Grade 6 Multiplication Worksheets | Free Printables | Math Worksheets - Free Printable
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Show Answer Key & Explanations
Step-by-step solution for: Grade 6 Multiplication Worksheets | Free Printables | Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Grade 6 Multiplication Worksheets | Free Printables | Math Worksheets
Let’s solve each multiplication problem step by step. We’ll multiply the numbers carefully, one at a time.
---
1. 682 × 449
Break it down:
- 682 × 400 = 272,800
- 682 × 40 = 27,280
- 682 × 9 = 6,138
Add them:
272,800 + 27,280 = 300,080
300,080 + 6,138 = 306,218
✔ Check with calculator-style multiplication:
```
682
x 449
-----
6138 ← 682×9
27280 ← 682×40 (shifted left)
+272800 ← 682×400 (shifted left twice)
-------
306218
```
→ Answer: 306,218
---
2. 945 × 246
Break it down:
- 945 × 200 = 189,000
- 945 × 40 = 37,800
- 945 × 6 = 5,670
Add them:
189,000 + 37,800 = 226,800
226,800 + 5,670 = 232,470
Check:
```
945
x 246
-----
5670 ← 945×6
37800 ← 945×40
+189000 ← 945×200
-------
232470
```
→ Answer: 232,470
---
3. 379 × 527
Break it down:
- 379 × 500 = 189,500
- 379 × 20 = 7,580
- 379 × 7 = 2,653
Add them:
189,500 + 7,580 = 197,080
197,080 + 2,653 = 199,733
Check:
```
379
x 527
-----
2653 ← 379×7
7580 ← 379×20
+189500 ← 379×500
-------
199733
```
→ Answer: 199,733
---
4. 543 × 967
Break it down:
- 543 × 900 = 488,700
- 543 × 60 = 32,580
- 543 × 7 = 3,801
Add them:
488,700 + 32,580 = 521,280
521,280 + 3,801 = 525,081
Check:
```
543
x 967
-----
3801 ← 543×7
32580 ← 543×60
+488700 ← 543×900
-------
525081
```
→ Answer: 525,081
---
5. 648 × 273
Break it down:
- 648 × 200 = 129,600
- 648 × 70 = 45,360
- 648 × 3 = 1,944
Add them:
129,600 + 45,360 = 174,960
174,960 + 1,944 = 176,904
Check:
```
648
x 273
-----
1944 ← 648×3
45360 ← 648×70
+129600 ← 648×200
-------
176904
```
→ Answer: 176,904
---
6. 994 × 226
Break it down:
- 994 × 200 = 198,800
- 994 × 20 = 19,880
- 994 × 6 = 5,964
Add them:
198,800 + 19,880 = 218,680
218,680 + 5,964 = 224,644
Check:
```
994
x 226
-----
5964 ← 994×6
19880 ← 994×20
+198800 ← 994×200
-------
224644
```
→ Answer: 224,644
---
7. 948 × 343
Break it down:
- 948 × 300 = 284,400
- 948 × 40 = 37,920
- 948 × 3 = 2,844
Add them:
284,400 + 37,920 = 322,320
322,320 + 2,844 = 325,164
Check:
```
948
x 343
-----
2844 ← 948×3
37920 ← 948×40
+284400 ← 948×300
-------
325164
```
→ Answer: 325,164
---
8. 762 × 928
Break it down:
- 762 × 900 = 685,800
- 762 × 20 = 15,240
- 762 × 8 = 6,096
Add them:
685,800 + 15,240 = 701,040
701,040 + 6,096 = 707,136
Check:
```
762
x 928
-----
6096 ← 762×8
15240 ← 762×20
+685800 ← 762×900
-------
707136
```
→ Answer: 707,136
---
9. 243 × 748
Break it down:
- 243 × 700 = 170,100
- 243 × 40 = 9,720
- 243 × 8 = 1,944
Add them:
170,100 + 9,720 = 179,820
179,820 + 1,944 = 181,764
Check:
```
243
x 748
-----
1944 ← 243×8
9720 ← 243×40
+170100 ← 243×700
-------
181764
```
→ Answer: 181,764
---
10. 562 × 392
Break it down:
- 562 × 300 = 168,600
- 562 × 90 = 50,580
- 562 × 2 = 1,124
Add them:
168,600 + 50,580 = 219,180
219,180 + 1,124 = 220,304
Check:
```
562
x 392
-----
1124 ← 562×2
50580 ← 562×90
+168600 ← 562×300
-------
220304
```
→ Answer: 220,304
---
11. 447 × 826
Break it down:
- 447 × 800 = 357,600
- 447 × 20 = 8,940
- 447 × 6 = 2,682
Add them:
357,600 + 8,940 = 366,540
366,540 + 2,682 = 369,222
Check:
```
447
x 826
-----
2682 ← 447×6
8940 ← 447×20
+357600 ← 447×800
-------
369222
```
→ Answer: 369,222
---
12. 276 × 647
Break it down:
- 276 × 600 = 165,600
- 276 × 40 = 11,040
- 276 × 7 = 1,932
Add them:
165,600 + 11,040 = 176,640
176,640 + 1,932 = 178,572
Check:
```
276
x 647
-----
1932 ← 276×7
11040 ← 276×40
+165600 ← 276×600
-------
178572
```
→ Answer: 178,572
---
Final Answer:
1. 306,218
2. 232,470
3. 199,733
4. 525,081
5. 176,904
6. 224,644
7. 325,164
8. 707,136
9. 181,764
10. 220,304
11. 369,222
12. 178,572
---
1. 682 × 449
Break it down:
- 682 × 400 = 272,800
- 682 × 40 = 27,280
- 682 × 9 = 6,138
Add them:
272,800 + 27,280 = 300,080
300,080 + 6,138 = 306,218
✔ Check with calculator-style multiplication:
```
682
x 449
-----
6138 ← 682×9
27280 ← 682×40 (shifted left)
+272800 ← 682×400 (shifted left twice)
-------
306218
```
→ Answer: 306,218
---
2. 945 × 246
Break it down:
- 945 × 200 = 189,000
- 945 × 40 = 37,800
- 945 × 6 = 5,670
Add them:
189,000 + 37,800 = 226,800
226,800 + 5,670 = 232,470
Check:
```
945
x 246
-----
5670 ← 945×6
37800 ← 945×40
+189000 ← 945×200
-------
232470
```
→ Answer: 232,470
---
3. 379 × 527
Break it down:
- 379 × 500 = 189,500
- 379 × 20 = 7,580
- 379 × 7 = 2,653
Add them:
189,500 + 7,580 = 197,080
197,080 + 2,653 = 199,733
Check:
```
379
x 527
-----
2653 ← 379×7
7580 ← 379×20
+189500 ← 379×500
-------
199733
```
→ Answer: 199,733
---
4. 543 × 967
Break it down:
- 543 × 900 = 488,700
- 543 × 60 = 32,580
- 543 × 7 = 3,801
Add them:
488,700 + 32,580 = 521,280
521,280 + 3,801 = 525,081
Check:
```
543
x 967
-----
3801 ← 543×7
32580 ← 543×60
+488700 ← 543×900
-------
525081
```
→ Answer: 525,081
---
5. 648 × 273
Break it down:
- 648 × 200 = 129,600
- 648 × 70 = 45,360
- 648 × 3 = 1,944
Add them:
129,600 + 45,360 = 174,960
174,960 + 1,944 = 176,904
Check:
```
648
x 273
-----
1944 ← 648×3
45360 ← 648×70
+129600 ← 648×200
-------
176904
```
→ Answer: 176,904
---
6. 994 × 226
Break it down:
- 994 × 200 = 198,800
- 994 × 20 = 19,880
- 994 × 6 = 5,964
Add them:
198,800 + 19,880 = 218,680
218,680 + 5,964 = 224,644
Check:
```
994
x 226
-----
5964 ← 994×6
19880 ← 994×20
+198800 ← 994×200
-------
224644
```
→ Answer: 224,644
---
7. 948 × 343
Break it down:
- 948 × 300 = 284,400
- 948 × 40 = 37,920
- 948 × 3 = 2,844
Add them:
284,400 + 37,920 = 322,320
322,320 + 2,844 = 325,164
Check:
```
948
x 343
-----
2844 ← 948×3
37920 ← 948×40
+284400 ← 948×300
-------
325164
```
→ Answer: 325,164
---
8. 762 × 928
Break it down:
- 762 × 900 = 685,800
- 762 × 20 = 15,240
- 762 × 8 = 6,096
Add them:
685,800 + 15,240 = 701,040
701,040 + 6,096 = 707,136
Check:
```
762
x 928
-----
6096 ← 762×8
15240 ← 762×20
+685800 ← 762×900
-------
707136
```
→ Answer: 707,136
---
9. 243 × 748
Break it down:
- 243 × 700 = 170,100
- 243 × 40 = 9,720
- 243 × 8 = 1,944
Add them:
170,100 + 9,720 = 179,820
179,820 + 1,944 = 181,764
Check:
```
243
x 748
-----
1944 ← 243×8
9720 ← 243×40
+170100 ← 243×700
-------
181764
```
→ Answer: 181,764
---
10. 562 × 392
Break it down:
- 562 × 300 = 168,600
- 562 × 90 = 50,580
- 562 × 2 = 1,124
Add them:
168,600 + 50,580 = 219,180
219,180 + 1,124 = 220,304
Check:
```
562
x 392
-----
1124 ← 562×2
50580 ← 562×90
+168600 ← 562×300
-------
220304
```
→ Answer: 220,304
---
11. 447 × 826
Break it down:
- 447 × 800 = 357,600
- 447 × 20 = 8,940
- 447 × 6 = 2,682
Add them:
357,600 + 8,940 = 366,540
366,540 + 2,682 = 369,222
Check:
```
447
x 826
-----
2682 ← 447×6
8940 ← 447×20
+357600 ← 447×800
-------
369222
```
→ Answer: 369,222
---
12. 276 × 647
Break it down:
- 276 × 600 = 165,600
- 276 × 40 = 11,040
- 276 × 7 = 1,932
Add them:
165,600 + 11,040 = 176,640
176,640 + 1,932 = 178,572
Check:
```
276
x 647
-----
1932 ← 276×7
11040 ← 276×40
+165600 ← 276×600
-------
178572
```
→ Answer: 178,572
---
Final Answer:
1. 306,218
2. 232,470
3. 199,733
4. 525,081
5. 176,904
6. 224,644
7. 325,164
8. 707,136
9. 181,764
10. 220,304
11. 369,222
12. 178,572
Parent Tip: Review the logic above to help your child master the concept of multiply by 6 worksheet.
