Write \(19.919\) to (a) 2 d.p., (b) 1 d.p.

Short Answer

Expert verified
Question: Round the number 19.919 to 2 decimal places and 1 decimal place. Answer: When rounded to 2 decimal places, 19.919 becomes 19.92. When rounded to 1 decimal place, 19.919 becomes 19.9.

Step by step solution

01

Identify the decimal places

In the given number \(19.919\), we can see there are three decimal places. Let's identify the digits in each position: 1st decimal place: 9 2nd decimal place: 1 3rd decimal place: 9 Now, we'll proceed to round the number to both 2 decimal places and 1 decimal place.
02

Round \(19.919\) to 2 decimal places

To round \(19.919\) to 2 decimal places, we'll analyze the digit in the 3rd decimal place, which is 9. Since 9 is greater than 5, we'll round up. To do this, we add 1 to the digit in the 2nd decimal place and keep the first decimal place as it is: \(19.91\boxed{9} \rightarrow 19.92\) So, \(19.919\) rounded to 2 decimal places is \(19.92\).
03

Round \(19.919\) to 1 decimal place

To round \(19.919\) to 1 decimal place, we'll analyze the digit in the 2nd decimal place, which is 1. Since 1 is less than 5, we'll round down, which means we'll keep the first decimal place as it is and remove the following decimal places: \(19.\boxed{91}9 \rightarrow 19.9\) So, \(19.919\) rounded to 1 decimal place is \(19.9\).

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