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प्रश्न
The multiplicative inverse of 1010 is ______.
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उत्तर
The multiplicative inverse of 1010 is 10–10.
Explanation:
For multiplicative inverse, a is called the multiplicative inverse of b, if a × b = 1.
Put b = 1010
Then, a × 1010 = 1
⇒ `a = 1/10^10` ...`[∵ 1/a^m = a^-m]`
∴ a = 10–10
Hence, the multiplicative inverse of 1010 is 10–10
APPEARS IN
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Predicting the ones digit, copy and complete this table and answer the questions that follow.
| Powers Table | ||||||||||
| x | 1x | 2x | 3x | 4x | 5x | 6x | 7x | 8x | 9x | 10x |
| 1 | 1 | 2 | ||||||||
| 2 | 1 | 4 | ||||||||
| 3 | 1 | 8 | ||||||||
| 4 | 1 | 16 | ||||||||
| 5 | 1 | 32 | ||||||||
| 6 | 1 | 64 | ||||||||
| 7 | 1 | 128 | ||||||||
| 8 | 1 | 256 | ||||||||
| Ones Digits of the Powers |
1 | 2, 4, 8, 6 | ||||||||
- Describe patterns you see in the ones digits of the powers.
- Predict the ones digit in the following:
- 412
- 920
- 317
- 5100
- 10500
- Predict the ones digit in the following:
- 3110
- 1210
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