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round the number to the nearest hundred - thousandth. 2.21070988 2.2107…

Question

round the number to the nearest hundred - thousandth. 2.21070988 2.21070988 rounded to the nearest hundred - thousandth is \boxed{}

Explanation:

Step1: Identify the digit

The number is \(2.21070988\). We need to round to the nearest hundred - thousandth. The hundred - thousandth place is the 5th digit after the decimal point. Let's write the digits after the decimal: \(2\) (tenths), \(1\) (hundredths), \(0\) (thousandths), \(7\) (ten - thousandths), \(0\) (hundred - thousandths), \(9\) (millionths), \(8\) (ten - millionths), \(8\) (hundred - millionths).

Step2: Look at the next digit

The digit in the hundred - thousandth place is \(0\), and the next digit (millionths place) is \(9\). Since \(9\gt5\), we round up the digit in the hundred - thousandth place.

Step3: Perform the rounding

Adding \(1\) to the \(0\) in the hundred - thousandth place, we get \(0 + 1=1\). The digits after the hundred - thousandth place are dropped. So the number rounded to the nearest hundred - thousandth is \(2.21071\).

Answer:

\(2.21071\)