Answer :
To solve this problem, we need to round the given number 0.7897 to the appropriate number of decimal places.
### Steps to Round the Number:
1. Identify the Decimal Places:
- We are given the number 0.7897.
- We need to round it to three decimal places.
2. Focus on the Third and Fourth Decimal Places:
- The third decimal place is 9 (in 0.7897, it is the third digit after the decimal point).
- The fourth decimal place is 7 (the digit immediately following the third decimal place).
3. Apply Rounding Rules:
- If the digit in the fourth decimal place is 5 or greater, we need to round up the third decimal place by one.
- In our case, the fourth decimal place is 7, which is greater than 5.
4. Round the Number:
- Since 7 is greater than 5, we round up the third decimal place 9 by 1.
- Therefore, 9 rounded up by 1 results in 0 (because 9+1=10, which results in a carrying over, converting the 9 into 0 and adding 1 to the digit before the 9).
5. Final Result:
- The number 0.7897 rounded to three decimal places is 0.790.
- We can drop the trailing zero in the decimal part when writing it as a simplified decimal representation, so we get 0.79.
Thus, upon rounding 0.7897 to three decimal places, we arrive at 0.79.
Circle your answer:
0.782
0.789
0.7897
[tex]$0.78 \dot{9}$[/tex]
➡ 0.79
### Steps to Round the Number:
1. Identify the Decimal Places:
- We are given the number 0.7897.
- We need to round it to three decimal places.
2. Focus on the Third and Fourth Decimal Places:
- The third decimal place is 9 (in 0.7897, it is the third digit after the decimal point).
- The fourth decimal place is 7 (the digit immediately following the third decimal place).
3. Apply Rounding Rules:
- If the digit in the fourth decimal place is 5 or greater, we need to round up the third decimal place by one.
- In our case, the fourth decimal place is 7, which is greater than 5.
4. Round the Number:
- Since 7 is greater than 5, we round up the third decimal place 9 by 1.
- Therefore, 9 rounded up by 1 results in 0 (because 9+1=10, which results in a carrying over, converting the 9 into 0 and adding 1 to the digit before the 9).
5. Final Result:
- The number 0.7897 rounded to three decimal places is 0.790.
- We can drop the trailing zero in the decimal part when writing it as a simplified decimal representation, so we get 0.79.
Thus, upon rounding 0.7897 to three decimal places, we arrive at 0.79.
Circle your answer:
0.782
0.789
0.7897
[tex]$0.78 \dot{9}$[/tex]
➡ 0.79
