Mixed 4 operations worksheets | Worsheets library - Free Printable
Educational worksheet: Mixed 4 operations worksheets | Worsheets library. Download and print for classroom or home learning activities.
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Step-by-step solution for: Mixed 4 operations worksheets | Worsheets library
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Show Answer Key & Explanations
Step-by-step solution for: Mixed 4 operations worksheets | Worsheets library
Let’s solve each problem one by one. We’ll do the math carefully and check our work.
---
First row:
1. 503 × 87
Break it down:
- 503 × 80 = 40,240
- 503 × 7 = 3,521
Add them: 40,240 + 3,521 = 43,761
✔ Check: 500×87 = 43,500; 3×87=261 → 43,500+261=43,761 ✔️
2. 20 ) 880 (That’s 880 ÷ 20)
880 ÷ 20 = 44
Because 20 × 44 = 880 ✔️
3. 9,665 + 77
9,665 + 70 = 9,735
9,735 + 7 = 9,742
✔ Check: 9,665 + 77 → 65+77=142 → so 9,600 + 142 = 9,742 ✔️
4. 21 ) 9,818 (That’s 9,818 ÷ 21)
Let’s divide:
21 × 400 = 8,400
Subtract: 9,818 - 8,400 = 1,418
21 × 60 = 1,260
Subtract: 1,418 - 1,260 = 158
21 × 7 = 147
Subtract: 158 - 147 = 11 → remainder 11
So total: 400 + 60 + 7 = 467 R11
But let’s check if we can write as decimal or just quotient with remainder? Since it’s a worksheet, likely expects whole number quotient and remainder.
Wait — maybe I made a mistake? Let me try long division properly.
Actually, 21 × 467 = ?
21 × 400 = 8,400
21 × 60 = 1,260 → total 9,660
21 × 7 = 147 → 9,660 + 147 = 9,807
9,818 - 9,807 = 11 → yes, 467 R11
But sometimes worksheets expect exact division — did I misread? The problem says “21 ) 9818” — that’s 9818 divided by 21.
Wait — maybe it’s 9818 ÷ 21? Let me calculate again:
21 × 467 = 9807 → remainder 11 → correct.
But perhaps the worksheet has a typo? Or maybe I should leave it as 467 R11.
Alternatively, maybe it’s meant to be divisible? Let me check 9818 ÷ 21 on calculator mentally:
21 × 467 = 9807 → 9818 - 9807 = 11 → yes.
We’ll go with 467 remainder 11, but since other problems are clean, maybe I misread the number?
Looking back at image description: “21 ) 9818” — yes.
Perhaps in context of mixed operations, they want full answer including remainder. We’ll note it.
But wait — let’s hold off and do others first.
---
Second row:
5. 996 × 223
This is big. Break it down:
996 × 200 = 199,200
996 × 20 = 19,920
996 × 3 = 2,988
Now add:
199,200 + 19,920 = 219,120
219,120 + 2,988 = 222,108
✔ Check: 1000×223 = 223,000 minus 4×223=892 → 223,000 - 892 = 222,108 ✔️
6. 574 × 26
574 × 20 = 11,480
574 × 6 = 3,444
Add: 11,480 + 3,444 = 14,924
✔ Check: 500×26=13,000; 74×26=1,924 → 13,000+1,924=14,924 ✔️
7. 434 - 188
434 - 100 = 334
334 - 80 = 254
254 - 8 = 246
✔ Check: 434 - 188 → 434 - 200 = 234, then +12 = 246 ✔️
8. 4,512 + 812
4,512 + 800 = 5,312
5,312 + 12 = 5,324
✔ Check: 4500+800=5300; 12+12=24 → 5324 ✔️
---
Third row:
9. 20 ) 1,180 → 1,180 ÷ 20
1,180 ÷ 20 = 59
Because 20 × 59 = 1,180 ✔️
10. 247 - 86
247 - 80 = 167
167 - 6 = 161
✔ Check: 247 - 86 → 247 - 90 = 157, then +4 = 161 ✔️
11. 4,686 - 862
4,686 - 800 = 3,886
3,886 - 60 = 3,826
3,826 - 2 = 3,824
✔ Check: 4686 - 862 → align:
4686
- 862
------
Start from right: 6-2=4, 8-6=2, 6-8 can’t → borrow: 16-8=8, then 3 (since borrowed) -0=3? Wait:
Actually:
Thousands: 4
Hundreds: 6 - 8 → can’t, so borrow from thousands → 16 - 8 = 8, thousands becomes 3
Tens: 8 - 6 = 2 (but we didn’t borrow here?) Wait no:
Better:
4686
- 862
------
Units: 6-2=4
Tens: 8-6=2
Hundreds: 6-8 → can’t, so borrow from thousands → 16-8=8, thousands digit was 4, now 3
Thousands: 3 - 0 = 3
So result: 3,824 ✔️
12. 507 + 83
507 + 80 = 587
587 + 3 = 590
✔ Check: 500+83=583, plus 7=590 ✔️
---
Now back to problem #4: 21 ) 9818
We had 21 × 467 = 9807, remainder 11.
But let me double-check multiplication:
21 × 467:
Break 467 into 400 + 60 + 7
21×400 = 8,400
21×60 = 1,260 → total 9,660
21×7 = 147 → 9,660 + 147 = 9,807
9,818 - 9,807 = 11 → yes.
So answer is 467 with remainder 11.
In some contexts, they might write it as 467 R11 or as a fraction, but since this is elementary math practice, probably acceptable.
Alternatively, maybe the number is 9807? But image says 9818.
I think we have to go with what’s given.
---
Now compile all answers:
Row 1:
1. 503 × 87 = 43,761
2. 880 ÷ 20 = 44
3. 9,665 + 77 = 9,742
4. 9,818 ÷ 21 = 467 R11 (or 467 remainder 11)
Row 2:
5. 996 × 223 = 222,108
6. 574 × 26 = 14,924
7. 434 - 188 = 246
8. 4,512 + 812 = 5,324
Row 3:
9. 1,180 ÷ 20 = 59
10. 247 - 86 = 161
11. 4,686 - 862 = 3,824
12. 507 + 83 = 590
All checked.
Final Answer:
43,761
44
9,742
467 R11
222,108
14,924
246
5,324
59
161
3,824
590
---
First row:
1. 503 × 87
Break it down:
- 503 × 80 = 40,240
- 503 × 7 = 3,521
Add them: 40,240 + 3,521 = 43,761
✔ Check: 500×87 = 43,500; 3×87=261 → 43,500+261=43,761 ✔️
2. 20 ) 880 (That’s 880 ÷ 20)
880 ÷ 20 = 44
Because 20 × 44 = 880 ✔️
3. 9,665 + 77
9,665 + 70 = 9,735
9,735 + 7 = 9,742
✔ Check: 9,665 + 77 → 65+77=142 → so 9,600 + 142 = 9,742 ✔️
4. 21 ) 9,818 (That’s 9,818 ÷ 21)
Let’s divide:
21 × 400 = 8,400
Subtract: 9,818 - 8,400 = 1,418
21 × 60 = 1,260
Subtract: 1,418 - 1,260 = 158
21 × 7 = 147
Subtract: 158 - 147 = 11 → remainder 11
So total: 400 + 60 + 7 = 467 R11
But let’s check if we can write as decimal or just quotient with remainder? Since it’s a worksheet, likely expects whole number quotient and remainder.
Wait — maybe I made a mistake? Let me try long division properly.
Actually, 21 × 467 = ?
21 × 400 = 8,400
21 × 60 = 1,260 → total 9,660
21 × 7 = 147 → 9,660 + 147 = 9,807
9,818 - 9,807 = 11 → yes, 467 R11
But sometimes worksheets expect exact division — did I misread? The problem says “21 ) 9818” — that’s 9818 divided by 21.
Wait — maybe it’s 9818 ÷ 21? Let me calculate again:
21 × 467 = 9807 → remainder 11 → correct.
But perhaps the worksheet has a typo? Or maybe I should leave it as 467 R11.
Alternatively, maybe it’s meant to be divisible? Let me check 9818 ÷ 21 on calculator mentally:
21 × 467 = 9807 → 9818 - 9807 = 11 → yes.
We’ll go with 467 remainder 11, but since other problems are clean, maybe I misread the number?
Looking back at image description: “21 ) 9818” — yes.
Perhaps in context of mixed operations, they want full answer including remainder. We’ll note it.
But wait — let’s hold off and do others first.
---
Second row:
5. 996 × 223
This is big. Break it down:
996 × 200 = 199,200
996 × 20 = 19,920
996 × 3 = 2,988
Now add:
199,200 + 19,920 = 219,120
219,120 + 2,988 = 222,108
✔ Check: 1000×223 = 223,000 minus 4×223=892 → 223,000 - 892 = 222,108 ✔️
6. 574 × 26
574 × 20 = 11,480
574 × 6 = 3,444
Add: 11,480 + 3,444 = 14,924
✔ Check: 500×26=13,000; 74×26=1,924 → 13,000+1,924=14,924 ✔️
7. 434 - 188
434 - 100 = 334
334 - 80 = 254
254 - 8 = 246
✔ Check: 434 - 188 → 434 - 200 = 234, then +12 = 246 ✔️
8. 4,512 + 812
4,512 + 800 = 5,312
5,312 + 12 = 5,324
✔ Check: 4500+800=5300; 12+12=24 → 5324 ✔️
---
Third row:
9. 20 ) 1,180 → 1,180 ÷ 20
1,180 ÷ 20 = 59
Because 20 × 59 = 1,180 ✔️
10. 247 - 86
247 - 80 = 167
167 - 6 = 161
✔ Check: 247 - 86 → 247 - 90 = 157, then +4 = 161 ✔️
11. 4,686 - 862
4,686 - 800 = 3,886
3,886 - 60 = 3,826
3,826 - 2 = 3,824
✔ Check: 4686 - 862 → align:
4686
- 862
------
Start from right: 6-2=4, 8-6=2, 6-8 can’t → borrow: 16-8=8, then 3 (since borrowed) -0=3? Wait:
Actually:
Thousands: 4
Hundreds: 6 - 8 → can’t, so borrow from thousands → 16 - 8 = 8, thousands becomes 3
Tens: 8 - 6 = 2 (but we didn’t borrow here?) Wait no:
Better:
4686
- 862
------
Units: 6-2=4
Tens: 8-6=2
Hundreds: 6-8 → can’t, so borrow from thousands → 16-8=8, thousands digit was 4, now 3
Thousands: 3 - 0 = 3
So result: 3,824 ✔️
12. 507 + 83
507 + 80 = 587
587 + 3 = 590
✔ Check: 500+83=583, plus 7=590 ✔️
---
Now back to problem #4: 21 ) 9818
We had 21 × 467 = 9807, remainder 11.
But let me double-check multiplication:
21 × 467:
Break 467 into 400 + 60 + 7
21×400 = 8,400
21×60 = 1,260 → total 9,660
21×7 = 147 → 9,660 + 147 = 9,807
9,818 - 9,807 = 11 → yes.
So answer is 467 with remainder 11.
In some contexts, they might write it as 467 R11 or as a fraction, but since this is elementary math practice, probably acceptable.
Alternatively, maybe the number is 9807? But image says 9818.
I think we have to go with what’s given.
---
Now compile all answers:
Row 1:
1. 503 × 87 = 43,761
2. 880 ÷ 20 = 44
3. 9,665 + 77 = 9,742
4. 9,818 ÷ 21 = 467 R11 (or 467 remainder 11)
Row 2:
5. 996 × 223 = 222,108
6. 574 × 26 = 14,924
7. 434 - 188 = 246
8. 4,512 + 812 = 5,324
Row 3:
9. 1,180 ÷ 20 = 59
10. 247 - 86 = 161
11. 4,686 - 862 = 3,824
12. 507 + 83 = 590
All checked.
Final Answer:
43,761
44
9,742
467 R11
222,108
14,924
246
5,324
59
161
3,824
590
Parent Tip: Review the logic above to help your child master the concept of basic operations worksheet.