Question

round the decimal number to the nearest thousandth.
4.64553
answer
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Explanation:

Step1: Identify the thousandth place

The decimal number is \(4.64553\). The thousandth place is the third digit after the decimal point, which is \(5\) (the digit in the thousandth place: \(4.64\underline{5}53\)). The next digit (the ten - thousandth place) is \(5\).

Step2: Apply the rounding rule

When rounding to the nearest thousandth, we look at the digit in the ten - thousandth place. If this digit is \(5\) or greater, we round up the digit in the thousandth place. Since the digit in the ten - thousandth place is \(5\), we add \(1\) to the digit in the thousandth place. So \(5 + 1=6\), and the digits after the thousandth place are dropped.

Answer:

\(4.646\)