Clear visual guide showing how to subtract 58,321 from 62,474 using the column method and borrowing.
Vertical subtraction of 62,474 minus 58,321 showing regrouping steps to equal 4,153.
PNG
643×500
132.4 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #341010
⭐
Show Answer Key & Explanations
Step-by-step solution for: Subtract Two Large Numbers Using Column Method and Exchanging ...
▼
Show Answer Key & Explanations
Step-by-step solution for: Subtract Two Large Numbers Using Column Method and Exchanging ...
Let's carefully analyze the subtraction problem shown in the image:
We are given:
```
62,474
- 58,321
--------
04,153
```
And the result is stated as 4,153, which matches the calculation.
But let’s verify this step by step to ensure correctness.
---
```
62,474
- 58,321
--------
```
Now subtract digit by digit from right to left.
---
#### Units place:
4 - 1 = 3 ✔
#### Tens place:
7 - 2 = 5 ✔
#### Hundreds place:
4 - 3 = 1 ✔
#### Thousands place:
2 - 8 → Can't do, so we need to borrow.
But 2 is less than 8, so we look to the next digit (ten thousands place).
The number is:
```
6 2 4 7 4
- 5 8 3 2 1
```
So let's go digit by digit:
---
Start from the right:
1. Units: 4 - 1 = 3
2. Tens: 7 - 2 = 5
3. Hundreds: 4 - 3 = 1
4. Thousands: 2 - 8 → Not possible. Need to borrow.
But the ten-thousands digit is 6, and the thousands digit is 2.
So we borrow from the 6 (in 60,000 place), turning it into 5, and add 10 to the 2 → becomes 12.
Now: 12 - 8 = 4
5. Ten-thousands: After borrowing, we have 5 - 5 = 0
So the result is:
```
62,474
- 58,321
--------
4,153
```
Which matches what is written.
---
✔ The subtraction is correct:
62,474 - 58,321 = 4,153
---
The red text at the top says:
> 62 474 – 58 321 = 4153
This is correct, though it omits a leading zero in the result (but 04153 = 4153). The blue digits show the subtraction process with borrowing.
In the top row, you see 56¹², which likely represents the borrowing steps:
- The 6 becomes 5 after lending 1 to the thousands place.
- The 2 becomes 12 after borrowing (so 12 - 8 = 4).
- Then the 4 becomes 14? Wait — no, actually, let's check that.
Wait — perhaps the "56¹²" notation is showing the intermediate steps of borrowing.
Let’s break down the borrowing:
- We start with:
```
6 2 4 7 4
- 5 8 3 2 1
```
- At the thousands place: 2 < 8 → borrow from 6 (ten-thousands place).
So:
- 6 becomes 5
- 2 becomes 12
Now: 12 - 8 = 4
- But now we must consider if any further borrowing is needed?
No, because the hundreds digit (4) is greater than 3, tens (7 > 2), units (4 > 1), so no further borrowing.
So the "56¹²" above the 62,474 likely means:
- The original 6 (ten-thousands) becomes 5 after lending 1.
- The 2 (thousands) becomes 12 after borrowing.
So yes, the notation 56¹² is shorthand for:
- 6 → 5 (after borrowing)
- 2 → 12 (after borrowing)
Then:
- 12 - 8 = 4 (thousands)
- 5 - 5 = 0 (ten-thousands)
Thus, result: 04,153 → 4,153
---
The calculation is correct.
62,474 - 58,321 = 4,153
The image correctly shows the subtraction with borrowing, and the final answer is accurate.
We are given:
```
62,474
- 58,321
--------
04,153
```
And the result is stated as 4,153, which matches the calculation.
But let’s verify this step by step to ensure correctness.
---
Step 1: Write the numbers vertically
```
62,474
- 58,321
--------
```
Now subtract digit by digit from right to left.
---
Step 2: Subtract column by column (right to left)
#### Units place:
4 - 1 = 3 ✔
#### Tens place:
7 - 2 = 5 ✔
#### Hundreds place:
4 - 3 = 1 ✔
#### Thousands place:
2 - 8 → Can't do, so we need to borrow.
But 2 is less than 8, so we look to the next digit (ten thousands place).
The number is:
```
6 2 4 7 4
- 5 8 3 2 1
```
So let's go digit by digit:
---
Detailed Subtraction with Borrowing:
Start from the right:
1. Units: 4 - 1 = 3
2. Tens: 7 - 2 = 5
3. Hundreds: 4 - 3 = 1
4. Thousands: 2 - 8 → Not possible. Need to borrow.
But the ten-thousands digit is 6, and the thousands digit is 2.
So we borrow from the 6 (in 60,000 place), turning it into 5, and add 10 to the 2 → becomes 12.
Now: 12 - 8 = 4
5. Ten-thousands: After borrowing, we have 5 - 5 = 0
So the result is:
```
62,474
- 58,321
--------
4,153
```
Which matches what is written.
---
Final Answer:
✔ The subtraction is correct:
62,474 - 58,321 = 4,153
---
Explanation of the Image:
The red text at the top says:
> 62 474 – 58 321 = 4153
This is correct, though it omits a leading zero in the result (but 04153 = 4153). The blue digits show the subtraction process with borrowing.
In the top row, you see 56¹², which likely represents the borrowing steps:
- The 6 becomes 5 after lending 1 to the thousands place.
- The 2 becomes 12 after borrowing (so 12 - 8 = 4).
- Then the 4 becomes 14? Wait — no, actually, let's check that.
Wait — perhaps the "56¹²" notation is showing the intermediate steps of borrowing.
Let’s break down the borrowing:
- We start with:
```
6 2 4 7 4
- 5 8 3 2 1
```
- At the thousands place: 2 < 8 → borrow from 6 (ten-thousands place).
So:
- 6 becomes 5
- 2 becomes 12
Now: 12 - 8 = 4
- But now we must consider if any further borrowing is needed?
No, because the hundreds digit (4) is greater than 3, tens (7 > 2), units (4 > 1), so no further borrowing.
So the "56¹²" above the 62,474 likely means:
- The original 6 (ten-thousands) becomes 5 after lending 1.
- The 2 (thousands) becomes 12 after borrowing.
So yes, the notation 56¹² is shorthand for:
- 6 → 5 (after borrowing)
- 2 → 12 (after borrowing)
Then:
- 12 - 8 = 4 (thousands)
- 5 - 5 = 0 (ten-thousands)
Thus, result: 04,153 → 4,153
---
✔ Conclusion:
The calculation is correct.
62,474 - 58,321 = 4,153
The image correctly shows the subtraction with borrowing, and the final answer is accurate.
Parent Tip: Review the logic above to help your child master the concept of subtraction worksheet large.