1. 11 * 24
Answer: 264
Step 1: 1 * 4 = 4 (last digit)
Step 2: 4 * 1 + 1 * 2 = 6
Step 3: 1 * 2 = 2 (first digit)
Therefore, the correct answer is 264.
2. 132 * 456
Answer: 60192
Explanation: Step 1: 6*2 = 12 (write 2, carry 1)
Step 2: 6*3 + 2*5 = 28 + 1 = 29 (write 9, carry 2)
Step 3: 6*1 + 3*5 + 2*4 + 2 (carried) = 31 (write 1, carry 3)
Step 4: 1*5 + 3*4 = 17 + 3 (carried) = 20 (write 0, carry 2)
Step 5: 1*4 = 4 + 2 = 6 (write 6)
Therefore, the correct answer to this is 60192.
3. 27 * 19
Answer: 513
Explanation: Step 1 : 7*9 = 63 (write 3, carry 6)
Step 2: 9*2 + 1*7 + 6 (carried) = 31 (write 1, carry 3)
Step 3: 2*1 = 2 + 3 (carried) = 5
Therefore, the correct answer is 513
4. 35*27
Answer: 945
Explanation: Step 1: 7*5 = 35 (write 5, carry 3)
Step 2: 7*3 + 2*5 = 31 + 3 = 34 (write 4, carry 3)
Step 3: 3*2 + 3 (carried) = 9
Therefore, the correct answer is 945
5. 93*97
Answer: 9021
Explanation: Step 1: 100 – 93 = 7, 100 – 97 = 3, 3*7 = 21 (last two digits)
Step 2: 97 – 7 = 93 – 3 = 90 (first two digits)
Therefore, the correct answer is 9021.
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6. 494*496
Answer: 245024
Explanation: Step 1: 500 – 494 = 6, 500 – 496 = 4
Step 2: 6*4 = 24 (last two digits)
Step 3: 494-4 = 496 -6 = 490*5 = 2450 (first 4 digits)
Therefore, the correct answer is 245021.
7. Find the value of 852
Answer: 60192
Explanation: (8*9) |25 = 7225
8. Find the square of 98
Answer: 9604
Explanation: Step 1: 100 – 98 = 2
Step 2: 2*2 = 04 (last two digits)
Step 3: 98 – 02 = 96 (first two digits)
Therefore, the correct answer is 9604.
9. 107*111
Answer: 11877
Explanation: Step 1: 107 – 100 = 7, 111- 100 = 11 Step 2: 7*11 = 77 (last two digits) Step 3: 107 + 11 = 111 + 07 = 118 (first three digits) Therefore, the correct answer is 11877
10. Find the square of 107.
Answer: 11449
Explanation: (107 + 7)*100 + 7*7 = 114*100 + 49 = 11449
Answer: 264
Step 1: 1 * 4 = 4 (last digit)
Step 2: 4 * 1 + 1 * 2 = 6
Step 3: 1 * 2 = 2 (first digit)
Therefore, the correct answer is 264.
2. 132 * 456
Answer: 60192
Explanation: Step 1: 6*2 = 12 (write 2, carry 1)
Step 2: 6*3 + 2*5 = 28 + 1 = 29 (write 9, carry 2)
Step 3: 6*1 + 3*5 + 2*4 + 2 (carried) = 31 (write 1, carry 3)
Step 4: 1*5 + 3*4 = 17 + 3 (carried) = 20 (write 0, carry 2)
Step 5: 1*4 = 4 + 2 = 6 (write 6)
Therefore, the correct answer to this is 60192.
3. 27 * 19
Answer: 513
Explanation: Step 1 : 7*9 = 63 (write 3, carry 6)
Step 2: 9*2 + 1*7 + 6 (carried) = 31 (write 1, carry 3)
Step 3: 2*1 = 2 + 3 (carried) = 5
Therefore, the correct answer is 513
4. 35*27
Answer: 945
Explanation: Step 1: 7*5 = 35 (write 5, carry 3)
Step 2: 7*3 + 2*5 = 31 + 3 = 34 (write 4, carry 3)
Step 3: 3*2 + 3 (carried) = 9
Therefore, the correct answer is 945
5. 93*97
Answer: 9021
Explanation: Step 1: 100 – 93 = 7, 100 – 97 = 3, 3*7 = 21 (last two digits)
Step 2: 97 – 7 = 93 – 3 = 90 (first two digits)
Therefore, the correct answer is 9021.
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6. 494*496
Answer: 245024
Explanation: Step 1: 500 – 494 = 6, 500 – 496 = 4
Step 2: 6*4 = 24 (last two digits)
Step 3: 494-4 = 496 -6 = 490*5 = 2450 (first 4 digits)
Therefore, the correct answer is 245021.
7. Find the value of 852
Answer: 60192
Explanation: (8*9) |25 = 7225
8. Find the square of 98
Answer: 9604
Explanation: Step 1: 100 – 98 = 2
Step 2: 2*2 = 04 (last two digits)
Step 3: 98 – 02 = 96 (first two digits)
Therefore, the correct answer is 9604.
9. 107*111
Answer: 11877
Explanation: Step 1: 107 – 100 = 7, 111- 100 = 11 Step 2: 7*11 = 77 (last two digits) Step 3: 107 + 11 = 111 + 07 = 118 (first three digits) Therefore, the correct answer is 11877
10. Find the square of 107.
Answer: 11449
Explanation: (107 + 7)*100 + 7*7 = 114*100 + 49 = 11449
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