Sure, let's go through the steps to solve each part of the question using the number 19899.954.
### (i) Round to the nearest thousand
To round 19899.954 to the nearest thousand, we look at the digit in the hundreds place, which is 8. Since 8 is greater than or equal to 5, we round up. Therefore, 19899.954 rounded to the nearest thousand is:
[tex]\[ 20000.0 \][/tex]
### (ii) Correct to 2 decimal places
To correct 19899.954 to 2 decimal places, we need to consider the digit in the third decimal place, which is 4. Since 4 is less than 5, we round down, keeping the second decimal place unchanged. Thus, the number 19899.954 correct to 2 decimal places is:
[tex]\[ 19899.95 \][/tex]
### (iii) Round to 3 significant figures
To round 19899.954 to 3 significant figures, we need to consider the fourth significant digit, which is 9. Since this digit is greater than or equal to 5, we round up the third significant digit, which is 8, to 9. This results in:
[tex]\[ 19900.0 \][/tex]
So, the number 19899.954 is written as:
- To the nearest thousand: 20000.0
- Correct to 2 decimal places: 19899.95
- To 3 significant figures: 19900.0
