Question

1. critique reasoning danny said 12.309 rounded to the nearest tenth is 12.4. is danny correct? explain.

Explanation:

Step1: Recall rounding rules

To round to the nearest tenth, we look at the hundredth place. The number is \(12.309\). The tenths place is \(3\), the hundredths place is \(0\), and the thousandths place is \(9\).

Step2: Apply rounding rule

The rule for rounding is: if the digit in the next place (hundredths place here) is less than \(5\), we keep the tenths digit the same; if it's \(5\) or more, we round up the tenths digit. Since the hundredths digit is \(0\) (which is less than \(5\)), we keep the tenths digit \(3\) as it is. So \(12.309\) rounded to the nearest tenth is \(12.3\), not \(12.4\).

Answer:

Danny is not correct. \(12.309\) rounded to the nearest tenth is \(12.3\) because the digit in the hundredths place (\(0\)) is less than \(5\), so we do not round up the tenths place digit.