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All questions of Multiplication for Class 6 Exam
Find 1008 × 1002 using the same base method (base 1000).- a)1,010,016
- b)1,016,006
- c)1,016,026
- d)1,016,036
Correct answer is option 'A'. Can you explain this answer?
Find 1008 × 1002 using the same base method (base 1000).
a)
1,010,016
b)
1,016,006
c)
1,016,026
d)
1,016,036
 | Get Idea answered |
Find 1008 × 1002 using the same base method (base 1000).
Calculate 993 × 98 with different bases (1000 and 100).- a)97,314
- b)97,324
- c)97,334
- d)97,344
Correct answer is option 'A'. Can you explain this answer?
a)
97,314
b)
97,324
c)
97,334
d)
97,344
 | Muskaan Choudhury answered |
Understanding the Calculation
To compute 993 × 98, we can break it down using the bases of 1000 and 100 for easier calculations.
Step 1: Using Base 1000
- Round 993 to 1000 and adjust for the difference:
- 993 is 7 less than 1000.
- Calculate using 1000:
- 1000 × 98 = 98,000
- Adjust for the difference:
- 98,000 - (7 × 98) = 98,000 - 686 = 97,314
Step 2: Using Base 100
- Round 993 to 1000, but focus on tens:
- 993 is 3 less than 1000.
- Calculate using 100:
- 990 × 98 = 97020 (990 is the nearest lower multiple of 10).
- Adjust for the difference:
- 97020 + (3 × 98) = 97020 + 294 = 97,314
Final Result
Both methods yield the same result:
- Therefore, 993 × 98 = 97,314.
Conclusion
- The correct answer is option 'A': 97,314.
This demonstrates how breaking down numbers and using different bases can simplify multiplication and confirm accuracy in calculations.
To compute 993 × 98, we can break it down using the bases of 1000 and 100 for easier calculations.
Step 1: Using Base 1000
- Round 993 to 1000 and adjust for the difference:
- 993 is 7 less than 1000.
- Calculate using 1000:
- 1000 × 98 = 98,000
- Adjust for the difference:
- 98,000 - (7 × 98) = 98,000 - 686 = 97,314
Step 2: Using Base 100
- Round 993 to 1000, but focus on tens:
- 993 is 3 less than 1000.
- Calculate using 100:
- 990 × 98 = 97020 (990 is the nearest lower multiple of 10).
- Adjust for the difference:
- 97020 + (3 × 98) = 97020 + 294 = 97,314
Final Result
Both methods yield the same result:
- Therefore, 993 × 98 = 97,314.
Conclusion
- The correct answer is option 'A': 97,314.
This demonstrates how breaking down numbers and using different bases can simplify multiplication and confirm accuracy in calculations.
Calculate 432 × 999 using the "All from 9 and the Last from 10" method.- a)431,568
- b)431,558
- c)431,578
- d)431,548
Correct answer is option 'A'. Can you explain this answer?
a)
431,568
b)
431,558
c)
431,578
d)
431,548
 | Vp Classes answered |
432 × 999 = 432 × (1000 - 1). LHS: 432 - 1 = 431. RHS: Apply sutra to 432 (4 from 9 = 5, 3 from 9 = 6, 2 from 10 = 8) = 568. Combine: 431|568 = 431,568. So, 432 × 999 = 431,568.
Multiply 67 × 63 using the complementary numbers method (sum of units digits is 10).- a)4,221
- b)4,211
- c)4,231
- d)4,201
Correct answer is option 'A'. Can you explain this answer?
a)
4,221
b)
4,211
c)
4,231
d)
4,201
 | Praveen Kumar answered |
First digit is 6 for both, 7 + 3 = 10. LHS: 6 × 7 (one more than 6) = 42. RHS: 7 × 3 = 21. Combine: 42|21 = 4,221. So, 67 × 63 = 4,221.
Using the vertically and crosswise method, find (2x + 3)(3x + 4).- a)6x² + 17x + 12
- b)6x² + 16x + 12
- c)6x² + 17x + 10
- d)6x² + 16x + 10
Correct answer is option 'A'. Can you explain this answer?
a)
6x² + 17x + 12
b)
6x² + 16x + 12
c)
6x² + 17x + 10
d)
6x² + 16x + 10
 | EduRev Class 6 answered |
Vertical: 3 × 4 = 12. Crosswise: 2 × 4 + 3 × 3 = 8 + 9 = 17x. Vertical: 2 × 3 = 6x². Combine: 6x² + 17x + 12. So, (2x + 3)(3x + 4) = 6x² + 17x + 12.
Find 495 × 498 using the sub-base method with a sub-base of 500.- a)246,510
- b)246,500
- c)246,490
- d)246,520
Correct answer is option 'A'. Can you explain this answer?
a)
246,510
b)
246,500
c)
246,490
d)
246,520
 | Coachify answered |
Sub-base is 500 (5 × 100). Write 495|-05 and 498|-02. LHS: 495 - 2 = 493 (or 498 - 5 = 493). RHS: -05 × -02 = 10. Combine: 493 × 5 = 2465, then 2465|10 = 246,510. So, 495 × 498 = 246,510.
Calculate 96 × 97 using the same base method (base 100).- a)9,312
- b)9,302
- c)9,322
- d)9,292
Correct answer is option 'A'. Can you explain this answer?
a)
9,312
b)
9,302
c)
9,322
d)
9,292
 | Gunjan Lakhani answered |
96|-04, 97|-03. Cross-subtract: 96 - 3 = 93 (or 97 - 4 = 93). Vertical: -04 × -03 = 12. Combine: 93|12 = 9,312. So, 96 × 97 = 9,312.
Multiply 887 × 9999 using the "All from 9 and the Last from 10" method.- a)8,869,113
- b)8,869,123
- c)8,869,133
- d)8,869,143
Correct answer is option 'A'. Can you explain this answer?
a)
8,869,113
b)
8,869,123
c)
8,869,133
d)
8,869,143
 | Shiksha Academy answered |
Base 10000. LHS: 887 - 1 = 886. RHS: Apply sutra to 0887 (0 from 9 = 9, 8 from 9 = 1, 8 from 9 = 1, 7 from 10 = 3) = 9113. Combine: 886|9113 = 8,869,113. So, 887 × 9999 = 8,869,113.
Find 54 × 11 using the multiplication by 11 method.- a)584
- b)594
- c)604
- d)574
Correct answer is option 'B'. Can you explain this answer?
a)
584
b)
594
c)
604
d)
574
| | Vp Classes answered |
Write 5|4. Middle: 5 + 4 = 9. Answer: 5|9|4 = 594. So, 54 × 11 = 594.
Using the doubling method, calculate 43 × 8.- a)344
- b)334
- c)354
- d)324
Correct answer is option 'A'. Can you explain this answer?
a)
344
b)
334
c)
354
d)
324
| | Coachify answered |
43 × 8 = 43 × 2 × 2 × 2. First, 43 × 2 = 86. Then, 86 × 2 = 172. Finally, 172 × 2 = 344. So, 43 × 8 = 344.
Using the vertically and crosswise method, multiply 24 × 13.- a)312
- b)302
- c)322
- d)292
Correct answer is option 'A'. Can you explain this answer?
a)
312
b)
302
c)
322
d)
292
 | Eduskill Classes answered |
Vertical: 4 × 3 = 12 (write 2, carry 1). Crosswise: 2 × 3 + 4 × 1 = 6 + 4 = 10 + 1 = 11 (write 1, carry 1). Vertical: 2 × 1 = 2 + 1 = 3. Combine: 3|1|2 = 312. So, 24 × 13 = 312.
Using the making halves method, find 78 × 50.- a)3,900
- b)3,850
- c)3,800
- d)3,950
Correct answer is option 'A'. Can you explain this answer?
a)
3,900
b)
3,850
c)
3,800
d)
3,950
| | Praveen Kumar answered |
78 × 50 = (78 × 100) ÷ 2. First, 78 × 100 = 7,800. Then, 7,800 ÷ 2 = 3,900. So, 78 × 50 = 3,900.
Using the sub-base method, calculate 208 × 196 with a sub-base of 200.- a)40,768
- b)40,758
- c)40,748
- d)40,738
Correct answer is option 'A'. Can you explain this answer?
a)
40,768
b)
40,758
c)
40,748
d)
40,738
 | Rahul Kumar answered |
Sub-base is 200 (2 × 100). Write 208|+08 and 196|-04. LHS: 208 - 4 = 204 (or 196 + 8 = 204). RHS: 08 × -04 = -32. Combine: 204 × 2 = 408, then 408|-32 = 40800 - 32 = 40,768. So, 208 × 196 = 40,768.
Calculate 236 × 111 using the multiplication by 111 method.- a)26,196
- b)26,186
- c)26,176
- d)26,166
Correct answer is option 'A'. Can you explain this answer?
a)
26,196
b)
26,186
c)
26,176
d)
26,166
 | Subset Academy answered |
Write 2|3|6. Second: 2 + 3 = 5. Third: 2 + 3 + 6 = 11 (carry 1). Fourth: 3 + 6 + 1 = 10. Adjust: 2|5 + 1|11|6 = 2|6|1|6. So, 236 × 111 = 26,196.
Find 108 × 104 using the same base method (base 100).- a)11,232
- b)11,222
- c)11,242
- d)11,212
Correct answer is option 'A'. Can you explain this answer?
a)
11,232
b)
11,222
c)
11,242
d)
11,212
| | Eduskill Classes answered |
108|+08, 104|+04. Cross-add: 108 + 4 = 112 (or 104 + 8 = 112). Vertical: 08 × 04 = 32. Combine: 112|32 = 11,232. So, 108 × 104 = 11,232.
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