To find the 9's and 10's complement of a decimal number, we first need to understand the concept of complement. The complement of a number is the number that, when added to the original number, results in a specific value.
For the 9's complement, we subtract each digit from 9, and for the 10's complement, we subtract each digit from 10.
Given the number 340.65, let's find its 9's and 10's complement:
1. 9's complement:
- Subtract each digit (except the decimal point) from 9.
- The integer part is 340:
- 9 - 3 = 6
- 9 - 4 = 5
- 9 - 0 = 9
- The decimal part is 65:
- 9 - 6 = 3
- 9 - 5 = 4
- Combining both parts, we get the 9's complement as 659.34.
2. 10's complement:
- Subtract each digit (except the decimal point) from 10.
- The integer part is 340:
- 10 - 3 = 7
- 10 - 4 = 6
- 10 - 0 = 10 (carry over 1)
- The decimal part is 65:
- 10 - 6 = 4
- 10 - 5 = 5
- Combining both parts, we get the 10's complement as 659.35.
Therefore, the 9's complement of 340.65 is 659.34, and the 10's complement is 659.35.
Answers & Comments
To find the 9's and 10's complement of a decimal number, we first need to understand the concept of complement. The complement of a number is the number that, when added to the original number, results in a specific value.
For the 9's complement, we subtract each digit from 9, and for the 10's complement, we subtract each digit from 10.
Given the number 340.65, let's find its 9's and 10's complement:
1. 9's complement:
- Subtract each digit (except the decimal point) from 9.
- The integer part is 340:
- 9 - 3 = 6
- 9 - 4 = 5
- 9 - 0 = 9
- The decimal part is 65:
- 9 - 6 = 3
- 9 - 5 = 4
- Combining both parts, we get the 9's complement as 659.34.
2. 10's complement:
- Subtract each digit (except the decimal point) from 10.
- The integer part is 340:
- 10 - 3 = 7
- 10 - 4 = 6
- 10 - 0 = 10 (carry over 1)
- The decimal part is 65:
- 10 - 6 = 4
- 10 - 5 = 5
- Combining both parts, we get the 10's complement as 659.35.
Therefore, the 9's complement of 340.65 is 659.34, and the 10's complement is 659.35.
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