do .
Proceed to the tens column. .
The hundreds column: .
The thousands column: .
Writing down the final subtraction gives us:
Therefore, the solution to the problem is 2349.
2349
\( \begin{aligned} &4003 \\ -& \\ &~~855 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
\( \begin{aligned} &5004 \\ -& \\ &~~937 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
\( \begin{aligned} &6002 \\ -& \\ &~~373 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
\( \begin{aligned} &204 \\ -& \\ &~~75 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)\( \)
\( \begin{aligned} &1000 \\ -& \\ &~~732 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)
To solve the subtraction problem , we will perform the operation step-by-step, ensuring we manage the borrowing process correctly:
The result of is .
The correct choice that matches this result is option 3: .
3148
We need to subtract 937 from 5004 using vertical subtraction. Let’s break this down step-by-step, especially focusing on borrowing across zeros:
Step 1: Set up the numbers for subtraction.
Write 5004 above 937, aligning them to the right so the units, tens, hundreds, and thousands digits line up:
Step 2: Start subtracting from the rightmost digits.
Begin with the units column:
Our subtraction may look as follows:
Step 3: Move to the tens column.
Subtract 3 from 9. Result is 6.
Step 4: Move to the hundreds column.
Subtract 9 from 9. Result is 0.
Step 5: Move to the thousands column.
Here we have 4, and there’s no number to subtract, so we carry down 4.
Therefore, the solution to the subtraction problem is .
4067
Let's solve using the vertical subtraction method:
Step 1: Write the numbers in column form, ensuring they are aligned by place value:
Step 2: Subtract each digit starting from the right (units place). First, inspect the units place:
We need to subtract 3 from 2. Since 3 > 2, we must borrow.
Borrow 1 from 600 (next higher order, thousands in this case):
The result: Change 6002 to 5992.
Now, subtract , in the units place.
Step 3: Move to the tens place:
Subtract .
Step 4: Move to the hundreds place:
Subtract .
Step 5: Move to the thousands place:
We have 5 remaining and no subtraction needed here.
Therefore, the result is .
Therefore, the solution to is .
5629
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