Math worksheet featuring addition and subtraction word problems for students to solve.
A math worksheet titled "Application Addition and Subtraction Word Problems" with five word problems requiring students to decide whether to add or subtract to solve each problem.
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Step-by-step solution for: Addition and Subtraction Word Problems exercise
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Show Answer Key & Explanations
Step-by-step solution for: Addition and Subtraction Word Problems exercise
Let’s solve each problem one by one. We’ll decide whether to add or subtract, then do the math carefully.
---
Problem 1:
49 fourth graders + 35 fifth graders + 76 sixth graders = total students
We are combining groups → add
Step-by-step:
49 + 35 = 84
84 + 76 = 160
✔ Total students = 160
---
Problem 2:
Truck holds up to 11,256 gallons
Already has 9,365 gallons
How many more needed? → We find the difference → subtract
11,256 - 9,365
Let’s compute:
Start from right:
6 - 5 = 1
5 - 6 → can’t do, borrow → 15 - 6 = 9 (and 2 becomes 1)
1 - 3 → can’t do, borrow → 11 - 3 = 8 (and 1 becomes 0)
0 - 9 → can’t do, borrow → 10 - 9 = 1 (and 1 becomes 0)
0 - 0 = 0 (but we had borrowed earlier — actually let’s write it out properly):
Better way:
```
11256
- 9365
-------
```
6 - 5 = 1
5 - 6 → borrow → 15 - 6 = 9 (tens place now 4)
4 - 3 = 1
1 - 9 → borrow → 11 - 9 = 2 (thousands place was 1, now 0 after borrow)
0 - 0 = 0 (ten-thousands)
Wait — let me line it up:
11256
- 9365
________
Start from right:
Units: 6 - 5 = 1
Tens: 5 - 6 → borrow from hundreds → 15 - 6 = 9; hundreds digit becomes 1 (was 2)
Hundreds: 1 - 3 → borrow from thousands → 11 - 3 = 8; thousands digit becomes 0 (was 1)
Thousands: 0 - 9 → borrow from ten-thousands → 10 - 9 = 1; ten-thousands becomes 0
Ten-thousands: 0 - 0 = 0
So result is 1891
Check: 9365 + 1891 = ?
9365 + 1800 = 11165
11165 + 91 = 11256 ✔
✔ Gallons needed = 1,891
---
Problem 3:
Total participants: 835,478
Finishers: 50,386
Unable to complete = total - finishers → subtract
835,478 - 50,386
Compute:
835478
-50386
______
Align:
835478
- 50386
________
Start from right:
8 - 6 = 2
7 - 8 → borrow → 17 - 8 = 9; tens digit becomes 3 (was 4)
3 - 3 = 0
5 - 0 = 5
3 - 5 → wait, no — let's align properly:
Actually:
835478
- 50386
________
Write as:
835478
- 050386 ← pad with zero for alignment
_________
Now:
Units: 8 - 6 = 2
Tens: 7 - 8 → borrow → 17 - 8 = 9; hundreds digit 4 becomes 3
Hundreds: 3 - 3 = 0
Thousands: 5 - 0 = 5
Ten-thousands: 3 - 5 → borrow → 13 - 5 = 8; hundred-thousands 8 becomes 7
Hundred-thousands: 7 - 0 = 7
Result: 785,092
Check: 50,386 + 785,092 = ?
50,386 + 785,092 = 835,478 ✔
✔ Participants unable to complete = 785,092
---
Problem 4:
Male runners: 20,144
Female runners: 17,038
Total runners who completed → combine → add
20,144 + 17,038
Add:
4 + 8 = 12 → write 2, carry 1
4 + 3 + 1 = 8
1 + 0 = 1
0 + 7 = 7
2 + 1 = 3
→ 37,182
Check: 20,144 + 17,038
20,000 + 17,000 = 37,000
144 + 38 = 182
Total: 37,182 ✔
✔ Total runners = 37,182
---
Problem 5:
Asian elephant: 11,950 pounds
African elephant: 13,220 pounds
Difference → bigger minus smaller → subtract
13,220 - 11,950
Compute:
13220
-11950
______
0 - 0 = 0
2 - 5 → borrow → 12 - 5 = 7; tens digit 2 becomes 1
1 - 9 → borrow → 11 - 9 = 2; hundreds digit 2 becomes 1
1 - 1 = 0
1 - 1 = 0
Wait — better:
13220
- 11950
_______
Units: 0 - 0 = 0
Tens: 2 - 5 → borrow from hundreds → 12 - 5 = 7; hundreds digit 2 becomes 1
Hundreds: 1 - 9 → borrow from thousands → 11 - 9 = 2; thousands digit 3 becomes 2
Thousands: 2 - 1 = 1
Ten-thousands: 1 - 1 = 0
Result: 1,270
Check: 11,950 + 1,270 = 13,220 ✔
✔ Difference in weight = 1,270 pounds
---
Final Answer:
1. (a) add → 160 students
2. (b) subtract → 1,891 gallons of oil
3. (b) subtract → 785,092 participants
4. (a) add → 37,182 runners
5. (b) subtract → 1,270 pounds
---
Problem 1:
49 fourth graders + 35 fifth graders + 76 sixth graders = total students
We are combining groups → add
Step-by-step:
49 + 35 = 84
84 + 76 = 160
✔ Total students = 160
---
Problem 2:
Truck holds up to 11,256 gallons
Already has 9,365 gallons
How many more needed? → We find the difference → subtract
11,256 - 9,365
Let’s compute:
Start from right:
6 - 5 = 1
5 - 6 → can’t do, borrow → 15 - 6 = 9 (and 2 becomes 1)
1 - 3 → can’t do, borrow → 11 - 3 = 8 (and 1 becomes 0)
0 - 9 → can’t do, borrow → 10 - 9 = 1 (and 1 becomes 0)
0 - 0 = 0 (but we had borrowed earlier — actually let’s write it out properly):
Better way:
```
11256
- 9365
-------
```
6 - 5 = 1
5 - 6 → borrow → 15 - 6 = 9 (tens place now 4)
4 - 3 = 1
1 - 9 → borrow → 11 - 9 = 2 (thousands place was 1, now 0 after borrow)
0 - 0 = 0 (ten-thousands)
Wait — let me line it up:
11256
- 9365
________
Start from right:
Units: 6 - 5 = 1
Tens: 5 - 6 → borrow from hundreds → 15 - 6 = 9; hundreds digit becomes 1 (was 2)
Hundreds: 1 - 3 → borrow from thousands → 11 - 3 = 8; thousands digit becomes 0 (was 1)
Thousands: 0 - 9 → borrow from ten-thousands → 10 - 9 = 1; ten-thousands becomes 0
Ten-thousands: 0 - 0 = 0
So result is 1891
Check: 9365 + 1891 = ?
9365 + 1800 = 11165
11165 + 91 = 11256 ✔
✔ Gallons needed = 1,891
---
Problem 3:
Total participants: 835,478
Finishers: 50,386
Unable to complete = total - finishers → subtract
835,478 - 50,386
Compute:
835478
-50386
______
Align:
835478
- 50386
________
Start from right:
8 - 6 = 2
7 - 8 → borrow → 17 - 8 = 9; tens digit becomes 3 (was 4)
3 - 3 = 0
5 - 0 = 5
3 - 5 → wait, no — let's align properly:
Actually:
835478
- 50386
________
Write as:
835478
- 050386 ← pad with zero for alignment
_________
Now:
Units: 8 - 6 = 2
Tens: 7 - 8 → borrow → 17 - 8 = 9; hundreds digit 4 becomes 3
Hundreds: 3 - 3 = 0
Thousands: 5 - 0 = 5
Ten-thousands: 3 - 5 → borrow → 13 - 5 = 8; hundred-thousands 8 becomes 7
Hundred-thousands: 7 - 0 = 7
Result: 785,092
Check: 50,386 + 785,092 = ?
50,386 + 785,092 = 835,478 ✔
✔ Participants unable to complete = 785,092
---
Problem 4:
Male runners: 20,144
Female runners: 17,038
Total runners who completed → combine → add
20,144 + 17,038
Add:
4 + 8 = 12 → write 2, carry 1
4 + 3 + 1 = 8
1 + 0 = 1
0 + 7 = 7
2 + 1 = 3
→ 37,182
Check: 20,144 + 17,038
20,000 + 17,000 = 37,000
144 + 38 = 182
Total: 37,182 ✔
✔ Total runners = 37,182
---
Problem 5:
Asian elephant: 11,950 pounds
African elephant: 13,220 pounds
Difference → bigger minus smaller → subtract
13,220 - 11,950
Compute:
13220
-11950
______
0 - 0 = 0
2 - 5 → borrow → 12 - 5 = 7; tens digit 2 becomes 1
1 - 9 → borrow → 11 - 9 = 2; hundreds digit 2 becomes 1
1 - 1 = 0
1 - 1 = 0
Wait — better:
13220
- 11950
_______
Units: 0 - 0 = 0
Tens: 2 - 5 → borrow from hundreds → 12 - 5 = 7; hundreds digit 2 becomes 1
Hundreds: 1 - 9 → borrow from thousands → 11 - 9 = 2; thousands digit 3 becomes 2
Thousands: 2 - 1 = 1
Ten-thousands: 1 - 1 = 0
Result: 1,270
Check: 11,950 + 1,270 = 13,220 ✔
✔ Difference in weight = 1,270 pounds
---
Final Answer:
1. (a) add → 160 students
2. (b) subtract → 1,891 gallons of oil
3. (b) subtract → 785,092 participants
4. (a) add → 37,182 runners
5. (b) subtract → 1,270 pounds
Parent Tip: Review the logic above to help your child master the concept of word problems worksheet 4th grade addition and subtraction.