Class 8 Exam > Class 8 Videos > Vedic Mathematics > Multiply any 2 or 3 Digits Numbers by 9999..... Series
Multiply any 2 or 3 Digits Numbers by 9999..... Series Video Lecture | Vedic Mathematics - Class 8
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FAQs on Multiply any 2 or 3 Digits Numbers by 9999..... Series Video Lecture - Vedic Mathematics - Class 8
| 1. How can I multiply a two-digit number by 9999? |  |
Ans. To multiply a two-digit number by 9999, you can follow these steps:
1. Write down the two-digit number.
2. Subtract the number from 100.
3. Place the difference before the original number.
4. Subtract the original number from 10000.
5. Place the difference after the original number.
6. The resulting number is the multiplication of the two-digit number by 9999.
For example, let's say you want to multiply 25 by 9999:
1. Write down 25.
2. Subtract 25 from 100: 100 - 25 = 75.
3. Place 75 before 25: 7525.
4. Subtract 25 from 10000: 10000 - 25 = 9975.
5. Place 9975 after 25: 259975.
6. Therefore, 25 multiplied by 9999 is equal to 259975.
| 2. How can I multiply a three-digit number by 9999? | |
Ans. To multiply a three-digit number by 9999, you can follow these steps:
1. Write down the three-digit number.
2. Subtract the number from 1000.
3. Place the difference before the original number.
4. Subtract the original number from 10000.
5. Place the difference after the original number.
6. The resulting number is the multiplication of the three-digit number by 9999.
For example, let's say you want to multiply 345 by 9999:
1. Write down 345.
2. Subtract 345 from 1000: 1000 - 345 = 655.
3. Place 655 before 345: 655345.
4. Subtract 345 from 10000: 10000 - 345 = 9655.
5. Place 9655 after 345: 3459655.
6. Therefore, 345 multiplied by 9999 is equal to 3459655.
| 3. Why does multiplying a number by 9999 result in a pattern of repeating digits? | |
Ans. Multiplying any number by 9999 results in a pattern of repeating digits because 9999 is one less than 10000. When we subtract a number from 10000, we are essentially complementing it. This complementation causes the digits to repeat in a pattern.
For example, let's consider the multiplication of 25 by 9999:
1. Subtracting 25 from 10000 gives us 9975.
2. If we subtract 25 from 100000, the result would be 99775.
3. The pattern continues as we subtract 25 from larger multiples of 10000, resulting in 997525, 9975025, and so on.
This pattern of repeating digits occurs because the subtraction of any number from 10000 creates a repeated pattern of the number being subtracted.
| 4. Can I use the same method to multiply any number by 9999? | |
Ans. Yes, you can use the same method to multiply any number by 9999. The method of subtracting the number from 10000 and placing the difference before and after the original number applies to any number, whether it is a two-digit, three-digit, or even a larger number.
For example, if you want to multiply 1234 by 9999, you can follow these steps:
1. Subtract 1234 from 10000: 10000 - 1234 = 8766.
2. Place 8766 before 1234: 87661234.
3. Subtract 1234 from 10000: 10000 - 1234 = 8766.
4. Place 8766 after 1234: 12348766.
Therefore, the multiplication of 1234 by 9999 is equal to 12348766.
| 5. Are there any shortcuts or alternative methods to multiply by 9999? | |
Ans. Yes, there is an alternative method to multiply by 9999. You can use the fact that 9999 is one less than 10000. Therefore, multiplying any number by 9999 is equivalent to subtracting the number from 10000 and then multiplying the result by 10000, followed by subtracting the original number from that result.
For example, if you want to multiply 456 by 9999, you can follow these steps:
1. Subtract 456 from 10000: 10000 - 456 = 9544.
2. Multiply 9544 by 10000: 9544 * 10000 = 95440000.
3. Subtract 456 from 95440000: 95440000 - 456 = 95439544.
Therefore, the multiplication of 456 by 9999 is equal to 95439544.
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Nov 21, 2024 Last updated |
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