Question

round 9.288875 to the nearest thousandth.

Explanation:

Step1: Identify the thousandth place

The number is \(9.288875\). The thousandth place is the third digit after the decimal, which is \(8\) (the digits after decimal are: first \(2\) (tenths), second \(8\) (hundredths), third \(8\) (thousandths), fourth \(8\) (ten - thousandths), etc.).

Step2: Look at the next digit (ten - thousandths place)

The digit in the ten - thousandths place is \(8\). Since \(8\geq5\), we round up the digit in the thousandths place.
The digit in the thousandths place is \(8\), when we round up, \(8 + 1=9\). The digits before the thousandths place remain the same, and the digits after the thousandths place are dropped. So \(9.288875\) rounded to the nearest thousandth is \(9.289\).

Answer:

\(9.289\)