To round the number \(0.4285714286\) to the specified decimal places:
Round to the thousandths place: The digit in the thousandths place is \(8\) (third digit after the decimal), and the digit after it is \(5\). Since \(5\) is equal to or greater than \(5\), we round up the \(8\) to \(9\). Thus, rounding \(0.4285714286\) to the thousandths place results in: \[ 0.429 \]
Round to the hundredths place: The digit in the hundredths place is \(2\) (second digit after the decimal), and the digit after it is \(8\). Since \(8\) is greater than \(5\), we round up the \(2\) to \(3\). Therefore, rounding \(0.4285714286\) to the hundredths place results in: \[ 0.43 \]
To summarize:
- Rounding to the thousandths place: \(0.429\)
- Rounding to the hundredths place: \(0.43\)